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513,138

513,138 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.).

513,138 (five hundred thirteen thousand one hundred thirty-eight) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 85,523. Its proper divisors sum to 513,150, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7D472.

Abundant Number Arithmetic Number Cube-Free Happy Number Odious Number Pernicious Number Semiperfect Number Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
360
Digital root
3
Palindrome
No
Bit width
19 bits
Reversed
831,315
Square (n²)
263,310,607,044
Cube (n³)
135,114,678,277,344,072
Divisor count
8
σ(n) — sum of divisors
1,026,288
φ(n) — Euler's totient
171,044
Sum of prime factors
85,528

Primality

Prime factorization: 2 × 3 × 85523

Nearest primes: 513,137 (−1) · 513,157 (+19)

Divisors & multiples

All divisors (8)
1 · 2 · 3 · 6 · 85523 · 171046 · 256569 (half) · 513138
Aliquot sum (sum of proper divisors): 513,150
Factor pairs (a × b = 513,138)
1 × 513138
2 × 256569
3 × 171046
6 × 85523
First multiples
513,138 · 1,026,276 (double) · 1,539,414 · 2,052,552 · 2,565,690 · 3,078,828 · 3,591,966 · 4,105,104 · 4,618,242 · 5,131,380

Sums & aliquot sequence

As consecutive integers: 171,045 + 171,046 + 171,047 128,283 + 128,284 + 128,285 + 128,286 42,756 + 42,757 + … + 42,767
Aliquot sequence: 513,138 513,150 879,618 879,630 1,258,770 1,762,350 2,761,170 4,081,710 5,714,466 5,767,134 5,767,146 11,282,454 13,305,018 13,305,030 18,627,114 22,014,006 28,547,274 — unresolved within range

Continued fraction of √n

√513,138 = [716; (2, 1, 34, 3, 1, 1, 1, 1, 1, 1, 4, 7, 1, 7, 5, 1, 6, 1, 1, 4, 1, 2, 3, 1, …)]

Representations

In words
five hundred thirteen thousand one hundred thirty-eight
Ordinal
513138th
Binary
1111101010001110010
Octal
1752162
Hexadecimal
0x7D472
Base64
B9Ry
One's complement
4,294,454,157 (32-bit)
Scientific notation
5.13138 × 10⁵
As a duration
513,138 s = 5 days, 22 hours, 32 minutes, 18 seconds
In other bases
ternary (3) 222001220010
quaternary (4) 1331101302
quinary (5) 112410023
senary (6) 14555350
septenary (7) 4235013
nonary (9) 861803
undecimal (11) 32058a
duodecimal (12) 208b56
tridecimal (13) 14c742
tetradecimal (14) d500a
pentadecimal (15) a2093

As an angle

513,138° = 1,425 × 360° + 138°
138° ≈ 2.409 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵φιγρληʹ
Chinese
五十一萬三千一百三十八
Chinese (financial)
伍拾壹萬參仟壹佰參拾捌
In other modern scripts
Eastern Arabic ٥١٣١٣٨ Devanagari ५१३१३८ Bengali ৫১৩১৩৮ Tamil ௫௧௩௧௩௮ Thai ๕๑๓๑๓๘ Tibetan ༥༡༣༡༣༨ Khmer ៥១៣១៣៨ Lao ໕໑໓໑໓໘ Burmese ၅၁၃၁၃၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 513138, here are decompositions:

  • 7 + 513131 = 513138
  • 29 + 513109 = 513138
  • 37 + 513101 = 513138
  • 71 + 513067 = 513138
  • 79 + 513059 = 513138
  • 97 + 513041 = 513138
  • 107 + 513031 = 513138
  • 137 + 513001 = 513138

Showing the first eight; more decompositions exist.

Hex color
#07D472
RGB(7, 212, 114)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.212.114.

Address
0.7.212.114
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.212.114

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 513,138 and was likely granted around 1893.

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

Related reading

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