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131,742

131,742 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.).

131,742 (one hundred thirty-one thousand seven hundred forty-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2 × 3² × 13 × 563. Its proper divisors sum to 176,202, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2029E.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
168
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
247,131
Recamán's sequence
a(228,888) = 131,742
Square (n²)
17,355,954,564
Cube (n³)
2,286,508,166,170,488
Divisor count
24
σ(n) — sum of divisors
307,944
φ(n) — Euler's totient
40,464
Sum of prime factors
584

Primality

Prime factorization: 2 × 3 2 × 13 × 563

Nearest primes: 131,731 (−11) · 131,743 (+1)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 6 · 9 · 13 · 18 · 26 · 39 · 78 · 117 · 234 · 563 · 1126 · 1689 · 3378 · 5067 · 7319 · 10134 · 14638 · 21957 · 43914 · 65871 (half) · 131742
Aliquot sum (sum of proper divisors): 176,202
Factor pairs (a × b = 131,742)
1 × 131742
2 × 65871
3 × 43914
6 × 21957
9 × 14638
13 × 10134
18 × 7319
26 × 5067
39 × 3378
78 × 1689
117 × 1126
234 × 563
First multiples
131,742 · 263,484 (double) · 395,226 · 526,968 · 658,710 · 790,452 · 922,194 · 1,053,936 · 1,185,678 · 1,317,420

Sums & aliquot sequence

As consecutive integers: 43,913 + 43,914 + 43,915 32,934 + 32,935 + 32,936 + 32,937 14,634 + 14,635 + … + 14,642 10,973 + 10,974 + … + 10,984
Aliquot sequence: 131,742 176,202 247,158 328,842 383,688 669,897 347,383 3,297 1,759 1 0 — terminates at zero

Continued fraction of √n

√131,742 = [362; (1, 25, 1, 7, 1, 8, 13, 1, 1, 2, 2, 7, 1, 1, 3, 1, 1, 1, 51, 4, 1, 2, 1, 1, …)]

Representations

In words
one hundred thirty-one thousand seven hundred forty-two
Ordinal
131742nd
Binary
100000001010011110
Octal
401236
Hexadecimal
0x2029E
Base64
AgKe
One's complement
4,294,835,553 (32-bit)
Scientific notation
1.31742 × 10⁵
As a duration
131,742 s = 1 day, 12 hours, 35 minutes, 42 seconds
In other bases
ternary (3) 20200201100
quaternary (4) 200022132
quinary (5) 13203432
senary (6) 2453530
septenary (7) 1056042
nonary (9) 220640
undecimal (11) 8aa86
duodecimal (12) 642a6
tridecimal (13) 47c70
tetradecimal (14) 36022
pentadecimal (15) 2907c

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλαψμβʹ
Mayan (base 20)
𝋰·𝋩·𝋧·𝋢
Chinese
一十三萬一千七百四十二
Chinese (financial)
壹拾參萬壹仟柒佰肆拾貳
In other modern scripts
Eastern Arabic ١٣١٧٤٢ Devanagari १३१७४२ Bengali ১৩১৭৪২ Tamil ௧௩௧௭௪௨ Thai ๑๓๑๗๔๒ Tibetan ༡༣༡༧༤༢ Khmer ១៣១៧៤២ Lao ໑໓໑໗໔໒ Burmese ၁၃၁၇၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131742, here are decompositions:

  • 11 + 131731 = 131742
  • 29 + 131713 = 131742
  • 31 + 131711 = 131742
  • 41 + 131701 = 131742
  • 71 + 131671 = 131742
  • 101 + 131641 = 131742
  • 103 + 131639 = 131742
  • 131 + 131611 = 131742

Showing the first eight; more decompositions exist.

Unicode codepoint
𠊞
CJK Unified Ideograph-2029E
U+2029E
Other letter (Lo)

UTF-8 encoding: F0 A0 8A 9E (4 bytes).

Hex color
#02029E
RGB(2, 2, 158)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.2.158.

Address
0.2.2.158
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.2.158

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 131,742 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 131742 first appears in π at position 30,615 of the decimal expansion (the 30,615ordinal-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

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