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131,797

131,797 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.).

131,797 (one hundred thirty-one thousand seven hundred ninety-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x202D5.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
28
Digit product
1,323
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
797,131
Recamán's sequence
a(228,778) = 131,797
Square (n²)
17,370,449,209
Cube (n³)
2,289,373,094,398,573
Divisor count
2
σ(n) — sum of divisors
131,798
φ(n) — Euler's totient
131,796

Primality

131,797 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 131797
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 131,797)
1 × 131797
First multiples
131,797 · 263,594 (double) · 395,391 · 527,188 · 658,985 · 790,782 · 922,579 · 1,054,376 · 1,186,173 · 1,317,970

Sums & aliquot sequence

As a sum of two squares: 54² + 359²
As consecutive integers: 65,898 + 65,899

Continued fraction of √n

√131,797 = [363; (25, 1, 13, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 55, 4, 3, 1, 1, 2, 5, 6, 1, …)]

Period length 49 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand seven hundred ninety-seven
Ordinal
131797th
Binary
100000001011010101
Octal
401325
Hexadecimal
0x202D5
Base64
AgLV
One's complement
4,294,835,498 (32-bit)
Scientific notation
1.31797 × 10⁵
As a duration
131,797 s = 1 day, 12 hours, 36 minutes, 37 seconds
In other bases
ternary (3) 20200210101
quaternary (4) 200023111
quinary (5) 13204142
senary (6) 2454101
septenary (7) 1056151
nonary (9) 220711
undecimal (11) 90026
duodecimal (12) 64331
tridecimal (13) 47cb3
tetradecimal (14) 36061
pentadecimal (15) 290b7

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλαψϟζʹ
Mayan (base 20)
𝋰·𝋩·𝋩·𝋱
Chinese
一十三萬一千七百九十七
Chinese (financial)
壹拾參萬壹仟柒佰玖拾柒
In other modern scripts
Eastern Arabic ١٣١٧٩٧ Devanagari १३१७९७ Bengali ১৩১৭৯৭ Tamil ௧௩௧௭௯௭ Thai ๑๓๑๗๙๗ Tibetan ༡༣༡༧༩༧ Khmer ១៣១៧៩៧ Lao ໑໓໑໗໙໗ Burmese ၁၃၁၇၉၇

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𠋕
CJK Unified Ideograph-202D5
U+202D5
Other letter (Lo)

UTF-8 encoding: F0 A0 8B 95 (4 bytes).

Hex color
#0202D5
RGB(2, 2, 213)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.2.213.

Address
0.2.2.213
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.2.213

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 131,797 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 131797 first appears in π at position 659,218 of the decimal expansion (the 659,218ordinal-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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.