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513,530

513,530 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.).

513,530 (five hundred thirteen thousand five hundred thirty) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 5 × 89 × 577. Written other ways, in hexadecimal, 0x7D5FA.

Cube-Free Deficient Number Evil Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
19 bits
Reversed
35,315
Square (n²)
263,713,060,900
Cube (n³)
135,424,568,163,977,000
Divisor count
16
σ(n) — sum of divisors
936,360
φ(n) — Euler's totient
202,752
Sum of prime factors
673

Primality

Prime factorization: 2 × 5 × 89 × 577

Nearest primes: 513,529 (−1) · 513,533 (+3)

Divisors & multiples

All divisors (16)
1 · 2 · 5 · 10 · 89 · 178 · 445 · 577 · 890 · 1154 · 2885 · 5770 · 51353 · 102706 · 256765 (half) · 513530
Aliquot sum (sum of proper divisors): 422,830
Factor pairs (a × b = 513,530)
1 × 513530
2 × 256765
5 × 102706
10 × 51353
89 × 5770
178 × 2885
445 × 1154
577 × 890
First multiples
513,530 · 1,027,060 (double) · 1,540,590 · 2,054,120 · 2,567,650 · 3,081,180 · 3,594,710 · 4,108,240 · 4,621,770 · 5,135,300

Sums & aliquot sequence

As a sum of two squares: 139² + 703² = 197² + 689² = 433² + 571² = 479² + 533²
As consecutive integers: 128,381 + 128,382 + 128,383 + 128,384 102,704 + 102,705 + 102,706 + 102,707 + 102,708 25,667 + 25,668 + … + 25,686 5,726 + 5,727 + … + 5,814
Aliquot sequence: 513,530 422,830 338,282 251,350 259,778 132,490 106,010 84,826 64,358 45,994 32,126 16,066 8,954 6,208 6,238 3,122 2,254 — unresolved within range

Continued fraction of √n

√513,530 = [716; (1, 1, 1, 1, 3, 2, 1, 2, 2, 1, 4, 1, 1, 2, 2, 3, 6, 2, 2, 8, 13, 2, 2, 19, …)]

Representations

In words
five hundred thirteen thousand five hundred thirty
Ordinal
513530th
Binary
1111101010111111010
Octal
1752772
Hexadecimal
0x7D5FA
Base64
B9X6
One's complement
4,294,453,765 (32-bit)
Scientific notation
5.1353 × 10⁵
As a duration
513,530 s = 5 days, 22 hours, 38 minutes, 50 seconds
In other bases
ternary (3) 222002102122
quaternary (4) 1331113322
quinary (5) 112413110
senary (6) 15001242
septenary (7) 4236113
nonary (9) 862378
undecimal (11) 320906
duodecimal (12) 209222
tridecimal (13) 14c984
tetradecimal (14) d520a
pentadecimal (15) a2255

As an angle

513,530° = 1,426 × 360° + 170°
170° ≈ 2.967 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆
Greek (Milesian)
͵φιγφλʹ
Chinese
五十一萬三千五百三十
Chinese (financial)
伍拾壹萬參仟伍佰參拾
In other modern scripts
Eastern Arabic ٥١٣٥٣٠ Devanagari ५१३५३० Bengali ৫১৩৫৩০ Tamil ௫௧௩௫௩௦ Thai ๕๑๓๕๓๐ Tibetan ༥༡༣༥༣༠ Khmer ៥១៣៥៣០ Lao ໕໑໓໕໓໐ Burmese ၅၁၃၅၃၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 513530, here are decompositions:

  • 19 + 513511 = 513530
  • 103 + 513427 = 513530
  • 163 + 513367 = 513530
  • 211 + 513319 = 513530
  • 223 + 513307 = 513530
  • 373 + 513157 = 513530
  • 421 + 513109 = 513530
  • 463 + 513067 = 513530

Showing the first eight; more decompositions exist.

Hex color
#07D5FA
RGB(7, 213, 250)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.213.250.

Address
0.7.213.250
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.213.250

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 513,530 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 513530 first appears in π at position 532,364 of the decimal expansion (the 532,364ordinal-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°.