number.wiki
Number

37,139

37,139 is a prime, odd.

37,139 (thirty-seven thousand one hundred thirty-nine) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x9113.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Prime Recamán's Sequence Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
23
Digit product
567
Digital root
5
Palindrome
No
Bit width
16 bits
Reversed
93,173
Recamán's sequence
a(155,701) = 37,139
Square (n²)
1,379,305,321
Cube (n³)
51,226,020,316,619
Divisor count
2
σ(n) — sum of divisors
37,140
φ(n) — Euler's totient
37,138

Primality

37,139 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 37139
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 37,139)
1 × 37139
First multiples
37,139 · 74,278 (double) · 111,417 · 148,556 · 185,695 · 222,834 · 259,973 · 297,112 · 334,251 · 371,390

Sums & aliquot sequence

As consecutive integers: 18,569 + 18,570

Continued fraction of √n

√37,139 = [192; (1, 2, 1, 1, 37, 1, 34, 15, 2, 1, 1, 2, 1, 9, 1, 2, 3, 1, 1, 2, 3, 4, 1, 2, …)]

Representations

In words
thirty-seven thousand one hundred thirty-nine
Ordinal
37139th
Binary
1001000100010011
Octal
110423
Hexadecimal
0x9113
Base64
kRM=
One's complement
28,396 (16-bit)
Scientific notation
3.7139 × 10⁴
As a duration
37,139 s = 10 hours, 18 minutes, 59 seconds
In other bases
ternary (3) 1212221112
quaternary (4) 21010103
quinary (5) 2142024
senary (6) 443535
septenary (7) 213164
nonary (9) 55845
undecimal (11) 259a3
duodecimal (12) 195ab
tridecimal (13) 13b9b
tetradecimal (14) d76b
pentadecimal (15) b00e

As an angle

37,139° = 103 × 360° + 59°
59° ≈ 1.03 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵λζρλθʹ
Mayan (base 20)
𝋤·𝋬·𝋰·𝋳
Chinese
三萬七千一百三十九
Chinese (financial)
參萬柒仟壹佰參拾玖
In other modern scripts
Eastern Arabic ٣٧١٣٩ Devanagari ३७१३९ Bengali ৩৭১৩৯ Tamil ௩௭௧௩௯ Thai ๓๗๑๓๙ Tibetan ༣༧༡༣༩ Khmer ៣៧១៣៩ Lao ໓໗໑໓໙ Burmese ၃၇၁၃၉

Digit at this position in famous constants

π — Pi (π)
Digit 37,139 = 3
e — Euler's number (e)
Digit 37,139 = 5
φ — Golden ratio (φ)
Digit 37,139 = 3
√2 — Pythagoras's (√2)
Digit 37,139 = 9
ln 2 — Natural log of 2
Digit 37,139 = 5
γ — Euler-Mascheroni (γ)
Digit 37,139 = 6

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 37,123 (gap of 16)
  • Next prime: 37,159 (gap of 20)
Unicode codepoint
CJK Unified Ideograph-9113
U+9113
Other letter (Lo)

UTF-8 encoding: E9 84 93 (3 bytes).

Hex color
#009113
RGB(0, 145, 19)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.145.19.

Address
0.0.145.19
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.145.19

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Position in π

The digit sequence 37139 first appears in π at position 20,728 of the decimal expansion (the 20,728ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.