Recognised as Number

37,378

Positive
Even
Composite
5 digits

37,378 is an even 5-digit integer and a composite number. It has 8 divisors and a digital root of 1.

Number properties

ParityEvendivisible by 2

SignPositive

PrimalityComposite

Absolute value37,378

Digit count5

Digit sum28

Digit product3,528

Multiplicative persistence3times 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 factorisation2 × 11 × 1,699

Distinct prime factors32, 11, 1,699

Number of divisors8

Sum of divisors σ(n)61,200

Aliquot sum23,822sum of the proper divisors

ClassificationDeficientthe aliquot sum is less than the number

Euler's totient φ(n)16,980integers below n that share no factor with it

Carmichael function λ(n)8,490the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 16,980

Möbius function μ(n)−13 distinct prime factors, an odd number of them

SquarefreeYesno repeated prime factor

All divisors1, 2, 11, 22, 1,699, 3,398, 18,689, 37,3788 in total

Arithmetic

Previous number37,377

Next number37,379

Double74,756

Half18,689

Square1,397,114,884

Cube52,221,360,134,152

Square root193.333908045≈irrational, shown to 9 decimal places

Cube root33.435309927≈

Negation-37,378

Reciprocal0.0000267537≈

Representations

Decimal37,378

Binary100100100000001016 bits

Octal111002

Hexadecimal9202

Base 36SUA

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

In wordsthirty-seven thousand, three hundred and seventy-eight

Ordinalthirty-seven thousand, three hundred and seventy-eighth

Scientific notation3.7378 × 10^4

Engineering notation37.378 × 10^3

In other bases

Ternary1220021101base 3; the most digit-efficient integer base after e: 10 digits

Quinary2144003base 5; one hand: 7 digits

Septenary213655base 7: 6 digits

Nonary56241base 9; each digit is two ternary digits: 5 digits

Duodecimal1976abase 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 5 digits

Vigesimal4d8ibase 20; hands and feet, and the Mayan and Yoruba systems: 4 digits

Sexagesimal10:22:58base 60; Babylonian, and still how an hour and a circle are divided: 3 digits

Balanced ternary1T0T01T1101digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed

Negabinary11001011000000110base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign

Bit-level

1001001000000010

Bit length16 bitsto write the magnitude

Set bits4the population count, or Hamming weight

Zero bits12within that length

Bit parityeven4 set bits, so even; not the same as the number itself being even

Highest set bitbit 15worth 32,768

Lowest set bitbit 11 trailing zero

Power of twoNo

Bytes292 02

Gray code1101101100000011n XOR (n >> 1); successive values differ in exactly one bit

At each machine width

16-bit1001001000000010

32-bit00000000000000001001001000000010

64-bit0000000000000000000000000000000000000000000000001001001000000010

One's complement0110110111111101at 16 bits, every bit flipped

Bits reversed0100000001001001at 16 bits

Rotated left by 10010010000000101at 16 bits, wrapping

Shifted left by 110010010000000100= 74,756, no wrap

Shifted right by 1100100100000001= 18,689, discarding the low bit

These bits as a double1.84671857 × 10^-319≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)

Nearest landmarks

Next prime37,379+1

Previous prime37,369−9

Distance to nearest prime1

Nearest square below37,249

Nearest square above37,636

Powers & multiples

37,378 to the power 21,397,114,884

37,378 to the power 352,221,360,134,152

37,378 to the power 41,951,929,999,094,333,456

37,378 to the power 572,959,239,506,147,995,918,368

First ten multiples37,378, 74,756, 112,134, 149,512, 186,890, 224,268, 261,646, 299,024, 336,402, 373,780

Powers of twoBetween 2^15 (32,768) and 2^16 (65,536)

Divisibility tests

Divisible by 2Yes

Divisible by 3No, remainder 1

Divisible by 4No, remainder 2

Divisible by 5No, remainder 3

Divisible by 6No, remainder 4

Divisible by 7No, remainder 5

Divisible by 8No, remainder 2

Divisible by 9No, remainder 1

Divisible by 10No, remainder 8

Divisible by 11Yes

Divisible by 12No, remainder 10

Divisible by 100No, remainder 78

Collatz (3n + 1) trajectory

Steps to reach 136the total stopping time

Highest value reached56,0681× the starting value

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

First steps37,378 → 18,689 → 56,068 → 28,034 → 14,017 → 42,052 → 21,026 → 10,513 → 31,540 → 15,770 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage3,737,800%

37,378% as a decimal373.78

37,378% of 10037,378

37,378% of 1,000373,780

As a fraction of 10037,378/100

Read another way

As seconds10 hours, 22 minutes and 58 seconds

As bytes36.502 KiB

As a 24-bit colour#009202

Keep nerding

Every link below is a page Nerdulator can generate from what it already knows about this value.