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131,598

131,598 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.).

131,598 (one hundred thirty-one thousand five hundred ninety-eight) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3³ × 2,437. Its proper divisors sum to 160,962, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2020E.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Pernicious Number Recamán's Sequence Semiperfect Number Smith Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
1,080
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
895,131
Recamán's sequence
a(229,176) = 131,598
Square (n²)
17,318,033,604
Cube (n³)
2,279,018,586,219,192
Divisor count
16
σ(n) — sum of divisors
292,560
φ(n) — Euler's totient
43,848
Sum of prime factors
2,448

Primality

Prime factorization: 2 × 3 3 × 2437

Nearest primes: 131,591 (−7) · 131,611 (+13)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 9 · 18 · 27 · 54 · 2437 · 4874 · 7311 · 14622 · 21933 · 43866 · 65799 (half) · 131598
Aliquot sum (sum of proper divisors): 160,962
Factor pairs (a × b = 131,598)
1 × 131598
2 × 65799
3 × 43866
6 × 21933
9 × 14622
18 × 7311
27 × 4874
54 × 2437
First multiples
131,598 · 263,196 (double) · 394,794 · 526,392 · 657,990 · 789,588 · 921,186 · 1,052,784 · 1,184,382 · 1,315,980

Sums & aliquot sequence

As consecutive integers: 43,865 + 43,866 + 43,867 32,898 + 32,899 + 32,900 + 32,901 14,618 + 14,619 + … + 14,626 10,961 + 10,962 + … + 10,972
Aliquot sequence: 131,598 160,962 164,958 182,562 182,574 314,010 524,070 887,274 1,101,240 3,391,560 7,632,180 15,791,220 33,338,700 77,357,340 160,637,508 265,163,868 429,660,724 — unresolved within range

Continued fraction of √n

√131,598 = [362; (1, 3, 4, 10, 1, 1, 2, 5, 1, 3, 27, 1, 1, 1, 4, 2, 2, 3, 3, 1, 9, 26, 1, 3, …)]

Representations

In words
one hundred thirty-one thousand five hundred ninety-eight
Ordinal
131598th
Binary
100000001000001110
Octal
401016
Hexadecimal
0x2020E
Base64
AgIO
One's complement
4,294,835,697 (32-bit)
Scientific notation
1.31598 × 10⁵
As a duration
131,598 s = 1 day, 12 hours, 33 minutes, 18 seconds
In other bases
ternary (3) 20200112000
quaternary (4) 200020032
quinary (5) 13202343
senary (6) 2453130
septenary (7) 1055445
nonary (9) 220460
undecimal (11) 8a965
duodecimal (12) 641a6
tridecimal (13) 47b8c
tetradecimal (14) 35d5c
pentadecimal (15) 28ed3

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλαφϟηʹ
Mayan (base 20)
𝋰·𝋨·𝋳·𝋲
Chinese
一十三萬一千五百九十八
Chinese (financial)
壹拾參萬壹仟伍佰玖拾捌
In other modern scripts
Eastern Arabic ١٣١٥٩٨ Devanagari १३१५९८ Bengali ১৩১৫৯৮ Tamil ௧௩௧௫௯௮ Thai ๑๓๑๕๙๘ Tibetan ༡༣༡༥༩༨ Khmer ១៣១៥៩៨ Lao ໑໓໑໕໙໘ Burmese ၁၃၁၅၉၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131598, here are decompositions:

  • 7 + 131591 = 131598
  • 17 + 131581 = 131598
  • 37 + 131561 = 131598
  • 79 + 131519 = 131598
  • 97 + 131501 = 131598
  • 101 + 131497 = 131598
  • 109 + 131489 = 131598
  • 149 + 131449 = 131598

Showing the first eight; more decompositions exist.

Unicode codepoint
𠈎
CJK Unified Ideograph-2020E
U+2020E
Other letter (Lo)

UTF-8 encoding: F0 A0 88 8E (4 bytes).

Hex color
#02020E
RGB(2, 2, 14)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.2.14.

Address
0.2.2.14
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.2.14

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 131,598 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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.