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131,507

131,507 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.).

131,507 (one hundred thirty-one thousand five hundred seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x201B3.

Arithmetic Number Chen Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
705,131
Recamán's sequence
a(229,358) = 131,507
Square (n²)
17,294,091,049
Cube (n³)
2,274,294,031,580,843
Divisor count
2
σ(n) — sum of divisors
131,508
φ(n) — Euler's totient
131,506

Primality

131,507 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 131507
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 131,507)
1 × 131507
First multiples
131,507 · 263,014 (double) · 394,521 · 526,028 · 657,535 · 789,042 · 920,549 · 1,052,056 · 1,183,563 · 1,315,070

Sums & aliquot sequence

As consecutive integers: 65,753 + 65,754

Continued fraction of √n

√131,507 = [362; (1, 1, 1, 3, 2, 1, 14, 1, 2, 1, 4, 17, 2, 11, 2, 2, 9, 1, 4, 3, 5, 2, 1, 1, …)]

Representations

In words
one hundred thirty-one thousand five hundred seven
Ordinal
131507th
Binary
100000000110110011
Octal
400663
Hexadecimal
0x201B3
Base64
AgGz
One's complement
4,294,835,788 (32-bit)
Scientific notation
1.31507 × 10⁵
As a duration
131,507 s = 1 day, 12 hours, 31 minutes, 47 seconds
In other bases
ternary (3) 20200101122
quaternary (4) 200012303
quinary (5) 13202012
senary (6) 2452455
septenary (7) 1055255
nonary (9) 220348
undecimal (11) 8a892
duodecimal (12) 6412b
tridecimal (13) 47b1c
tetradecimal (14) 35cd5
pentadecimal (15) 28e72

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλαφζʹ
Mayan (base 20)
𝋰·𝋨·𝋯·𝋧
Chinese
一十三萬一千五百零七
Chinese (financial)
壹拾參萬壹仟伍佰零柒
In other modern scripts
Eastern Arabic ١٣١٥٠٧ Devanagari १३१५०७ Bengali ১৩১৫০৭ Tamil ௧௩௧௫௦௭ Thai ๑๓๑๕๐๗ Tibetan ༡༣༡༥༠༧ Khmer ១៣១៥០៧ Lao ໑໓໑໕໐໗ Burmese ၁၃၁၅၀၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 131501.

Unicode codepoint
𠆳
CJK Unified Ideograph-201B3
U+201B3
Other letter (Lo)

UTF-8 encoding: F0 A0 86 B3 (4 bytes).

Hex color
#0201B3
RGB(2, 1, 179)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.1.179.

Address
0.2.1.179
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.1.179

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 131,507 and was likely granted around 1872.

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

Position in π

The digit sequence 131507 first appears in π at position 81,391 of the decimal expansion (the 81,391ordinal-suffix:st 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.