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131,537

131,537 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.).

131,537 (one hundred thirty-one thousand five hundred thirty-seven) is an odd 6-digit number. It is a composite number with 16 divisors, and factors as 7 × 19 × 23 × 43. Written other ways, in hexadecimal, 0x201D1.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
315
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
735,131
Recamán's sequence
a(229,298) = 131,537
Square (n²)
17,301,982,369
Cube (n³)
2,275,850,854,871,153
Divisor count
16
σ(n) — sum of divisors
168,960
φ(n) — Euler's totient
99,792
Sum of prime factors
92

Primality

Prime factorization: 7 × 19 × 23 × 43

Nearest primes: 131,519 (−18) · 131,543 (+6)

Divisors & multiples

All divisors (16)
1 · 7 · 19 · 23 · 43 · 133 · 161 · 301 · 437 · 817 · 989 · 3059 · 5719 · 6923 · 18791 · 131537
Aliquot sum (sum of proper divisors): 37,423
Factor pairs (a × b = 131,537)
1 × 131537
7 × 18791
19 × 6923
23 × 5719
43 × 3059
133 × 989
161 × 817
301 × 437
First multiples
131,537 · 263,074 (double) · 394,611 · 526,148 · 657,685 · 789,222 · 920,759 · 1,052,296 · 1,183,833 · 1,315,370

Sums & aliquot sequence

As consecutive integers: 65,768 + 65,769 18,788 + 18,789 + … + 18,794 9,389 + 9,390 + … + 9,402 6,914 + 6,915 + … + 6,932
Aliquot sequence: 131,537 37,423 1 0 — terminates at zero

Continued fraction of √n

√131,537 = [362; (1, 2, 7, 1, 4, 2, 4, 1, 7, 2, 1, 724)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand five hundred thirty-seven
Ordinal
131537th
Binary
100000000111010001
Octal
400721
Hexadecimal
0x201D1
Base64
AgHR
One's complement
4,294,835,758 (32-bit)
Scientific notation
1.31537 × 10⁵
As a duration
131,537 s = 1 day, 12 hours, 32 minutes, 17 seconds
In other bases
ternary (3) 20200102202
quaternary (4) 200013101
quinary (5) 13202122
senary (6) 2452545
septenary (7) 1055330
nonary (9) 220382
undecimal (11) 8a90a
duodecimal (12) 64155
tridecimal (13) 47b43
tetradecimal (14) 35d17
pentadecimal (15) 28e92

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλαφλζʹ
Mayan (base 20)
𝋰·𝋨·𝋰·𝋱
Chinese
一十三萬一千五百三十七
Chinese (financial)
壹拾參萬壹仟伍佰參拾柒
In other modern scripts
Eastern Arabic ١٣١٥٣٧ Devanagari १३१५३७ Bengali ১৩১৫৩৭ Tamil ௧௩௧௫௩௭ Thai ๑๓๑๕๓๗ Tibetan ༡༣༡༥༣༧ Khmer ១៣១៥៣៧ Lao ໑໓໑໕໓໗ Burmese ၁၃၁၅၃၇

Also seen as

Unicode codepoint
𠇑
CJK Unified Ideograph-201D1
U+201D1
Other letter (Lo)

UTF-8 encoding: F0 A0 87 91 (4 bytes).

Hex color
#0201D1
RGB(2, 1, 209)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.1.209.

Address
0.2.1.209
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.1.209

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 131,537 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 131537 first appears in π at position 328,414 of the decimal expansion (the 328,414ordinal-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.