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131,816

131,816 is a composite number, even.

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.).

131,816 (one hundred thirty-one thousand eight hundred sixteen) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2³ × 16,477. Written other ways, in hexadecimal, 0x202E8.

Deficient Number Evil Number Recamán's Sequence Refactorable Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
144
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
618,131
Recamán's sequence
a(228,740) = 131,816
Square (n²)
17,375,457,856
Cube (n³)
2,290,363,352,746,496
Divisor count
8
σ(n) — sum of divisors
247,170
φ(n) — Euler's totient
65,904
Sum of prime factors
16,483

Primality

Prime factorization: 2 3 × 16477

Nearest primes: 131,797 (−19) · 131,837 (+21)

Divisors & multiples

All divisors (8)
1 · 2 · 4 · 8 · 16477 · 32954 · 65908 (half) · 131816
Aliquot sum (sum of proper divisors): 115,354
Factor pairs (a × b = 131,816)
1 × 131816
2 × 65908
4 × 32954
8 × 16477
First multiples
131,816 · 263,632 (double) · 395,448 · 527,264 · 659,080 · 790,896 · 922,712 · 1,054,528 · 1,186,344 · 1,318,160

Sums & aliquot sequence

As a sum of two squares: 110² + 346²
As consecutive integers: 8,231 + 8,232 + … + 8,246
Aliquot sequence: 131,816 115,354 59,354 31,366 15,686 11,962 5,984 7,624 6,686 3,346 2,414 1,474 974 490 536 484 447 — unresolved within range

Continued fraction of √n

√131,816 = [363; (15, 2, 4, 3, 12, 1, 8, 3, 1, 3, 181, 3, 1, 3, 8, 1, 12, 3, 4, 2, 15, 726)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand eight hundred sixteen
Ordinal
131816th
Binary
100000001011101000
Octal
401350
Hexadecimal
0x202E8
Base64
AgLo
One's complement
4,294,835,479 (32-bit)
Scientific notation
1.31816 × 10⁵
As a duration
131,816 s = 1 day, 12 hours, 36 minutes, 56 seconds
In other bases
ternary (3) 20200211002
quaternary (4) 200023220
quinary (5) 13204231
senary (6) 2454132
septenary (7) 1056206
nonary (9) 220732
undecimal (11) 90043
duodecimal (12) 64348
tridecimal (13) 47cc9
tetradecimal (14) 36076
pentadecimal (15) 290cb

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλαωιϛʹ
Mayan (base 20)
𝋰·𝋩·𝋪·𝋰
Chinese
一十三萬一千八百一十六
Chinese (financial)
壹拾參萬壹仟捌佰壹拾陸
In other modern scripts
Eastern Arabic ١٣١٨١٦ Devanagari १३१८१६ Bengali ১৩১৮১৬ Tamil ௧௩௧௮௧௬ Thai ๑๓๑๘๑๖ Tibetan ༡༣༡༨༡༦ Khmer ១៣១៨១៦ Lao ໑໓໑໘໑໖ Burmese ၁၃၁၈၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131816, here are decompositions:

  • 19 + 131797 = 131816
  • 37 + 131779 = 131816
  • 67 + 131749 = 131816
  • 73 + 131743 = 131816
  • 103 + 131713 = 131816
  • 109 + 131707 = 131816
  • 199 + 131617 = 131816
  • 337 + 131479 = 131816

Showing the first eight; more decompositions exist.

Unicode codepoint
𠋨
CJK Unified Ideograph-202E8
U+202E8
Other letter (Lo)

UTF-8 encoding: F0 A0 8B A8 (4 bytes).

Hex color
#0202E8
RGB(2, 2, 232)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.2.232.

Address
0.2.2.232
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.2.232

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 131,816 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 131816 first appears in π at position 405,232 of the decimal expansion (the 405,232ordinal-suffix:nd 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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.