Recognised as Number

1,379,377

Positive
Odd
Composite
7 digits

1,379,377 is an odd 7-digit integer and a composite number. It has 4 divisors and a digital root of 1.

Number properties

ParityOddnot divisible by 2

SignPositive

PrimalityComposite

Absolute value1,379,377

Digit count7

Digit sum37

Digit product27,783

Multiplicative persistence4times the digit product can be taken before one digit is left

Digital root1repeated digit sum

PalindromicNoreads differently backwards

Happy numberNosquared-digit sums reach 1

Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation83 × 16,619

Distinct prime factors283, 16,619

Number of divisors4

Sum of divisors σ(n)1,396,080

Aliquot sum16,703sum of the proper divisors

ClassificationDeficientthe aliquot sum is less than the number

Euler's totient φ(n)1,362,676integers below n that share no factor with it

Carmichael function λ(n)681,338the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 1,362,676

Möbius function μ(n)+12 distinct prime factors, an even number of them

SquarefreeYesno repeated prime factor

All divisors1, 83, 16,619, 1,379,3774 in total

Arithmetic

Previous number1,379,376

Next number1,379,378

Double2,758,754

Half689,688.5

Square1,902,680,908,129

Cube2,624,514,283,012,255,633

Square root1,174.468816104≈irrational, shown to 9 decimal places

Cube root111.316871802≈

Negation-1,379,377

Reciprocal7.24964966 × 10^-7≈

Representations

Decimal1,379,377

Binary10101000011000011000121 bits

Octal5206061

Hexadecimal150C31

Base 36TKC1

Roman numeralNot defined above 3,999there is no agreed standard notation

In wordsone million, three hundred and seventy-nine thousand, three hundred and seventy-seven

Ordinalone million, three hundred and seventy-nine thousand, three hundred and seventy-seventh

Scientific notation1.379377 × 10^6

Engineering notation1.379377 × 10^6

In other bases

Ternary2121002011001base 3; the most digit-efficient integer base after e: 13 digits

Quinary323120002base 5; one hand: 9 digits

Septenary14503336base 7: 8 digits

Nonary2532131base 9; each digit is two ternary digits: 7 digits

Duodecimal566301base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 6 digits

Vigesimal8c88hbase 20; hands and feet, and the Mayan and Yoruba systems: 5 digits

Sexagesimal6:23:9:37base 60; Babylonian, and still how an hour and a circle are divided: 4 digits

Balanced ternary10TT101T011001digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed

Negabinary101010001110001110001base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign

Bit-level

00000000000101010000110000110001

Bit length21 bitsto write the magnitude

Set bits8the population count, or Hamming weight

Zero bits13within that length

Bit parityeven8 set bits, so even; not the same as the number itself being odd

Highest set bitbit 20worth 1,048,576

Lowest set bitbit 00 trailing zeros

Power of twoNo

Bytes315 0c 31

Gray code111111000101000101001n XOR (n >> 1); successive values differ in exactly one bit

At each machine width

32-bit00000000000101010000110000110001

64-bit0000000000000000000000000000000000000000000101010000110000110001

One's complement11111111111010101111001111001110at 32 bits, every bit flipped

Bits reversed10001100001100001010100000000000at 32 bits

Rotated left by 100000000001010100001100001100010at 32 bits, wrapping

Shifted left by 11010100001100001100010= 2,758,754, no wrap

Shifted right by 110101000011000011000= 689,688, discarding the low bit

These bits as a double6.81502788 × 10^-318≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)

Nearest landmarks

Next prime1,379,383+6

Previous prime1,379,369−8

Distance to nearest prime6

Nearest square below1,378,276

Nearest square above1,380,625

Powers & multiples

1,379,377 to the power 21,902,680,908,129

1,379,377 to the power 32,624,514,283,012,255,633

1,379,377 to the power 43,620,194,638,158,596,138,280,641

1,379,377 to the power 54,993,613,219,399,289,865,433,135,740,657

First ten multiples1,379,377, 2,758,754, 4,138,131, 5,517,508, 6,896,885, 8,276,262, 9,655,639, 11,035,016, 12,414,393, 13,793,770

Powers of twoBetween 2^20 (1,048,576) and 2^21 (2,097,152)

Divisibility tests

Divisible by 2No, remainder 1

Divisible by 3No, remainder 1

Divisible by 4No, remainder 1

Divisible by 5No, remainder 2

Divisible by 6No, remainder 1

Divisible by 7No, remainder 6

Divisible by 8No, remainder 1

Divisible by 9No, remainder 1

Divisible by 10No, remainder 7

Divisible by 11No, remainder 10

Divisible by 12No, remainder 1

Divisible by 100No, remainder 77

Collatz (3n + 1) trajectory

Steps to reach 1137the total stopping time

Highest value reached4,138,1323× the starting value

Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven

First steps1,379,377 → 4,138,132 → 2,069,066 → 1,034,533 → 3,103,600 → 1,551,800 → 775,900 → 387,950 → 193,975 → 581,926 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage137,937,700%

1,379,377% as a decimal13,793.77

1,379,377% of 1001,379,377

1,379,377% of 1,00013,793,770

As a fraction of 1001,379,377/100

Read another way

As seconds15 days, 23 hours and 9 minutes

As bytes1.315 MiB

As a 24-bit colour#150C31

Keep nerding

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