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513,656

513,656 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.).

513,656 (five hundred thirteen thousand six hundred fifty-six) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 11 × 13 × 449. Its proper divisors sum to 620,344, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7D678.

Abundant Number Evil Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
26
Digit product
2,700
Digital root
8
Palindrome
No
Bit width
19 bits
Reversed
656,315
Square (n²)
263,842,486,336
Cube (n³)
135,524,276,161,404,416
Divisor count
32
σ(n) — sum of divisors
1,134,000
φ(n) — Euler's totient
215,040
Sum of prime factors
479

Primality

Prime factorization: 2 3 × 11 × 13 × 449

Nearest primes: 513,649 (−7) · 513,673 (+17)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 8 · 11 · 13 · 22 · 26 · 44 · 52 · 88 · 104 · 143 · 286 · 449 · 572 · 898 · 1144 · 1796 · 3592 · 4939 · 5837 · 9878 · 11674 · 19756 · 23348 · 39512 · 46696 · 64207 · 128414 · 256828 (half) · 513656
Aliquot sum (sum of proper divisors): 620,344
Factor pairs (a × b = 513,656)
1 × 513656
2 × 256828
4 × 128414
8 × 64207
11 × 46696
13 × 39512
22 × 23348
26 × 19756
44 × 11674
52 × 9878
88 × 5837
104 × 4939
143 × 3592
286 × 1796
449 × 1144
572 × 898
First multiples
513,656 · 1,027,312 (double) · 1,540,968 · 2,054,624 · 2,568,280 · 3,081,936 · 3,595,592 · 4,109,248 · 4,622,904 · 5,136,560

Sums & aliquot sequence

As consecutive integers: 46,691 + 46,692 + … + 46,701 39,506 + 39,507 + … + 39,518 32,096 + 32,097 + … + 32,111 3,521 + 3,522 + … + 3,663
Aliquot sequence: 513,656 620,344 542,816 525,916 394,444 318,324 443,724 604,596 806,156 757,924 583,976 510,994 325,214 167,266 106,478 53,242 38,054 — unresolved within range

Continued fraction of √n

√513,656 = [716; (1, 2, 3, 4, 1, 1, 1, 15, 1, 1, 1, 4, 3, 2, 1, 1432)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
five hundred thirteen thousand six hundred fifty-six
Ordinal
513656th
Binary
1111101011001111000
Octal
1753170
Hexadecimal
0x7D678
Base64
B9Z4
One's complement
4,294,453,639 (32-bit)
Scientific notation
5.13656 × 10⁵
As a duration
513,656 s = 5 days, 22 hours, 40 minutes, 56 seconds
In other bases
ternary (3) 222002121022
quaternary (4) 1331121320
quinary (5) 112414111
senary (6) 15002012
septenary (7) 4236353
nonary (9) 862538
undecimal (11) 320a10
duodecimal (12) 209308
tridecimal (13) 14ca50
tetradecimal (14) d529a
pentadecimal (15) a22db

As an angle

513,656° = 1,426 × 360° + 296°
296° ≈ 5.166 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵φιγχνϛʹ
Chinese
五十一萬三千六百五十六
Chinese (financial)
伍拾壹萬參仟陸佰伍拾陸
In other modern scripts
Eastern Arabic ٥١٣٦٥٦ Devanagari ५१३६५६ Bengali ৫১৩৬৫৬ Tamil ௫௧௩௬௫௬ Thai ๕๑๓๖๕๖ Tibetan ༥༡༣༦༥༦ Khmer ៥១៣៦៥៦ Lao ໕໑໓໖໕໖ Burmese ၅၁၃၆၅၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 513656, here are decompositions:

  • 7 + 513649 = 513656
  • 127 + 513529 = 513656
  • 229 + 513427 = 513656
  • 337 + 513319 = 513656
  • 349 + 513307 = 513656
  • 373 + 513283 = 513656
  • 379 + 513277 = 513656
  • 487 + 513169 = 513656

Showing the first eight; more decompositions exist.

Hex color
#07D678
RGB(7, 214, 120)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.214.120.

Address
0.7.214.120
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.214.120

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 513,656 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°.