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131,837

131,837 is a prime, odd.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

131,837 (one hundred thirty-one thousand eight hundred thirty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x202FD.

Arithmetic Number Chen Prime Cube-Free Deficient Number Happy Number Odious Number Prime Pythagorean Prime Recamán's Sequence Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
504
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
738,131
Recamán's sequence
a(228,698) = 131,837
Square (n²)
17,380,994,569
Cube (n³)
2,291,458,180,993,253
Divisor count
2
σ(n) — sum of divisors
131,838
φ(n) — Euler's totient
131,836

Primality

131,837 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 131837
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 131,837)
1 × 131837
First multiples
131,837 · 263,674 (double) · 395,511 · 527,348 · 659,185 · 791,022 · 922,859 · 1,054,696 · 1,186,533 · 1,318,370

Sums & aliquot sequence

As a sum of two squares: 206² + 299²
As consecutive integers: 65,918 + 65,919

Continued fraction of √n

√131,837 = [363; (10, 1, 2, 9, 1, 1, 1, 1, 9, 2, 1, 10, 726)]

Period length 13 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand eight hundred thirty-seven
Ordinal
131837th
Binary
100000001011111101
Octal
401375
Hexadecimal
0x202FD
Base64
AgL9
One's complement
4,294,835,458 (32-bit)
Scientific notation
1.31837 × 10⁵
As a duration
131,837 s = 1 day, 12 hours, 37 minutes, 17 seconds
In other bases
ternary (3) 20200211212
quaternary (4) 200023331
quinary (5) 13204322
senary (6) 2454205
septenary (7) 1056236
nonary (9) 220755
undecimal (11) 90062
duodecimal (12) 64365
tridecimal (13) 48014
tetradecimal (14) 3608d
pentadecimal (15) 290e2

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλαωλζʹ
Mayan (base 20)
𝋰·𝋩·𝋫·𝋱
Chinese
一十三萬一千八百三十七
Chinese (financial)
壹拾參萬壹仟捌佰參拾柒
In other modern scripts
Eastern Arabic ١٣١٨٣٧ Devanagari १३१८३७ Bengali ১৩১৮৩৭ Tamil ௧௩௧௮௩௭ Thai ๑๓๑๘๓๗ Tibetan ༡༣༡༨༣༧ Khmer ១៣១៨៣៧ Lao ໑໓໑໘໓໗ Burmese ၁၃၁၈၃၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 131839.

Unicode codepoint
𠋽
CJK Unified Ideograph-202Fd
U+202FD
Other letter (Lo)

UTF-8 encoding: F0 A0 8B BD (4 bytes).

Hex color
#0202FD
RGB(2, 2, 253)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.2.253.

Address
0.2.2.253
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.2.253

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

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 131,837 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

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.