Live analysis

131,748

131,748 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.).

131,748 (one hundred thirty-one thousand seven hundred forty-eight) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 10,979. Its proper divisors sum to 175,692, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x202A4.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

131,736 131,737 131,738 131,739 131,740 131,741 131,742 131,743 131,744 131,745 131,746 131,747 131,748 131,749 131,750 131,751 131,752 131,753 131,754 131,755 131,756 131,757 131,758 131,759 131,760

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 24
Digit product: 672
Digital root: 6
Palindrome: No
Bit width: 18 bits
Reversed: 847,131
Recamán's sequence: a(228,876) = 131,748
Square (n²): 17,357,535,504
Cube (n³): 2,286,820,587,580,992
Divisor count: 12
σ(n) — sum of divisors: 307,440
φ(n) — Euler's totient: 43,912
Sum of prime factors: 10,986

Primality

Prime factorization: 2 ² × 3 × 10979

Nearest primes: 131,743 (−5) · 131,749 (+1)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 4 · 6 · 12 · 10979 · 21958 · 32937 · 43916 · 65874 (half) · 131748

Aliquot sum (sum of proper divisors): 175,692

Factor pairs (a × b = 131,748)

1 × 131748

2 × 65874

3 × 43916

4 × 32937

6 × 21958

12 × 10979

First multiples

131,748 · 263,496 (double) · 395,244 · 526,992 · 658,740 · 790,488 · 922,236 · 1,053,984 · 1,185,732 · 1,317,480

Sums & aliquot sequence

As consecutive integers: 43,915 + 43,916 + 43,917 16,465 + 16,466 + … + 16,472 5,478 + 5,479 + … + 5,501

Aliquot sequence: 131,748 → 175,692 → 275,248 → 258,076 → 298,564 → 298,620 → 776,580 → 1,767,612 → 3,377,220 → 9,396,156 → 17,940,804 → 31,023,804 → 51,706,564 → 63,071,036 → 66,904,012 → 69,293,840 → 135,282,352 — unresolved within range

Continued fraction of √n

√131,748 = [362; (1, 33, 1, 1, 3, 14, 1, 1, 7, 1, 4, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 3, 5, 1, …)]

Representations

In words: one hundred thirty-one thousand seven hundred forty-eight
Ordinal: 131748th
Binary: 100000001010100100
Octal: 401244
Hexadecimal: 0x202A4
Base64: AgKk
One's complement: 4,294,835,547 (32-bit)
Scientific notation: 1.31748 × 10⁵
As a duration: 131,748 s = 1 day, 12 hours, 35 minutes, 48 seconds

In other bases

ternary (3) 20200201120

quaternary (4) 200022210

quinary (5) 13203443

senary (6) 2453540

septenary (7) 1056051

nonary (9) 220646

undecimal (11) 8aa91

duodecimal (12) 642b0

tridecimal (13) 47c76

tetradecimal (14) 36028

pentadecimal (15) 29083

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρλαψμηʹ
Mayan (base 20): 𝋰·𝋩·𝋧·𝋨
Chinese: 一十三萬一千七百四十八
Chinese (financial): 壹拾參萬壹仟柒佰肆拾捌

In other modern scripts

Eastern Arabic ١٣١٧٤٨ Devanagari १३१७४८ Bengali ১৩১৭৪৮ Tamil ௧௩௧௭௪௮ Thai ๑๓๑๗๔๘ Tibetan ༡༣༡༧༤༨ Khmer ១៣១៧៤៨ Lao ໑໓໑໗໔໘ Burmese ၁၃၁၇၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131748, here are decompositions:

5 + 131743 = 131748
17 + 131731 = 131748
37 + 131711 = 131748
41 + 131707 = 131748
47 + 131701 = 131748
61 + 131687 = 131748
107 + 131641 = 131748
109 + 131639 = 131748

Showing the first eight; more decompositions exist.

Unicode codepoint

𠊤

CJK Unified Ideograph-202A4

U+202A4

Other letter (Lo)

UTF-8 encoding: F0 A0 8A A4 (4 bytes).

Lookup U+202A4 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0202A4

RGB(2, 2, 164)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.2.164.

Address: 0.2.2.164
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.2.164

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 131,748 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 US131,748 on Google Patents ↗ Look up on USPTO ↗