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131,456

131,456 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.).

131,456 (one hundred thirty-one thousand four hundred fifty-six) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2⁷ × 13 × 79. Its proper divisors sum to 154,144, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20180.

Abundant Number Arithmetic Number Gapful Number Odious Number Pernicious Number Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
360
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
654,131
Recamán's sequence
a(229,460) = 131,456
Square (n²)
17,280,679,936
Cube (n³)
2,271,649,061,666,816
Divisor count
32
σ(n) — sum of divisors
285,600
φ(n) — Euler's totient
59,904
Sum of prime factors
106

Primality

Prime factorization: 2 7 × 13 × 79

Nearest primes: 131,449 (−7) · 131,477 (+21)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 8 · 13 · 16 · 26 · 32 · 52 · 64 · 79 · 104 · 128 · 158 · 208 · 316 · 416 · 632 · 832 · 1027 · 1264 · 1664 · 2054 · 2528 · 4108 · 5056 · 8216 · 10112 · 16432 · 32864 · 65728 (half) · 131456
Aliquot sum (sum of proper divisors): 154,144
Factor pairs (a × b = 131,456)
1 × 131456
2 × 65728
4 × 32864
8 × 16432
13 × 10112
16 × 8216
26 × 5056
32 × 4108
52 × 2528
64 × 2054
79 × 1664
104 × 1264
128 × 1027
158 × 832
208 × 632
316 × 416
First multiples
131,456 · 262,912 (double) · 394,368 · 525,824 · 657,280 · 788,736 · 920,192 · 1,051,648 · 1,183,104 · 1,314,560

Sums & aliquot sequence

As consecutive integers: 10,106 + 10,107 + … + 10,118 1,625 + 1,626 + … + 1,703 386 + 387 + … + 641
Aliquot sequence: 131,456 154,144 149,390 119,530 95,642 63,118 46,322 31,438 20,042 12,790 10,250 9,406 4,706 2,938 1,850 1,684 1,270 — unresolved within range

Continued fraction of √n

√131,456 = [362; (1, 1, 3, 6, 1, 28, 7, 181, 7, 28, 1, 6, 3, 1, 1, 724)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand four hundred fifty-six
Ordinal
131456th
Binary
100000000110000000
Octal
400600
Hexadecimal
0x20180
Base64
AgGA
One's complement
4,294,835,839 (32-bit)
Scientific notation
1.31456 × 10⁵
As a duration
131,456 s = 1 day, 12 hours, 30 minutes, 56 seconds
In other bases
ternary (3) 20200022202
quaternary (4) 200012000
quinary (5) 13201311
senary (6) 2452332
septenary (7) 1055153
nonary (9) 220282
undecimal (11) 8a846
duodecimal (12) 640a8
tridecimal (13) 47ab0
tetradecimal (14) 35c9a
pentadecimal (15) 28e3b

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλαυνϛʹ
Mayan (base 20)
𝋰·𝋨·𝋬·𝋰
Chinese
一十三萬一千四百五十六
Chinese (financial)
壹拾參萬壹仟肆佰伍拾陸
In other modern scripts
Eastern Arabic ١٣١٤٥٦ Devanagari १३१४५६ Bengali ১৩১৪৫৬ Tamil ௧௩௧௪௫௬ Thai ๑๓๑๔๕๖ Tibetan ༡༣༡༤༥༦ Khmer ១៣១៤៥៦ Lao ໑໓໑໔໕໖ Burmese ၁၃၁၄၅၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131456, here are decompositions:

  • 7 + 131449 = 131456
  • 19 + 131437 = 131456
  • 43 + 131413 = 131456
  • 139 + 131317 = 131456
  • 163 + 131293 = 131456
  • 307 + 131149 = 131456
  • 313 + 131143 = 131456
  • 397 + 131059 = 131456

Showing the first eight; more decompositions exist.

Unicode codepoint
𠆀
CJK Unified Ideograph-20180
U+20180
Other letter (Lo)

UTF-8 encoding: F0 A0 86 80 (4 bytes).

Hex color
#020180
RGB(2, 1, 128)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.1.128.

Address
0.2.1.128
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.1.128

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 131,456 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

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