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131,898

131,898 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.).

131,898 (one hundred thirty-one thousand eight hundred ninety-eight) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 13 × 19 × 89. Its proper divisors sum to 170,502, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2033A.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
30
Digit product
1,728
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
898,131
Recamán's sequence
a(228,576) = 131,898
Square (n²)
17,397,082,404
Cube (n³)
2,294,640,374,922,792
Divisor count
32
σ(n) — sum of divisors
302,400
φ(n) — Euler's totient
38,016
Sum of prime factors
126

Primality

Prime factorization: 2 × 3 × 13 × 19 × 89

Nearest primes: 131,893 (−5) · 131,899 (+1)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 6 · 13 · 19 · 26 · 38 · 39 · 57 · 78 · 89 · 114 · 178 · 247 · 267 · 494 · 534 · 741 · 1157 · 1482 · 1691 · 2314 · 3382 · 3471 · 5073 · 6942 · 10146 · 21983 · 43966 · 65949 (half) · 131898
Aliquot sum (sum of proper divisors): 170,502
Factor pairs (a × b = 131,898)
1 × 131898
2 × 65949
3 × 43966
6 × 21983
13 × 10146
19 × 6942
26 × 5073
38 × 3471
39 × 3382
57 × 2314
78 × 1691
89 × 1482
114 × 1157
178 × 741
247 × 534
267 × 494
First multiples
131,898 · 263,796 (double) · 395,694 · 527,592 · 659,490 · 791,388 · 923,286 · 1,055,184 · 1,187,082 · 1,318,980

Sums & aliquot sequence

As consecutive integers: 43,965 + 43,966 + 43,967 32,973 + 32,974 + 32,975 + 32,976 10,986 + 10,987 + … + 10,997 10,140 + 10,141 + … + 10,152
Aliquot sequence: 131,898 170,502 174,570 303,222 310,650 507,750 761,466 772,134 912,666 912,678 1,053,258 1,053,270 1,849,770 3,956,310 6,594,570 10,927,350 22,634,490 — unresolved within range

Continued fraction of √n

√131,898 = [363; (5, 1, 1, 1, 2, 3, 3, 1, 2, 16, 1, 13, 1, 7, 2, 2, 2, 7, 1, 13, 1, 16, 2, 1, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand eight hundred ninety-eight
Ordinal
131898th
Binary
100000001100111010
Octal
401472
Hexadecimal
0x2033A
Base64
AgM6
One's complement
4,294,835,397 (32-bit)
Scientific notation
1.31898 × 10⁵
As a duration
131,898 s = 1 day, 12 hours, 38 minutes, 18 seconds
In other bases
ternary (3) 20200221010
quaternary (4) 200030322
quinary (5) 13210043
senary (6) 2454350
septenary (7) 1056354
nonary (9) 220833
undecimal (11) 90108
duodecimal (12) 643b6
tridecimal (13) 48060
tetradecimal (14) 360d4
pentadecimal (15) 29133

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλαωϟηʹ
Mayan (base 20)
𝋰·𝋩·𝋮·𝋲
Chinese
一十三萬一千八百九十八
Chinese (financial)
壹拾參萬壹仟捌佰玖拾捌
In other modern scripts
Eastern Arabic ١٣١٨٩٨ Devanagari १३१८९८ Bengali ১৩১৮৯৮ Tamil ௧௩௧௮௯௮ Thai ๑๓๑๘๙๘ Tibetan ༡༣༡༨༩༨ Khmer ១៣១៨៩៨ Lao ໑໓໑໘໙໘ Burmese ၁၃၁၈၉၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131898, here are decompositions:

  • 5 + 131893 = 131898
  • 7 + 131891 = 131898
  • 37 + 131861 = 131898
  • 59 + 131839 = 131898
  • 61 + 131837 = 131898
  • 101 + 131797 = 131898
  • 127 + 131771 = 131898
  • 139 + 131759 = 131898

Showing the first eight; more decompositions exist.

Unicode codepoint
𠌺
CJK Unified Ideograph-2033A
U+2033A
Other letter (Lo)

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

Hex color
#02033A
RGB(2, 3, 58)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.3.58.

Address
0.2.3.58
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.3.58

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 131,898 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 131898 first appears in π at position 327,221 of the decimal expansion (the 327,221ordinal-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

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