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Number

83,137

83,137 is a prime, odd.

Arithmetic Number Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Properties

Parity
Odd
Digit count
5
Digit sum
22
Digit product
504
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
73,138
Recamán's sequence
a(116,417) = 83,137
Square (n²)
6,911,760,769
Cube (n³)
574,623,055,052,353
Divisor count
2
σ(n) — sum of divisors
83,138
φ(n) — Euler's totient
83,136

Primality

83,137 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 83137
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 83,137)
1 × 83137
First multiples
83,137 · 166,274 (double) · 249,411 · 332,548 · 415,685 · 498,822 · 581,959 · 665,096 · 748,233 · 831,370

Sums & aliquot sequence

As a sum of two squares: 191² + 216²
As consecutive integers: 41,568 + 41,569

Representations

In words
eighty-three thousand one hundred thirty-seven
Ordinal
83137th
Binary
10100010011000001
Octal
242301
Hexadecimal
0x144C1
Base64
AUTB
One's complement
4,294,884,158 (32-bit)
In other bases
ternary (3) 11020001011
quaternary (4) 110103001
quinary (5) 10130022
senary (6) 1440521
septenary (7) 464245
nonary (9) 136034
undecimal (11) 5750a
duodecimal (12) 40141
tridecimal (13) 2bac2
tetradecimal (14) 22425
pentadecimal (15) 19977

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵πγρλζʹ
Mayan (base 20)
𝋪·𝋧·𝋰·𝋱
Chinese
八萬三千一百三十七
Chinese (financial)
捌萬參仟壹佰參拾柒
In other modern scripts
Eastern Arabic ٨٣١٣٧ Devanagari ८३१३७ Bengali ৮৩১৩৭ Tamil ௮௩௧௩௭ Thai ๘๓๑๓๗ Tibetan ༨༣༡༣༧ Khmer ៨៣១៣៧ Lao ໘໓໑໓໗ Burmese ၈၃၁၃၇

Digit at this position in famous constants

π — Pi (π)
Digit 83,137 = 3
e — Euler's number (e)
Digit 83,137 = 3
φ — Golden ratio (φ)
Digit 83,137 = 2
√2 — Pythagoras's (√2)
Digit 83,137 = 6
ln 2 — Natural log of 2
Digit 83,137 = 0
γ — Euler-Mascheroni (γ)
Digit 83,137 = 4

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 83,117 (gap of 20)
  • Next prime: 83,177 (gap of 40)
Unicode codepoint
𔓁
Anatolian Hieroglyph A166
U+144C1
Other letter (Lo)

UTF-8 encoding: F0 94 93 81 (4 bytes).

Hex color
#0144C1
RGB(1, 68, 193)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.68.193.

Address
0.1.68.193
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.68.193

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000083137
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 83137 first appears in π at position 85,179 of the decimal expansion (the 85,179ordinal-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.