Live analysis

131,772

131,772 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.).

131,772 (one hundred thirty-one thousand seven hundred seventy-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 79 × 139. Its proper divisors sum to 181,828, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x202BC.

Abundant Number Cube-Free Gapful Number Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

131,760 131,761 131,762 131,763 131,764 131,765 131,766 131,767 131,768 131,769 131,770 131,771 131,772 131,773 131,774 131,775 131,776 131,777 131,778 131,779 131,780 131,781 131,782 131,783 131,784

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 21
Digit product: 294
Digital root: 3
Palindrome: No
Bit width: 18 bits
Reversed: 277,131
Recamán's sequence: a(228,828) = 131,772
Square (n²): 17,363,859,984
Cube (n³): 2,288,070,557,811,648
Divisor count: 24
σ(n) — sum of divisors: 313,600
φ(n) — Euler's totient: 43,056
Sum of prime factors: 225

Primality

Prime factorization: 2 ² × 3 × 79 × 139

Nearest primes: 131,771 (−1) · 131,777 (+5)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 12 · 79 · 139 · 158 · 237 · 278 · 316 · 417 · 474 · 556 · 834 · 948 · 1668 · 10981 · 21962 · 32943 · 43924 · 65886 (half) · 131772

Aliquot sum (sum of proper divisors): 181,828

Factor pairs (a × b = 131,772)

1 × 131772

2 × 65886

3 × 43924

4 × 32943

6 × 21962

12 × 10981

79 × 1668

139 × 948

158 × 834

237 × 556

278 × 474

316 × 417

First multiples

131,772 · 263,544 (double) · 395,316 · 527,088 · 658,860 · 790,632 · 922,404 · 1,054,176 · 1,185,948 · 1,317,720

Sums & aliquot sequence

As consecutive integers: 43,923 + 43,924 + 43,925 16,468 + 16,469 + … + 16,475 5,479 + 5,480 + … + 5,502 1,629 + 1,630 + … + 1,707

Aliquot sequence: 131,772 → 181,828 → 139,724 → 123,700 → 144,946 → 83,996 → 85,348 → 72,012 → 106,404 → 141,900 → 316,404 → 627,084 → 958,136 → 849,664 → 846,856 → 784,484 → 648,220 — unresolved within range

Continued fraction of √n

√131,772 = [363; (242, 726)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: one hundred thirty-one thousand seven hundred seventy-two
Ordinal: 131772nd
Binary: 100000001010111100
Octal: 401274
Hexadecimal: 0x202BC
Base64: AgK8
One's complement: 4,294,835,523 (32-bit)
Scientific notation: 1.31772 × 10⁵
As a duration: 131,772 s = 1 day, 12 hours, 36 minutes, 12 seconds

In other bases

ternary (3) 20200202110

quaternary (4) 200022330

quinary (5) 13204042

senary (6) 2454020

septenary (7) 1056114

nonary (9) 220673

undecimal (11) 90003

duodecimal (12) 64310

tridecimal (13) 47c94

tetradecimal (14) 36044

pentadecimal (15) 2909c

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ρλαψοβʹ
Mayan (base 20): 𝋰·𝋩·𝋨·𝋬
Chinese: 一十三萬一千七百七十二
Chinese (financial): 壹拾參萬壹仟柒佰柒拾貳

In other modern scripts

Eastern Arabic ١٣١٧٧٢ Devanagari १३१७७२ Bengali ১৩১৭৭২ Tamil ௧௩௧௭௭௨ Thai ๑๓๑๗๗๒ Tibetan ༡༣༡༧༧༢ Khmer ១៣១៧៧២ Lao ໑໓໑໗໗໒ Burmese ၁၃၁၇၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131772, here are decompositions:

13 + 131759 = 131772
23 + 131749 = 131772
29 + 131743 = 131772
41 + 131731 = 131772
59 + 131713 = 131772
61 + 131711 = 131772
71 + 131701 = 131772
101 + 131671 = 131772

Showing the first eight; more decompositions exist.

Unicode codepoint

𠊼

CJK Unified Ideograph-202Bc

U+202BC

Other letter (Lo)

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

Lookup U+202BC on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0202BC

RGB(2, 2, 188)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.2.188.

Address: 0.2.2.188
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.2.188

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 131,772 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US131,772 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 131772 first appears in π at position 210,077 of the decimal expansion (the 210,077ordinal-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.

Look up 131772 on Pi Search ↗