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131,850

131,850 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.).

131,850 (one hundred thirty-one thousand eight hundred fifty) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2 × 3² × 5² × 293. Its proper divisors sum to 223,596, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2030A.

Abundant Number Cube-Free Gapful Number Happy Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
58,131
Recamán's sequence
a(228,672) = 131,850
Square (n²)
17,384,422,500
Cube (n³)
2,292,136,106,625,000
Divisor count
36
σ(n) — sum of divisors
355,446
φ(n) — Euler's totient
35,040
Sum of prime factors
311

Primality

Prime factorization: 2 × 3 2 × 5 2 × 293

Nearest primes: 131,849 (−1) · 131,861 (+11)

Divisors & multiples

All divisors (36)
1 · 2 · 3 · 5 · 6 · 9 · 10 · 15 · 18 · 25 · 30 · 45 · 50 · 75 · 90 · 150 · 225 · 293 · 450 · 586 · 879 · 1465 · 1758 · 2637 · 2930 · 4395 · 5274 · 7325 · 8790 · 13185 · 14650 · 21975 · 26370 · 43950 · 65925 (half) · 131850
Aliquot sum (sum of proper divisors): 223,596
Factor pairs (a × b = 131,850)
1 × 131850
2 × 65925
3 × 43950
5 × 26370
6 × 21975
9 × 14650
10 × 13185
15 × 8790
18 × 7325
25 × 5274
30 × 4395
45 × 2930
50 × 2637
75 × 1758
90 × 1465
150 × 879
225 × 586
293 × 450
First multiples
131,850 · 263,700 (double) · 395,550 · 527,400 · 659,250 · 791,100 · 922,950 · 1,054,800 · 1,186,650 · 1,318,500

Sums & aliquot sequence

As a sum of two squares: 9² + 363² = 93² + 351² = 225² + 285²
As consecutive integers: 43,949 + 43,950 + 43,951 32,961 + 32,962 + 32,963 + 32,964 26,368 + 26,369 + 26,370 + 26,371 + 26,372 14,646 + 14,647 + … + 14,654
Aliquot sequence: 131,850 223,596 341,696 374,584 428,216 374,704 417,656 444,184 452,936 473,704 635,096 850,984 744,626 372,316 372,372 831,852 1,572,004 — unresolved within range

Continued fraction of √n

√131,850 = [363; (8, 1, 27, 23, 2, 1, 1, 3, 1, 2, 3, 8, 1, 2, 80, 2, 1, 8, 3, 2, 1, 3, 1, 1, …)]

Period length 30 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand eight hundred fifty
Ordinal
131850th
Binary
100000001100001010
Octal
401412
Hexadecimal
0x2030A
Base64
AgMK
One's complement
4,294,835,445 (32-bit)
Scientific notation
1.3185 × 10⁵
As a duration
131,850 s = 1 day, 12 hours, 37 minutes, 30 seconds
In other bases
ternary (3) 20200212100
quaternary (4) 200030022
quinary (5) 13204400
senary (6) 2454230
septenary (7) 1056255
nonary (9) 220770
undecimal (11) 90074
duodecimal (12) 64376
tridecimal (13) 48024
tetradecimal (14) 3609c
pentadecimal (15) 29100

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλαωνʹ
Mayan (base 20)
𝋰·𝋩·𝋬·𝋪
Chinese
一十三萬一千八百五十
Chinese (financial)
壹拾參萬壹仟捌佰伍拾
In other modern scripts
Eastern Arabic ١٣١٨٥٠ Devanagari १३१८५० Bengali ১৩১৮৫০ Tamil ௧௩௧௮௫௦ Thai ๑๓๑๘๕๐ Tibetan ༡༣༡༨༥༠ Khmer ១៣១៨៥០ Lao ໑໓໑໘໕໐ Burmese ၁၃၁၈၅၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131850, here are decompositions:

  • 11 + 131839 = 131850
  • 13 + 131837 = 131850
  • 53 + 131797 = 131850
  • 67 + 131783 = 131850
  • 71 + 131779 = 131850
  • 73 + 131777 = 131850
  • 79 + 131771 = 131850
  • 101 + 131749 = 131850

Showing the first eight; more decompositions exist.

Unicode codepoint
𠌊
CJK Unified Ideograph-2030A
U+2030A
Other letter (Lo)

UTF-8 encoding: F0 A0 8C 8A (4 bytes).

Hex color
#02030A
RGB(2, 3, 10)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.3.10.

Address
0.2.3.10
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.3.10

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 131,850 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 131850 first appears in π at position 301,080 of the decimal expansion (the 301,080ordinal-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

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