number.wiki
Live analysis

131,777

131,777 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.).

131,777 (one hundred thirty-one thousand seven hundred seventy-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x202C1.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
26
Digit product
1,029
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
777,131
Recamán's sequence
a(228,818) = 131,777
Square (n²)
17,365,177,729
Cube (n³)
2,288,331,025,594,433
Divisor count
2
σ(n) — sum of divisors
131,778
φ(n) — Euler's totient
131,776

Primality

131,777 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 131777
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 131,777)
1 × 131777
First multiples
131,777 · 263,554 (double) · 395,331 · 527,108 · 658,885 · 790,662 · 922,439 · 1,054,216 · 1,185,993 · 1,317,770

Sums & aliquot sequence

As a sum of two squares: 71² + 356²
As consecutive integers: 65,888 + 65,889

Continued fraction of √n

√131,777 = [363; (90, 1, 3, 45, 7, 1, 21, 1, 4, 2, 1, 10, 1, 1, 1, 10, 5, 1, 1, 2, 1, 2, 3, 2, …)]

Representations

In words
one hundred thirty-one thousand seven hundred seventy-seven
Ordinal
131777th
Binary
100000001011000001
Octal
401301
Hexadecimal
0x202C1
Base64
AgLB
One's complement
4,294,835,518 (32-bit)
Scientific notation
1.31777 × 10⁵
As a duration
131,777 s = 1 day, 12 hours, 36 minutes, 17 seconds
In other bases
ternary (3) 20200202122
quaternary (4) 200023001
quinary (5) 13204102
senary (6) 2454025
septenary (7) 1056122
nonary (9) 220678
undecimal (11) 90008
duodecimal (12) 64315
tridecimal (13) 47c99
tetradecimal (14) 36049
pentadecimal (15) 290a2

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλαψοζʹ
Mayan (base 20)
𝋰·𝋩·𝋨·𝋱
Chinese
一十三萬一千七百七十七
Chinese (financial)
壹拾參萬壹仟柒佰柒拾柒
In other modern scripts
Eastern Arabic ١٣١٧٧٧ Devanagari १३१७७७ Bengali ১৩১৭৭৭ Tamil ௧௩௧௭௭௭ Thai ๑๓๑๗๗๗ Tibetan ༡༣༡༧༧༧ Khmer ១៣១៧៧៧ Lao ໑໓໑໗໗໗ Burmese ၁၃၁၇၇၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 131779, sexy with 131771.

Unicode codepoint
𠋁
CJK Unified Ideograph-202C1
U+202C1
Other letter (Lo)

UTF-8 encoding: F0 A0 8B 81 (4 bytes).

Hex color
#0202C1
RGB(2, 2, 193)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.2.193.

Address
0.2.2.193
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.2.193

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 131,777 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.