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131,488

131,488 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.).

131,488 (one hundred thirty-one thousand four hundred eighty-eight) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 7 × 587. Its proper divisors sum to 164,864, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x201A0.

Abundant Number Arithmetic Number Evil Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
25
Digit product
768
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
884,131
Recamán's sequence
a(229,396) = 131,488
Square (n²)
17,289,094,144
Cube (n³)
2,273,308,410,806,272
Divisor count
24
σ(n) — sum of divisors
296,352
φ(n) — Euler's totient
56,256
Sum of prime factors
604

Primality

Prime factorization: 2 5 × 7 × 587

Nearest primes: 131,479 (−9) · 131,489 (+1)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 7 · 8 · 14 · 16 · 28 · 32 · 56 · 112 · 224 · 587 · 1174 · 2348 · 4109 · 4696 · 8218 · 9392 · 16436 · 18784 · 32872 · 65744 (half) · 131488
Aliquot sum (sum of proper divisors): 164,864
Factor pairs (a × b = 131,488)
1 × 131488
2 × 65744
4 × 32872
7 × 18784
8 × 16436
14 × 9392
16 × 8218
28 × 4696
32 × 4109
56 × 2348
112 × 1174
224 × 587
First multiples
131,488 · 262,976 (double) · 394,464 · 525,952 · 657,440 · 788,928 · 920,416 · 1,051,904 · 1,183,392 · 1,314,880

Sums & aliquot sequence

As consecutive integers: 18,781 + 18,782 + … + 18,787 2,023 + 2,024 + … + 2,086 70 + 71 + … + 517
Aliquot sequence: 131,488 164,864 228,160 357,056 453,712 551,184 872,832 1,446,648 2,777,352 4,391,928 7,808,472 16,362,168 24,946,632 42,892,308 68,310,252 109,112,084 81,834,070 — unresolved within range

Continued fraction of √n

√131,488 = [362; (1, 1, 1, 1, 2, 1, 1, 5, 1, 5, 6, 1, 6, 1, 2, 3, 1, 2, 1, 79, 1, 5, 2, 19, …)]

Representations

In words
one hundred thirty-one thousand four hundred eighty-eight
Ordinal
131488th
Binary
100000000110100000
Octal
400640
Hexadecimal
0x201A0
Base64
AgGg
One's complement
4,294,835,807 (32-bit)
Scientific notation
1.31488 × 10⁵
As a duration
131,488 s = 1 day, 12 hours, 31 minutes, 28 seconds
In other bases
ternary (3) 20200100221
quaternary (4) 200012200
quinary (5) 13201423
senary (6) 2452424
septenary (7) 1055230
nonary (9) 220327
undecimal (11) 8a875
duodecimal (12) 64114
tridecimal (13) 47b06
tetradecimal (14) 35cc0
pentadecimal (15) 28e5d

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλαυπηʹ
Mayan (base 20)
𝋰·𝋨·𝋮·𝋨
Chinese
一十三萬一千四百八十八
Chinese (financial)
壹拾參萬壹仟肆佰捌拾捌
In other modern scripts
Eastern Arabic ١٣١٤٨٨ Devanagari १३१४८८ Bengali ১৩১৪৮৮ Tamil ௧௩௧௪௮௮ Thai ๑๓๑๔๘๘ Tibetan ༡༣༡༤༨༨ Khmer ១៣១៤៨៨ Lao ໑໓໑໔໘໘ Burmese ၁၃၁၄၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131488, here are decompositions:

  • 11 + 131477 = 131488
  • 41 + 131447 = 131488
  • 47 + 131441 = 131488
  • 107 + 131381 = 131488
  • 131 + 131357 = 131488
  • 167 + 131321 = 131488
  • 191 + 131297 = 131488
  • 239 + 131249 = 131488

Showing the first eight; more decompositions exist.

Unicode codepoint
𠆠
CJK Unified Ideograph-201A0
U+201A0
Other letter (Lo)

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

Hex color
#0201A0
RGB(2, 1, 160)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.1.160.

Address
0.2.1.160
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.1.160

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 131,488 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