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131,408

131,408 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.).

131,408 (one hundred thirty-one thousand four hundred eight) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 43 × 191. Written other ways, in hexadecimal, 0x20150.

Deficient Number Evil Number Happy Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
804,131
Recamán's sequence
a(229,556) = 131,408
Square (n²)
17,268,062,464
Cube (n³)
2,269,161,552,269,312
Divisor count
20
σ(n) — sum of divisors
261,888
φ(n) — Euler's totient
63,840
Sum of prime factors
242

Primality

Prime factorization: 2 4 × 43 × 191

Nearest primes: 131,381 (−27) · 131,413 (+5)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 16 · 43 · 86 · 172 · 191 · 344 · 382 · 688 · 764 · 1528 · 3056 · 8213 · 16426 · 32852 · 65704 (half) · 131408
Aliquot sum (sum of proper divisors): 130,480
Factor pairs (a × b = 131,408)
1 × 131408
2 × 65704
4 × 32852
8 × 16426
16 × 8213
43 × 3056
86 × 1528
172 × 764
191 × 688
344 × 382
First multiples
131,408 · 262,816 (double) · 394,224 · 525,632 · 657,040 · 788,448 · 919,856 · 1,051,264 · 1,182,672 · 1,314,080

Sums & aliquot sequence

As consecutive integers: 4,091 + 4,092 + … + 4,122 3,035 + 3,036 + … + 3,077 593 + 594 + … + 783
Aliquot sequence: 131,408 130,480 217,712 242,824 217,976 228,064 221,000 368,680 525,920 789,520 1,085,360 1,438,288 1,367,460 2,878,236 4,826,916 7,374,546 9,445,374 — unresolved within range

Continued fraction of √n

√131,408 = [362; (1, 1, 103, 13, 1, 13, 1, 6, 1, 1, 5, 1, 1, 3, 1, 2, 1, 41, 1, 10, 2, 1, 5, 2, …)]

Representations

In words
one hundred thirty-one thousand four hundred eight
Ordinal
131408th
Binary
100000000101010000
Octal
400520
Hexadecimal
0x20150
Base64
AgFQ
One's complement
4,294,835,887 (32-bit)
Scientific notation
1.31408 × 10⁵
As a duration
131,408 s = 1 day, 12 hours, 30 minutes, 8 seconds
In other bases
ternary (3) 20200020222
quaternary (4) 200011100
quinary (5) 13201113
senary (6) 2452212
septenary (7) 1055054
nonary (9) 220228
undecimal (11) 8a802
duodecimal (12) 64068
tridecimal (13) 47a74
tetradecimal (14) 35c64
pentadecimal (15) 28e08
Palindromic in base 13

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλαυηʹ
Mayan (base 20)
𝋰·𝋨·𝋪·𝋨
Chinese
一十三萬一千四百零八
Chinese (financial)
壹拾參萬壹仟肆佰零捌
In other modern scripts
Eastern Arabic ١٣١٤٠٨ Devanagari १३१४०८ Bengali ১৩১৪০৮ Tamil ௧௩௧௪௦௮ Thai ๑๓๑๔๐๘ Tibetan ༡༣༡༤༠༨ Khmer ១៣១៤០៨ Lao ໑໓໑໔໐໘ Burmese ၁၃၁၄၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131408, here are decompositions:

  • 37 + 131371 = 131408
  • 97 + 131311 = 131408
  • 157 + 131251 = 131408
  • 307 + 131101 = 131408
  • 337 + 131071 = 131408
  • 349 + 131059 = 131408
  • 367 + 131041 = 131408
  • 397 + 131011 = 131408

Showing the first eight; more decompositions exist.

Unicode codepoint
𠅐
CJK Unified Ideograph-20150
U+20150
Other letter (Lo)

UTF-8 encoding: F0 A0 85 90 (4 bytes).

Hex color
#020150
RGB(2, 1, 80)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.1.80.

Address
0.2.1.80
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.1.80

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 131,408 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 131408 first appears in π at position 434,551 of the decimal expansion (the 434,551ordinal-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

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