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131,572

131,572 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.).

131,572 (one hundred thirty-one thousand five hundred seventy-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 7 × 37 × 127. Its proper divisors sum to 140,812, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x201F4.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
210
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
275,131
Recamán's sequence
a(229,228) = 131,572
Square (n²)
17,311,191,184
Cube (n³)
2,277,668,046,461,248
Divisor count
24
σ(n) — sum of divisors
272,384
φ(n) — Euler's totient
54,432
Sum of prime factors
175

Primality

Prime factorization: 2 2 × 7 × 37 × 127

Nearest primes: 131,561 (−11) · 131,581 (+9)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 7 · 14 · 28 · 37 · 74 · 127 · 148 · 254 · 259 · 508 · 518 · 889 · 1036 · 1778 · 3556 · 4699 · 9398 · 18796 · 32893 · 65786 (half) · 131572
Aliquot sum (sum of proper divisors): 140,812
Factor pairs (a × b = 131,572)
1 × 131572
2 × 65786
4 × 32893
7 × 18796
14 × 9398
28 × 4699
37 × 3556
74 × 1778
127 × 1036
148 × 889
254 × 518
259 × 508
First multiples
131,572 · 263,144 (double) · 394,716 · 526,288 · 657,860 · 789,432 · 921,004 · 1,052,576 · 1,184,148 · 1,315,720

Sums & aliquot sequence

As consecutive integers: 18,793 + 18,794 + … + 18,799 16,443 + 16,444 + … + 16,450 3,538 + 3,539 + … + 3,574 2,322 + 2,323 + … + 2,377
Aliquot sequence: 131,572 140,812 149,492 166,348 192,724 192,780 539,028 1,181,292 2,112,684 3,623,340 7,972,692 15,547,308 27,180,804 45,301,564 53,538,884 60,069,436 60,069,492 — unresolved within range

Continued fraction of √n

√131,572 = [362; (1, 2, 1, 2, 6, 8, 1, 3, 1, 44, 1, 1, 4, 1, 102, 1, 4, 1, 1, 44, 1, 3, 1, 8, …)]

Period length 30 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand five hundred seventy-two
Ordinal
131572nd
Binary
100000000111110100
Octal
400764
Hexadecimal
0x201F4
Base64
AgH0
One's complement
4,294,835,723 (32-bit)
Scientific notation
1.31572 × 10⁵
As a duration
131,572 s = 1 day, 12 hours, 32 minutes, 52 seconds
In other bases
ternary (3) 20200111001
quaternary (4) 200013310
quinary (5) 13202242
senary (6) 2453044
septenary (7) 1055410
nonary (9) 220431
undecimal (11) 8a941
duodecimal (12) 64184
tridecimal (13) 47b6c
tetradecimal (14) 35d40
pentadecimal (15) 28eb7

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλαφοβʹ
Mayan (base 20)
𝋰·𝋨·𝋲·𝋬
Chinese
一十三萬一千五百七十二
Chinese (financial)
壹拾參萬壹仟伍佰柒拾貳
In other modern scripts
Eastern Arabic ١٣١٥٧٢ Devanagari १३१५७२ Bengali ১৩১৫৭২ Tamil ௧௩௧௫௭௨ Thai ๑๓๑๕๗๒ Tibetan ༡༣༡༥༧༢ Khmer ១៣១៥៧២ Lao ໑໓໑໕໗໒ Burmese ၁၃၁၅၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131572, here are decompositions:

  • 11 + 131561 = 131572
  • 29 + 131543 = 131572
  • 53 + 131519 = 131572
  • 71 + 131501 = 131572
  • 83 + 131489 = 131572
  • 131 + 131441 = 131572
  • 191 + 131381 = 131572
  • 251 + 131321 = 131572

Showing the first eight; more decompositions exist.

Unicode codepoint
𠇴
CJK Unified Ideograph-201F4
U+201F4
Other letter (Lo)

UTF-8 encoding: F0 A0 87 B4 (4 bytes).

Hex color
#0201F4
RGB(2, 1, 244)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.1.244.

Address
0.2.1.244
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.1.244

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 131,572 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