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131,472

131,472 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.).

131,472 (one hundred thirty-one thousand four hundred seventy-two) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 3² × 11 × 83. Its proper divisors sum to 274,752, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20190.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical 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
274,131
Recamán's sequence
a(229,428) = 131,472
Square (n²)
17,284,886,784
Cube (n³)
2,272,478,635,266,048
Divisor count
60
σ(n) — sum of divisors
406,224
φ(n) — Euler's totient
39,360
Sum of prime factors
108

Primality

Prime factorization: 2 4 × 3 2 × 11 × 83

Nearest primes: 131,449 (−23) · 131,477 (+5)

Divisors & multiples

All divisors (60)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 11 · 12 · 16 · 18 · 22 · 24 · 33 · 36 · 44 · 48 · 66 · 72 · 83 · 88 · 99 · 132 · 144 · 166 · 176 · 198 · 249 · 264 · 332 · 396 · 498 · 528 · 664 · 747 · 792 · 913 · 996 · 1328 · 1494 · 1584 · 1826 · 1992 · 2739 · 2988 · 3652 · 3984 · 5478 · 5976 · 7304 · 8217 · 10956 · 11952 · 14608 · 16434 · 21912 · 32868 · 43824 · 65736 (half) · 131472
Aliquot sum (sum of proper divisors): 274,752
Factor pairs (a × b = 131,472)
1 × 131472
2 × 65736
3 × 43824
4 × 32868
6 × 21912
8 × 16434
9 × 14608
11 × 11952
12 × 10956
16 × 8217
18 × 7304
22 × 5976
24 × 5478
33 × 3984
36 × 3652
44 × 2988
48 × 2739
66 × 1992
72 × 1826
83 × 1584
88 × 1494
99 × 1328
132 × 996
144 × 913
166 × 792
176 × 747
198 × 664
249 × 528
264 × 498
332 × 396
First multiples
131,472 · 262,944 (double) · 394,416 · 525,888 · 657,360 · 788,832 · 920,304 · 1,051,776 · 1,183,248 · 1,314,720

Sums & aliquot sequence

As consecutive integers: 43,823 + 43,824 + 43,825 14,604 + 14,605 + … + 14,612 11,947 + 11,948 + … + 11,957 4,093 + 4,094 + … + 4,124
Aliquot sequence: 131,472 274,752 555,066 745,734 881,466 899,238 899,250 1,571,790 2,584,194 2,584,206 3,014,946 4,111,758 6,070,050 13,428,702 20,053,890 32,444,478 44,242,938 — unresolved within range

Continued fraction of √n

√131,472 = [362; (1, 1, 2, 3, 1, 8, 5, 1, 1, 4, 2, 1, 4, 2, 1, 1, 1, 1, 1, 2, 4, 1, 2, 4, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand four hundred seventy-two
Ordinal
131472nd
Binary
100000000110010000
Octal
400620
Hexadecimal
0x20190
Base64
AgGQ
One's complement
4,294,835,823 (32-bit)
Scientific notation
1.31472 × 10⁵
As a duration
131,472 s = 1 day, 12 hours, 31 minutes, 12 seconds
In other bases
ternary (3) 20200100100
quaternary (4) 200012100
quinary (5) 13201342
senary (6) 2452400
septenary (7) 1055205
nonary (9) 220310
undecimal (11) 8a860
duodecimal (12) 64100
tridecimal (13) 47ac3
tetradecimal (14) 35cac
pentadecimal (15) 28e4c

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλαυοβʹ
Mayan (base 20)
𝋰·𝋨·𝋭·𝋬
Chinese
一十三萬一千四百七十二
Chinese (financial)
壹拾參萬壹仟肆佰柒拾貳
In other modern scripts
Eastern Arabic ١٣١٤٧٢ Devanagari १३१४७२ Bengali ১৩১৪৭২ Tamil ௧௩௧௪௭௨ Thai ๑๓๑๔๗๒ Tibetan ༡༣༡༤༧༢ Khmer ១៣១៤៧២ Lao ໑໓໑໔໗໒ Burmese ၁၃၁၄၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131472, here are decompositions:

  • 23 + 131449 = 131472
  • 31 + 131441 = 131472
  • 41 + 131431 = 131472
  • 59 + 131413 = 131472
  • 101 + 131371 = 131472
  • 109 + 131363 = 131472
  • 151 + 131321 = 131472
  • 179 + 131293 = 131472

Showing the first eight; more decompositions exist.

Unicode codepoint
𠆐
CJK Unified Ideograph-20190
U+20190
Other letter (Lo)

UTF-8 encoding: F0 A0 86 90 (4 bytes).

Hex color
#020190
RGB(2, 1, 144)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.1.144.

Address
0.2.1.144
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.1.144

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 131,472 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°.