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513,402

513,402 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.).

513,402 (five hundred thirteen thousand four hundred two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 41 × 2,087. Its proper divisors sum to 538,950, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7D57A.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
19 bits
Reversed
204,315
Square (n²)
263,581,613,604
Cube (n³)
135,323,327,587,520,808
Divisor count
16
σ(n) — sum of divisors
1,052,352
φ(n) — Euler's totient
166,880
Sum of prime factors
2,133

Primality

Prime factorization: 2 × 3 × 41 × 2087

Nearest primes: 513,397 (−5) · 513,407 (+5)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 41 · 82 · 123 · 246 · 2087 · 4174 · 6261 · 12522 · 85567 · 171134 · 256701 (half) · 513402
Aliquot sum (sum of proper divisors): 538,950
Factor pairs (a × b = 513,402)
1 × 513402
2 × 256701
3 × 171134
6 × 85567
41 × 12522
82 × 6261
123 × 4174
246 × 2087
First multiples
513,402 · 1,026,804 (double) · 1,540,206 · 2,053,608 · 2,567,010 · 3,080,412 · 3,593,814 · 4,107,216 · 4,620,618 · 5,134,020

Sums & aliquot sequence

As consecutive integers: 171,133 + 171,134 + 171,135 128,349 + 128,350 + 128,351 + 128,352 42,778 + 42,779 + … + 42,789 12,502 + 12,503 + … + 12,542
Aliquot sequence: 513,402 538,950 798,018 932,430 1,305,474 1,305,486 2,180,178 4,214,574 7,526,610 16,584,750 40,705,938 67,847,598 117,731,922 175,834,542 215,108,178 215,108,190 461,714,850 — unresolved within range

Continued fraction of √n

√513,402 = [716; (1, 1, 11, 1, 1, 5, 2, 2, 1, 5, 1, 2, 1, 1, 18, 1, 3, 1, 3, 1, 1, 3, 1, 4, …)]

Representations

In words
five hundred thirteen thousand four hundred two
Ordinal
513402nd
Binary
1111101010101111010
Octal
1752572
Hexadecimal
0x7D57A
Base64
B9V6
One's complement
4,294,453,893 (32-bit)
Scientific notation
5.13402 × 10⁵
As a duration
513,402 s = 5 days, 22 hours, 36 minutes, 42 seconds
In other bases
ternary (3) 222002020220
quaternary (4) 1331111322
quinary (5) 112412102
senary (6) 15000510
septenary (7) 4235541
nonary (9) 862226
undecimal (11) 3207aa
duodecimal (12) 209136
tridecimal (13) 14c8b6
tetradecimal (14) d5158
pentadecimal (15) a21bc

As an angle

513,402° = 1,426 × 360° + 42°
42° ≈ 0.733 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓏺𓏺
Greek (Milesian)
͵φιγυβʹ
Chinese
五十一萬三千四百零二
Chinese (financial)
伍拾壹萬參仟肆佰零貳
In other modern scripts
Eastern Arabic ٥١٣٤٠٢ Devanagari ५१३४०२ Bengali ৫১৩৪০২ Tamil ௫௧௩௪௦௨ Thai ๕๑๓๔๐๒ Tibetan ༥༡༣༤༠༢ Khmer ៥១៣៤០២ Lao ໕໑໓໔໐໒ Burmese ၅၁၃၄၀၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 513402, here are decompositions:

  • 5 + 513397 = 513402
  • 31 + 513371 = 513402
  • 61 + 513341 = 513402
  • 83 + 513319 = 513402
  • 89 + 513313 = 513402
  • 163 + 513239 = 513402
  • 199 + 513203 = 513402
  • 229 + 513173 = 513402

Showing the first eight; more decompositions exist.

Hex color
#07D57A
RGB(7, 213, 122)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.213.122.

Address
0.7.213.122
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.213.122

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 513,402 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°.