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513,328

513,328 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.).

513,328 (five hundred thirteen thousand three hundred twenty-eight) is an even 6-digit number. It is a composite number with 10 divisors, and factors as 2⁴ × 32,083. Written other ways, in hexadecimal, 0x7D530.

Deficient Number Evil Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
720
Digital root
4
Palindrome
No
Bit width
19 bits
Reversed
823,315
Square (n²)
263,505,635,584
Cube (n³)
135,264,820,903,063,552
Divisor count
10
σ(n) — sum of divisors
994,604
φ(n) — Euler's totient
256,656
Sum of prime factors
32,091

Primality

Prime factorization: 2 4 × 32083

Nearest primes: 513,319 (−9) · 513,341 (+13)

Divisors & multiples

All divisors (10)
1 · 2 · 4 · 8 · 16 · 32083 · 64166 · 128332 · 256664 (half) · 513328
Aliquot sum (sum of proper divisors): 481,276
Factor pairs (a × b = 513,328)
1 × 513328
2 × 256664
4 × 128332
8 × 64166
16 × 32083
First multiples
513,328 · 1,026,656 (double) · 1,539,984 · 2,053,312 · 2,566,640 · 3,079,968 · 3,593,296 · 4,106,624 · 4,619,952 · 5,133,280

Sums & aliquot sequence

As consecutive integers: 16,026 + 16,027 + … + 16,057
Aliquot sequence: 513,328 481,276 360,964 316,412 237,316 183,804 280,380 504,852 673,164 1,154,676 1,539,596 1,173,604 892,824 1,339,296 2,680,608 5,363,232 11,474,400 — unresolved within range

Continued fraction of √n

√513,328 = [716; (2, 7, 1, 1, 2, 9, 3, 2, 16, 25, 12, 1, 3, 14, 1, 2, 22, 2, 2, 8, 1, 26, 1, 1, …)]

Representations

In words
five hundred thirteen thousand three hundred twenty-eight
Ordinal
513328th
Binary
1111101010100110000
Octal
1752460
Hexadecimal
0x7D530
Base64
B9Uw
One's complement
4,294,453,967 (32-bit)
Scientific notation
5.13328 × 10⁵
As a duration
513,328 s = 5 days, 22 hours, 35 minutes, 28 seconds
In other bases
ternary (3) 222002011011
quaternary (4) 1331110300
quinary (5) 112411303
senary (6) 15000304
septenary (7) 4235404
nonary (9) 862134
undecimal (11) 320742
duodecimal (12) 209094
tridecimal (13) 14c85a
tetradecimal (14) d5104
pentadecimal (15) a216d

As an angle

513,328° = 1,425 × 360° + 328°
328° ≈ 5.725 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵φιγτκηʹ
Chinese
五十一萬三千三百二十八
Chinese (financial)
伍拾壹萬參仟參佰貳拾捌
In other modern scripts
Eastern Arabic ٥١٣٣٢٨ Devanagari ५१३३२८ Bengali ৫১৩৩২৮ Tamil ௫௧௩௩௨௮ Thai ๕๑๓๓๒๘ Tibetan ༥༡༣༣༢༨ Khmer ៥១៣៣២៨ Lao ໕໑໓໓໒໘ Burmese ၅၁၃၃၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 513328, here are decompositions:

  • 17 + 513311 = 513328
  • 59 + 513269 = 513328
  • 71 + 513257 = 513328
  • 89 + 513239 = 513328
  • 191 + 513137 = 513328
  • 197 + 513131 = 513328
  • 227 + 513101 = 513328
  • 269 + 513059 = 513328

Showing the first eight; more decompositions exist.

Hex color
#07D530
RGB(7, 213, 48)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.213.48.

Address
0.7.213.48
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.213.48

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 513,328 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 513328 first appears in π at position 988,206 of the decimal expansion (the 988,206ordinal-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°.