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131,524

131,524 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.).

131,524 (one hundred thirty-one thousand five hundred twenty-four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 131 × 251. Written other ways, in hexadecimal, 0x201C4.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
16
Digit product
120
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
425,131
Recamán's sequence
a(229,324) = 131,524
Square (n²)
17,298,562,576
Cube (n³)
2,275,176,144,245,824
Divisor count
12
σ(n) — sum of divisors
232,848
φ(n) — Euler's totient
65,000
Sum of prime factors
386

Primality

Prime factorization: 2 2 × 131 × 251

Nearest primes: 131,519 (−5) · 131,543 (+19)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 131 · 251 · 262 · 502 · 524 · 1004 · 32881 · 65762 (half) · 131524
Aliquot sum (sum of proper divisors): 101,324
Factor pairs (a × b = 131,524)
1 × 131524
2 × 65762
4 × 32881
131 × 1004
251 × 524
262 × 502
First multiples
131,524 · 263,048 (double) · 394,572 · 526,096 · 657,620 · 789,144 · 920,668 · 1,052,192 · 1,183,716 · 1,315,240

Sums & aliquot sequence

As consecutive integers: 16,437 + 16,438 + … + 16,444 939 + 940 + … + 1,069 399 + 400 + … + 649
Aliquot sequence: 131,524 101,324 78,940 86,876 69,532 52,156 53,684 40,270 32,234 17,014 9,194 4,600 6,560 9,316 8,072 7,078 3,542 — unresolved within range

Continued fraction of √n

√131,524 = [362; (1, 1, 1, 25, 4, 4, 1, 13, 1, 144, 7, 1, 1, 4, 1, 1, 1, 5, 6, 2, 1, 3, 1, 28, …)]

Period length 54 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand five hundred twenty-four
Ordinal
131524th
Binary
100000000111000100
Octal
400704
Hexadecimal
0x201C4
Base64
AgHE
One's complement
4,294,835,771 (32-bit)
Scientific notation
1.31524 × 10⁵
As a duration
131,524 s = 1 day, 12 hours, 32 minutes, 4 seconds
In other bases
ternary (3) 20200102021
quaternary (4) 200013010
quinary (5) 13202044
senary (6) 2452524
septenary (7) 1055311
nonary (9) 220367
undecimal (11) 8a8a8
duodecimal (12) 64144
tridecimal (13) 47b33
tetradecimal (14) 35d08
pentadecimal (15) 28e84
Palindromic in base 11

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλαφκδʹ
Mayan (base 20)
𝋰·𝋨·𝋰·𝋤
Chinese
一十三萬一千五百二十四
Chinese (financial)
壹拾參萬壹仟伍佰貳拾肆
In other modern scripts
Eastern Arabic ١٣١٥٢٤ Devanagari १३१५२४ Bengali ১৩১৫২৪ Tamil ௧௩௧௫௨௪ Thai ๑๓๑๕๒๔ Tibetan ༡༣༡༥༢༤ Khmer ១៣១៥២៤ Lao ໑໓໑໕໒໔ Burmese ၁၃၁၅၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131524, here are decompositions:

  • 5 + 131519 = 131524
  • 17 + 131507 = 131524
  • 23 + 131501 = 131524
  • 47 + 131477 = 131524
  • 83 + 131441 = 131524
  • 167 + 131357 = 131524
  • 227 + 131297 = 131524
  • 257 + 131267 = 131524

Showing the first eight; more decompositions exist.

Unicode codepoint
𠇄
CJK Unified Ideograph-201C4
U+201C4
Other letter (Lo)

UTF-8 encoding: F0 A0 87 84 (4 bytes).

Hex color
#0201C4
RGB(2, 1, 196)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.1.196.

Address
0.2.1.196
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.1.196

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 131,524 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