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131,624

131,624 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.).

131,624 (one hundred thirty-one thousand six hundred twenty-four) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2³ × 16,453. Written other ways, in hexadecimal, 0x20228.

Deficient Number Evil Number Recamán's Sequence Refactorable Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
144
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
426,131
Recamán's sequence
a(229,124) = 131,624
Square (n²)
17,324,877,376
Cube (n³)
2,280,369,659,738,624
Divisor count
8
σ(n) — sum of divisors
246,810
φ(n) — Euler's totient
65,808
Sum of prime factors
16,459

Primality

Prime factorization: 2 3 × 16453

Nearest primes: 131,617 (−7) · 131,627 (+3)

Divisors & multiples

All divisors (8)
1 · 2 · 4 · 8 · 16453 · 32906 · 65812 (half) · 131624
Aliquot sum (sum of proper divisors): 115,186
Factor pairs (a × b = 131,624)
1 × 131624
2 × 65812
4 × 32906
8 × 16453
First multiples
131,624 · 263,248 (double) · 394,872 · 526,496 · 658,120 · 789,744 · 921,368 · 1,052,992 · 1,184,616 · 1,316,240

Sums & aliquot sequence

As a sum of two squares: 218² + 290²
As consecutive integers: 8,219 + 8,220 + … + 8,234
Aliquot sequence: 131,624 115,186 57,596 76,468 76,524 127,764 282,156 470,484 889,420 1,245,524 1,245,580 1,971,956 2,042,782 1,505,378 1,121,524 956,720 1,267,840 — unresolved within range

Continued fraction of √n

√131,624 = [362; (1, 4, 181, 4, 1, 724)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand six hundred twenty-four
Ordinal
131624th
Binary
100000001000101000
Octal
401050
Hexadecimal
0x20228
Base64
AgIo
One's complement
4,294,835,671 (32-bit)
Scientific notation
1.31624 × 10⁵
As a duration
131,624 s = 1 day, 12 hours, 33 minutes, 44 seconds
In other bases
ternary (3) 20200112222
quaternary (4) 200020220
quinary (5) 13202444
senary (6) 2453212
septenary (7) 1055513
nonary (9) 220488
undecimal (11) 8a989
duodecimal (12) 64208
tridecimal (13) 47bac
tetradecimal (14) 35d7a
pentadecimal (15) 28eee

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλαχκδʹ
Mayan (base 20)
𝋰·𝋩·𝋡·𝋤
Chinese
一十三萬一千六百二十四
Chinese (financial)
壹拾參萬壹仟陸佰貳拾肆
In other modern scripts
Eastern Arabic ١٣١٦٢٤ Devanagari १३१६२४ Bengali ১৩১৬২৪ Tamil ௧௩௧௬௨௪ Thai ๑๓๑๖๒๔ Tibetan ༡༣༡༦༢༤ Khmer ១៣១៦២៤ Lao ໑໓໑໖໒໔ Burmese ၁၃၁၆၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131624, here are decompositions:

  • 7 + 131617 = 131624
  • 13 + 131611 = 131624
  • 43 + 131581 = 131624
  • 127 + 131497 = 131624
  • 193 + 131431 = 131624
  • 211 + 131413 = 131624
  • 307 + 131317 = 131624
  • 313 + 131311 = 131624

Showing the first eight; more decompositions exist.

Unicode codepoint
𠈨
CJK Unified Ideograph-20228
U+20228
Other letter (Lo)

UTF-8 encoding: F0 A0 88 A8 (4 bytes).

Hex color
#020228
RGB(2, 2, 40)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.2.40.

Address
0.2.2.40
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.2.40

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 131,624 and was likely granted around 1872.

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

Position in π

The digit sequence 131624 first appears in π at position 106,764 of the decimal expansion (the 106,764ordinal-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.

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.