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513,338

513,338 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.).

513,338 (five hundred thirteen thousand three hundred thirty-eight) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 7 × 37 × 991. Written other ways, in hexadecimal, 0x7D53A.

Arithmetic Number Cube-Free Deficient Number Evil Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
1,080
Digital root
5
Palindrome
No
Bit width
19 bits
Reversed
833,315
Square (n²)
263,515,902,244
Cube (n³)
135,272,726,226,130,472
Divisor count
16
σ(n) — sum of divisors
904,704
φ(n) — Euler's totient
213,840
Sum of prime factors
1,037

Primality

Prime factorization: 2 × 7 × 37 × 991

Nearest primes: 513,319 (−19) · 513,341 (+3)

Divisors & multiples

All divisors (16)
1 · 2 · 7 · 14 · 37 · 74 · 259 · 518 · 991 · 1982 · 6937 · 13874 · 36667 · 73334 · 256669 (half) · 513338
Aliquot sum (sum of proper divisors): 391,366
Factor pairs (a × b = 513,338)
1 × 513338
2 × 256669
7 × 73334
14 × 36667
37 × 13874
74 × 6937
259 × 1982
518 × 991
First multiples
513,338 · 1,026,676 (double) · 1,540,014 · 2,053,352 · 2,566,690 · 3,080,028 · 3,593,366 · 4,106,704 · 4,620,042 · 5,133,380

Sums & aliquot sequence

As consecutive integers: 128,333 + 128,334 + 128,335 + 128,336 73,331 + 73,332 + … + 73,337 18,320 + 18,321 + … + 18,347 13,856 + 13,857 + … + 13,892
Aliquot sequence: 513,338 391,366 203,354 119,674 63,386 34,138 21,860 24,088 21,092 15,826 8,618 4,822 2,414 1,474 974 490 536 — unresolved within range

Continued fraction of √n

√513,338 = [716; (2, 9, 1, 23, 1, 4, 30, 3, 2, 19, 1, 3, 19, 2, 1, 1, 1, 10, 1, 1, 1, 11, 5, 2, …)]

Representations

In words
five hundred thirteen thousand three hundred thirty-eight
Ordinal
513338th
Binary
1111101010100111010
Octal
1752472
Hexadecimal
0x7D53A
Base64
B9U6
One's complement
4,294,453,957 (32-bit)
Scientific notation
5.13338 × 10⁵
As a duration
513,338 s = 5 days, 22 hours, 35 minutes, 38 seconds
In other bases
ternary (3) 222002011112
quaternary (4) 1331110322
quinary (5) 112411323
senary (6) 15000322
septenary (7) 4235420
nonary (9) 862145
undecimal (11) 320751
duodecimal (12) 2090a2
tridecimal (13) 14c867
tetradecimal (14) d5110
pentadecimal (15) a2178

As an angle

513,338° = 1,425 × 360° + 338°
338° ≈ 5.899 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵φιγτληʹ
Chinese
五十一萬三千三百三十八
Chinese (financial)
伍拾壹萬參仟參佰參拾捌
In other modern scripts
Eastern Arabic ٥١٣٣٣٨ Devanagari ५१३३३८ Bengali ৫১৩৩৩৮ Tamil ௫௧௩௩௩௮ Thai ๕๑๓๓๓๘ Tibetan ༥༡༣༣༣༨ Khmer ៥១៣៣៣៨ Lao ໕໑໓໓໓໘ Burmese ၅၁၃၃၃၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 513338, here are decompositions:

  • 19 + 513319 = 513338
  • 31 + 513307 = 513338
  • 61 + 513277 = 513338
  • 181 + 513157 = 513338
  • 229 + 513109 = 513338
  • 271 + 513067 = 513338
  • 307 + 513031 = 513338
  • 337 + 513001 = 513338

Showing the first eight; more decompositions exist.

Hex color
#07D53A
RGB(7, 213, 58)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.213.58.

Address
0.7.213.58
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.213.58

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 513,338 and was likely granted around 1893.

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

Position in π

The digit sequence 513338 first appears in π at position 7,649 of the decimal expansion (the 7,649ordinal-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°.