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512,304

512,304 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.).

512,304 (five hundred twelve thousand three hundred four) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 13 × 821. Its proper divisors sum to 914,688, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7D130.

Abundant Number Odious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
19 bits
Reversed
403,215
Square (n²)
262,455,388,416
Cube (n³)
134,456,945,307,070,464
Divisor count
40
σ(n) — sum of divisors
1,426,992
φ(n) — Euler's totient
157,440
Sum of prime factors
845

Primality

Prime factorization: 2 4 × 3 × 13 × 821

Nearest primes: 512,287 (−17) · 512,311 (+7)

Divisors & multiples

All divisors (40)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 13 · 16 · 24 · 26 · 39 · 48 · 52 · 78 · 104 · 156 · 208 · 312 · 624 · 821 · 1642 · 2463 · 3284 · 4926 · 6568 · 9852 · 10673 · 13136 · 19704 · 21346 · 32019 · 39408 · 42692 · 64038 · 85384 · 128076 · 170768 · 256152 (half) · 512304
Aliquot sum (sum of proper divisors): 914,688
Factor pairs (a × b = 512,304)
1 × 512304
2 × 256152
3 × 170768
4 × 128076
6 × 85384
8 × 64038
12 × 42692
13 × 39408
16 × 32019
24 × 21346
26 × 19704
39 × 13136
48 × 10673
52 × 9852
78 × 6568
104 × 4926
156 × 3284
208 × 2463
312 × 1642
624 × 821
First multiples
512,304 · 1,024,608 (double) · 1,536,912 · 2,049,216 · 2,561,520 · 3,073,824 · 3,586,128 · 4,098,432 · 4,610,736 · 5,123,040

Sums & aliquot sequence

As consecutive integers: 170,767 + 170,768 + 170,769 39,402 + 39,403 + … + 39,414 15,994 + 15,995 + … + 16,025 13,117 + 13,118 + … + 13,155
Aliquot sequence: 512,304 914,688 1,729,226 864,616 886,424 1,187,176 1,111,064 972,196 899,583 299,865 179,943 59,985 49,839 18,561 7,359 3,393 2,067 — unresolved within range

Continued fraction of √n

√512,304 = [715; (1, 3, 14, 1, 4, 1, 1, 28, 1, 2, 61, 1, 9, 4, 6, 1, 3, 2, 2, 3, 5, 1, 9, 2, …)]

Representations

In words
five hundred twelve thousand three hundred four
Ordinal
512304th
Binary
1111101000100110000
Octal
1750460
Hexadecimal
0x7D130
Base64
B9Ew
One's complement
4,294,454,991 (32-bit)
Scientific notation
5.12304 × 10⁵
As a duration
512,304 s = 5 days, 22 hours, 18 minutes, 24 seconds
In other bases
ternary (3) 222000202020
quaternary (4) 1331010300
quinary (5) 112343204
senary (6) 14551440
septenary (7) 4232412
nonary (9) 860666
undecimal (11) 31a9a1
duodecimal (12) 208580
tridecimal (13) 14c250
tetradecimal (14) d49b2
pentadecimal (15) a1bd9

As an angle

512,304° = 1,423 × 360° + 24°
24° ≈ 0.419 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵φιβτδʹ
Chinese
五十一萬二千三百零四
Chinese (financial)
伍拾壹萬貳仟參佰零肆
In other modern scripts
Eastern Arabic ٥١٢٣٠٤ Devanagari ५१२३०४ Bengali ৫১২৩০৪ Tamil ௫௧௨௩௦௪ Thai ๕๑๒๓๐๔ Tibetan ༥༡༢༣༠༤ Khmer ៥១២៣០៤ Lao ໕໑໒໓໐໔ Burmese ၅၁၂၃၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 512304, here are decompositions:

  • 17 + 512287 = 512304
  • 53 + 512251 = 512304
  • 97 + 512207 = 512304
  • 137 + 512167 = 512304
  • 157 + 512147 = 512304
  • 167 + 512137 = 512304
  • 211 + 512093 = 512304
  • 257 + 512047 = 512304

Showing the first eight; more decompositions exist.

Hex color
#07D130
RGB(7, 209, 48)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.209.48.

Address
0.7.209.48
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.209.48

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 512,304 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 512304 first appears in π at position 229,911 of the decimal expansion (the 229,911ordinal-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°.