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513,430

513,430 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.).

513,430 (five hundred thirteen thousand four hundred thirty) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 5 × 51,343. Written other ways, in hexadecimal, 0x7D596.

Arithmetic Number Cube-Free Deficient Number Evil Number Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
19 bits
Reversed
34,315
Square (n²)
263,610,364,900
Cube (n³)
135,345,469,650,607,000
Divisor count
8
σ(n) — sum of divisors
924,192
φ(n) — Euler's totient
205,368
Sum of prime factors
51,350

Primality

Prime factorization: 2 × 5 × 51343

Nearest primes: 513,427 (−3) · 513,431 (+1)

Divisors & multiples

All divisors (8)
1 · 2 · 5 · 10 · 51343 · 102686 · 256715 (half) · 513430
Aliquot sum (sum of proper divisors): 410,762
Factor pairs (a × b = 513,430)
1 × 513430
2 × 256715
5 × 102686
10 × 51343
First multiples
513,430 · 1,026,860 (double) · 1,540,290 · 2,053,720 · 2,567,150 · 3,080,580 · 3,594,010 · 4,107,440 · 4,620,870 · 5,134,300

Sums & aliquot sequence

As consecutive integers: 128,356 + 128,357 + 128,358 + 128,359 102,684 + 102,685 + 102,686 + 102,687 + 102,688 25,662 + 25,663 + … + 25,681
Aliquot sequence: 513,430 410,762 261,430 245,594 160,486 88,634 75,334 53,834 34,294 21,146 11,194 6,266 3,898 1,952 1,954 980 1,414 — unresolved within range

Continued fraction of √n

√513,430 = [716; (1, 1, 5, 1, 2, 2, 1, 2, 20, 2, 1, 1, 45, 1, 1, 1, 2, 2, 1, 1, 4, 47, 1, 1, …)]

Representations

In words
five hundred thirteen thousand four hundred thirty
Ordinal
513430th
Binary
1111101010110010110
Octal
1752626
Hexadecimal
0x7D596
Base64
B9WW
One's complement
4,294,453,865 (32-bit)
Scientific notation
5.1343 × 10⁵
As a duration
513,430 s = 5 days, 22 hours, 37 minutes, 10 seconds
In other bases
ternary (3) 222002021221
quaternary (4) 1331112112
quinary (5) 112412210
senary (6) 15000554
septenary (7) 4235611
nonary (9) 862257
undecimal (11) 320825
duodecimal (12) 20915a
tridecimal (13) 14c908
tetradecimal (14) d5178
pentadecimal (15) a21da

As an angle

513,430° = 1,426 × 360° + 70°
70° ≈ 1.222 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆
Greek (Milesian)
͵φιγυλʹ
Chinese
五十一萬三千四百三十
Chinese (financial)
伍拾壹萬參仟肆佰參拾
In other modern scripts
Eastern Arabic ٥١٣٤٣٠ Devanagari ५१३४३० Bengali ৫১৩৪৩০ Tamil ௫௧௩௪௩௦ Thai ๕๑๓๔๓๐ Tibetan ༥༡༣༤༣༠ Khmer ៥១៣៤៣០ Lao ໕໑໓໔໓໐ Burmese ၅၁၃၄၃၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 513430, here are decompositions:

  • 3 + 513427 = 513430
  • 11 + 513419 = 513430
  • 23 + 513407 = 513430
  • 59 + 513371 = 513430
  • 83 + 513347 = 513430
  • 89 + 513341 = 513430
  • 173 + 513257 = 513430
  • 191 + 513239 = 513430

Showing the first eight; more decompositions exist.

Hex color
#07D596
RGB(7, 213, 150)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.213.150.

Address
0.7.213.150
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.213.150

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 513,430 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 513430 first appears in π at position 225,602 of the decimal expansion (the 225,602ordinal-suffix:nd 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°.