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131,306

131,306 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.).

131,306 (one hundred thirty-one thousand three hundred six) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 7 × 83 × 113. Written other ways, in hexadecimal, 0x200EA.

Arithmetic Number Cube-Free Deficient Number Evil Number Harshad / Niven Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
603,131
Square (n²)
17,241,265,636
Cube (n³)
2,263,881,625,600,616
Divisor count
16
σ(n) — sum of divisors
229,824
φ(n) — Euler's totient
55,104
Sum of prime factors
205

Primality

Prime factorization: 2 × 7 × 83 × 113

Nearest primes: 131,303 (−3) · 131,311 (+5)

Divisors & multiples

All divisors (16)
1 · 2 · 7 · 14 · 83 · 113 · 166 · 226 · 581 · 791 · 1162 · 1582 · 9379 · 18758 · 65653 (half) · 131306
Aliquot sum (sum of proper divisors): 98,518
Factor pairs (a × b = 131,306)
1 × 131306
2 × 65653
7 × 18758
14 × 9379
83 × 1582
113 × 1162
166 × 791
226 × 581
First multiples
131,306 · 262,612 (double) · 393,918 · 525,224 · 656,530 · 787,836 · 919,142 · 1,050,448 · 1,181,754 · 1,313,060

Sums & aliquot sequence

As consecutive integers: 32,825 + 32,826 + 32,827 + 32,828 18,755 + 18,756 + … + 18,761 4,676 + 4,677 + … + 4,703 1,541 + 1,542 + … + 1,623
Aliquot sequence: 131,306 98,518 76,586 39,514 22,406 13,234 8,186 4,096 4,095 4,641 3,423 1,825 469 75 49 8 7 — unresolved within range

Continued fraction of √n

√131,306 = [362; (2, 1, 3, 3, 1, 102, 1, 3, 3, 1, 2, 724)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand three hundred six
Ordinal
131306th
Binary
100000000011101010
Octal
400352
Hexadecimal
0x200EA
Base64
AgDq
One's complement
4,294,835,989 (32-bit)
Scientific notation
1.31306 × 10⁵
As a duration
131,306 s = 1 day, 12 hours, 28 minutes, 26 seconds
In other bases
ternary (3) 20200010012
quaternary (4) 200003222
quinary (5) 13200211
senary (6) 2451522
septenary (7) 1054550
nonary (9) 220105
undecimal (11) 8a71a
duodecimal (12) 63ba2
tridecimal (13) 479c6
tetradecimal (14) 35bd0
pentadecimal (15) 28d8b

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλατϛʹ
Mayan (base 20)
𝋰·𝋨·𝋥·𝋦
Chinese
一十三萬一千三百零六
Chinese (financial)
壹拾參萬壹仟參佰零陸
In other modern scripts
Eastern Arabic ١٣١٣٠٦ Devanagari १३१३०६ Bengali ১৩১৩০৬ Tamil ௧௩௧௩௦௬ Thai ๑๓๑๓๐๖ Tibetan ༡༣༡༣༠༦ Khmer ១៣១៣០៦ Lao ໑໓໑໓໐໖ Burmese ၁၃၁၃၀၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131306, here are decompositions:

  • 3 + 131303 = 131306
  • 13 + 131293 = 131306
  • 103 + 131203 = 131306
  • 157 + 131149 = 131306
  • 163 + 131143 = 131306
  • 193 + 131113 = 131306
  • 283 + 131023 = 131306
  • 337 + 130969 = 131306

Showing the first eight; more decompositions exist.

Unicode codepoint
𠃪
CJK Unified Ideograph-200Ea
U+200EA
Other letter (Lo)

UTF-8 encoding: F0 A0 83 AA (4 bytes).

Hex color
#0200EA
RGB(2, 0, 234)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.0.234.

Address
0.2.0.234
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.0.234

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 131,306 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

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