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131,535

131,535 is a composite number, odd.

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.).

131,535 (one hundred thirty-one thousand five hundred thirty-five) is an odd 6-digit number. It is a composite number with 24 divisors, and factors as 3² × 5 × 37 × 79. Written other ways, in hexadecimal, 0x201CF.

Arithmetic Number Cube-Free Deficient Number Evil Number Gapful Number Happy Number Recamán's Sequence

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
18
Digit product
225
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
535,131
Recamán's sequence
a(229,302) = 131,535
Square (n²)
17,301,456,225
Cube (n³)
2,275,747,044,555,375
Divisor count
24
σ(n) — sum of divisors
237,120
φ(n) — Euler's totient
67,392
Sum of prime factors
127

Primality

Prime factorization: 3 2 × 5 × 37 × 79

Nearest primes: 131,519 (−16) · 131,543 (+8)

Divisors & multiples

All divisors (24)
1 · 3 · 5 · 9 · 15 · 37 · 45 · 79 · 111 · 185 · 237 · 333 · 395 · 555 · 711 · 1185 · 1665 · 2923 · 3555 · 8769 · 14615 · 26307 · 43845 · 131535
Aliquot sum (sum of proper divisors): 105,585
Factor pairs (a × b = 131,535)
1 × 131535
3 × 43845
5 × 26307
9 × 14615
15 × 8769
37 × 3555
45 × 2923
79 × 1665
111 × 1185
185 × 711
237 × 555
333 × 395
First multiples
131,535 · 263,070 (double) · 394,605 · 526,140 · 657,675 · 789,210 · 920,745 · 1,052,280 · 1,183,815 · 1,315,350

Sums & aliquot sequence

As consecutive integers: 65,767 + 65,768 43,844 + 43,845 + 43,846 26,305 + 26,306 + 26,307 + 26,308 + 26,309 21,920 + 21,921 + 21,922 + 21,923 + 21,924 + 21,925
Aliquot sequence: 131,535 105,585 63,375 50,817 22,207 473 55 17 1 0 — terminates at zero

Continued fraction of √n

√131,535 = [362; (1, 2, 9, 1, 7, 1, 1, 7, 1, 1, 7, 1, 9, 2, 1, 724)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand five hundred thirty-five
Ordinal
131535th
Binary
100000000111001111
Octal
400717
Hexadecimal
0x201CF
Base64
AgHP
One's complement
4,294,835,760 (32-bit)
Scientific notation
1.31535 × 10⁵
As a duration
131,535 s = 1 day, 12 hours, 32 minutes, 15 seconds
In other bases
ternary (3) 20200102200
quaternary (4) 200013033
quinary (5) 13202120
senary (6) 2452543
septenary (7) 1055325
nonary (9) 220380
undecimal (11) 8a908
duodecimal (12) 64153
tridecimal (13) 47b41
tetradecimal (14) 35d15
pentadecimal (15) 28e90

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλαφλεʹ
Mayan (base 20)
𝋰·𝋨·𝋰·𝋯
Chinese
一十三萬一千五百三十五
Chinese (financial)
壹拾參萬壹仟伍佰參拾伍
In other modern scripts
Eastern Arabic ١٣١٥٣٥ Devanagari १३१५३५ Bengali ১৩১৫৩৫ Tamil ௧௩௧௫௩௫ Thai ๑๓๑๕๓๕ Tibetan ༡༣༡༥༣༥ Khmer ១៣១៥៣៥ Lao ໑໓໑໕໓໕ Burmese ၁၃၁၅၃၅

Also seen as

Unicode codepoint
𠇏
CJK Unified Ideograph-201Cf
U+201CF
Other letter (Lo)

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

Hex color
#0201CF
RGB(2, 1, 207)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.1.207.

Address
0.2.1.207
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.1.207

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 131,535 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 131535 first appears in π at position 5,981 of the decimal expansion (the 5,981ordinal-suffix:st 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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.