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131,404

131,404 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.).

131,404 (one hundred thirty-one thousand four hundred four) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 7 × 13 × 19². Its proper divisors sum to 167,300, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2014C.

Abundant Number Cube-Free Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
404,131
Recamán's sequence
a(229,564) = 131,404
Square (n²)
17,267,011,216
Cube (n³)
2,268,954,341,827,264
Divisor count
36
σ(n) — sum of divisors
298,704
φ(n) — Euler's totient
49,248
Sum of prime factors
62

Primality

Prime factorization: 2 2 × 7 × 13 × 19 2

Nearest primes: 131,381 (−23) · 131,413 (+9)

Divisors & multiples

All divisors (36)
1 · 2 · 4 · 7 · 13 · 14 · 19 · 26 · 28 · 38 · 52 · 76 · 91 · 133 · 182 · 247 · 266 · 361 · 364 · 494 · 532 · 722 · 988 · 1444 · 1729 · 2527 · 3458 · 4693 · 5054 · 6916 · 9386 · 10108 · 18772 · 32851 · 65702 (half) · 131404
Aliquot sum (sum of proper divisors): 167,300
Factor pairs (a × b = 131,404)
1 × 131404
2 × 65702
4 × 32851
7 × 18772
13 × 10108
14 × 9386
19 × 6916
26 × 5054
28 × 4693
38 × 3458
52 × 2527
76 × 1729
91 × 1444
133 × 988
182 × 722
247 × 532
266 × 494
361 × 364
First multiples
131,404 · 262,808 (double) · 394,212 · 525,616 · 657,020 · 788,424 · 919,828 · 1,051,232 · 1,182,636 · 1,314,040

Sums & aliquot sequence

As consecutive integers: 18,769 + 18,770 + … + 18,775 16,422 + 16,423 + … + 16,429 10,102 + 10,103 + … + 10,114 6,907 + 6,908 + … + 6,925
Aliquot sequence: 131,404 167,300 249,340 399,812 413,308 443,492 465,052 520,772 539,770 673,286 336,646 168,326 84,166 42,086 26,818 19,838 17,122 — unresolved within range

Continued fraction of √n

√131,404 = [362; (2, 80, 18, 8, 1, 8, 1, 1, 9, 7, 6, 1, 8, 1, 4, 5, 1, 5, 6, 1, 1, 5, 1, 1, …)]

Period length 54 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand four hundred four
Ordinal
131404th
Binary
100000000101001100
Octal
400514
Hexadecimal
0x2014C
Base64
AgFM
One's complement
4,294,835,891 (32-bit)
Scientific notation
1.31404 × 10⁵
As a duration
131,404 s = 1 day, 12 hours, 30 minutes, 4 seconds
In other bases
ternary (3) 20200020211
quaternary (4) 200011030
quinary (5) 13201104
senary (6) 2452204
septenary (7) 1055050
nonary (9) 220224
undecimal (11) 8a7a9
duodecimal (12) 64064
tridecimal (13) 47a70
tetradecimal (14) 35c60
pentadecimal (15) 28e04

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλαυδʹ
Mayan (base 20)
𝋰·𝋨·𝋪·𝋤
Chinese
一十三萬一千四百零四
Chinese (financial)
壹拾參萬壹仟肆佰零肆
In other modern scripts
Eastern Arabic ١٣١٤٠٤ Devanagari १३१४०४ Bengali ১৩১৪০৪ Tamil ௧௩௧௪௦௪ Thai ๑๓๑๔๐๔ Tibetan ༡༣༡༤༠༤ Khmer ១៣១៤០៤ Lao ໑໓໑໔໐໔ Burmese ၁၃၁၄၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131404, here are decompositions:

  • 23 + 131381 = 131404
  • 41 + 131363 = 131404
  • 47 + 131357 = 131404
  • 83 + 131321 = 131404
  • 101 + 131303 = 131404
  • 107 + 131297 = 131404
  • 137 + 131267 = 131404
  • 173 + 131231 = 131404

Showing the first eight; more decompositions exist.

Unicode codepoint
𠅌
CJK Unified Ideograph-2014C
U+2014C
Other letter (Lo)

UTF-8 encoding: F0 A0 85 8C (4 bytes).

Hex color
#02014C
RGB(2, 1, 76)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.1.76.

Address
0.2.1.76
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.1.76

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 131,404 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 131404 first appears in π at position 604,185 of the decimal expansion (the 604,185ordinal-suffix:th 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