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131,480

131,480 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.).

131,480 (one hundred thirty-one thousand four hundred eighty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5 × 19 × 173. Its proper divisors sum to 181,720, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20198.

Abundant Number Gapful Number Happy Number Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
84,131
Recamán's sequence
a(229,412) = 131,480
Square (n²)
17,286,990,400
Cube (n³)
2,272,893,497,792,000
Divisor count
32
σ(n) — sum of divisors
313,200
φ(n) — Euler's totient
49,536
Sum of prime factors
203

Primality

Prime factorization: 2 3 × 5 × 19 × 173

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

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 5 · 8 · 10 · 19 · 20 · 38 · 40 · 76 · 95 · 152 · 173 · 190 · 346 · 380 · 692 · 760 · 865 · 1384 · 1730 · 3287 · 3460 · 6574 · 6920 · 13148 · 16435 · 26296 · 32870 · 65740 (half) · 131480
Aliquot sum (sum of proper divisors): 181,720
Factor pairs (a × b = 131,480)
1 × 131480
2 × 65740
4 × 32870
5 × 26296
8 × 16435
10 × 13148
19 × 6920
20 × 6574
38 × 3460
40 × 3287
76 × 1730
95 × 1384
152 × 865
173 × 760
190 × 692
346 × 380
First multiples
131,480 · 262,960 (double) · 394,440 · 525,920 · 657,400 · 788,880 · 920,360 · 1,051,840 · 1,183,320 · 1,314,800

Sums & aliquot sequence

As consecutive integers: 26,294 + 26,295 + 26,296 + 26,297 + 26,298 8,210 + 8,211 + … + 8,225 6,911 + 6,912 + … + 6,929 1,604 + 1,605 + … + 1,683
Aliquot sequence: 131,480 181,720 336,680 462,520 614,600 1,022,200 1,488,800 2,147,686 1,095,914 547,960 949,640 1,187,140 1,305,896 1,156,504 1,011,956 946,924 860,924 — unresolved within range

Continued fraction of √n

√131,480 = [362; (1, 1, 1, 1, 22, 1, 3, 1, 5, 2, 4, 1, 6, 1, 4, 2, 5, 1, 3, 1, 22, 1, 1, 1, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand four hundred eighty
Ordinal
131480th
Binary
100000000110011000
Octal
400630
Hexadecimal
0x20198
Base64
AgGY
One's complement
4,294,835,815 (32-bit)
Scientific notation
1.3148 × 10⁵
As a duration
131,480 s = 1 day, 12 hours, 31 minutes, 20 seconds
In other bases
ternary (3) 20200100122
quaternary (4) 200012120
quinary (5) 13201410
senary (6) 2452412
septenary (7) 1055216
nonary (9) 220318
undecimal (11) 8a868
duodecimal (12) 64108
tridecimal (13) 47acb
tetradecimal (14) 35cb6
pentadecimal (15) 28e55

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλαυπʹ
Mayan (base 20)
𝋰·𝋨·𝋮·𝋠
Chinese
一十三萬一千四百八十
Chinese (financial)
壹拾參萬壹仟肆佰捌拾
In other modern scripts
Eastern Arabic ١٣١٤٨٠ Devanagari १३१४८० Bengali ১৩১৪৮০ Tamil ௧௩௧௪௮௦ Thai ๑๓๑๔๘๐ Tibetan ༡༣༡༤༨༠ Khmer ១៣១៤៨០ Lao ໑໓໑໔໘໐ Burmese ၁၃၁၄၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131480, here are decompositions:

  • 3 + 131477 = 131480
  • 31 + 131449 = 131480
  • 43 + 131437 = 131480
  • 67 + 131413 = 131480
  • 109 + 131371 = 131480
  • 163 + 131317 = 131480
  • 229 + 131251 = 131480
  • 277 + 131203 = 131480

Showing the first eight; more decompositions exist.

Unicode codepoint
𠆘
CJK Unified Ideograph-20198
U+20198
Other letter (Lo)

UTF-8 encoding: F0 A0 86 98 (4 bytes).

Hex color
#020198
RGB(2, 1, 152)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.1.152.

Address
0.2.1.152
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.1.152

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 131,480 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.