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521,304

521,304 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.).

521,304 (five hundred twenty-one thousand three hundred four) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 7 × 29 × 107. Its proper divisors sum to 1,033,896, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7F458.

Abundant Number Arithmetic Number Odious Number Pernicious 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
403,125
Square (n²)
271,757,860,416
Cube (n³)
141,668,459,666,302,464
Divisor count
64
σ(n) — sum of divisors
1,555,200
φ(n) — Euler's totient
142,464
Sum of prime factors
152

Primality

Prime factorization: 2 3 × 3 × 7 × 29 × 107

Nearest primes: 521,299 (−5) · 521,309 (+5)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 12 · 14 · 21 · 24 · 28 · 29 · 42 · 56 · 58 · 84 · 87 · 107 · 116 · 168 · 174 · 203 · 214 · 232 · 321 · 348 · 406 · 428 · 609 · 642 · 696 · 749 · 812 · 856 · 1218 · 1284 · 1498 · 1624 · 2247 · 2436 · 2568 · 2996 · 3103 · 4494 · 4872 · 5992 · 6206 · 8988 · 9309 · 12412 · 17976 · 18618 · 21721 · 24824 · 37236 · 43442 · 65163 · 74472 · 86884 · 130326 · 173768 · 260652 (half) · 521304
Aliquot sum (sum of proper divisors): 1,033,896
Factor pairs (a × b = 521,304)
1 × 521304
2 × 260652
3 × 173768
4 × 130326
6 × 86884
7 × 74472
8 × 65163
12 × 43442
14 × 37236
21 × 24824
24 × 21721
28 × 18618
29 × 17976
42 × 12412
56 × 9309
58 × 8988
84 × 6206
87 × 5992
107 × 4872
116 × 4494
168 × 3103
174 × 2996
203 × 2568
214 × 2436
232 × 2247
321 × 1624
348 × 1498
406 × 1284
428 × 1218
609 × 856
642 × 812
696 × 749
First multiples
521,304 · 1,042,608 (double) · 1,563,912 · 2,085,216 · 2,606,520 · 3,127,824 · 3,649,128 · 4,170,432 · 4,691,736 · 5,213,040

Sums & aliquot sequence

As consecutive integers: 173,767 + 173,768 + 173,769 74,469 + 74,470 + … + 74,475 32,574 + 32,575 + … + 32,589 24,814 + 24,815 + … + 24,834
Aliquot sequence: 521,304 1,033,896 1,664,664 2,535,336 4,634,424 8,020,296 14,445,774 21,325,026 21,325,038 30,286,866 32,084,142 32,230,050 47,700,846 60,771,474 77,554,350 130,809,546 212,889,654 — unresolved within range

Continued fraction of √n

√521,304 = [722; (72, 4, 1, 56, 1, 24, 2, 1, 5, 1, 1, 2, 1, 1, 1, 1, 1, 2, 9, 8, 2, 3, 1, 1, …)]

Period length 58 — the block in parentheses repeats forever.

Representations

In words
five hundred twenty-one thousand three hundred four
Ordinal
521304th
Binary
1111111010001011000
Octal
1772130
Hexadecimal
0x7F458
Base64
B/RY
One's complement
4,294,445,991 (32-bit)
Scientific notation
5.21304 × 10⁵
As a duration
521,304 s = 6 days, 48 minutes, 24 seconds
In other bases
ternary (3) 222111002120
quaternary (4) 1333101120
quinary (5) 113140204
senary (6) 15101240
septenary (7) 4300560
nonary (9) 874076
undecimal (11) 326733
duodecimal (12) 211820
tridecimal (13) 153384
tetradecimal (14) d7da0
pentadecimal (15) a46d9

As an angle

521,304° = 1,448 × 360° + 24°
24° ≈ 0.419 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓆼𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵φκατδʹ
Chinese
五十二萬一千三百零四
Chinese (financial)
伍拾貳萬壹仟參佰零肆
In other modern scripts
Eastern Arabic ٥٢١٣٠٤ Devanagari ५२१३०४ Bengali ৫২১৩০৪ Tamil ௫௨௧௩௦௪ Thai ๕๒๑๓๐๔ Tibetan ༥༢༡༣༠༤ Khmer ៥២១៣០៤ Lao ໕໒໑໓໐໔ Burmese ၅၂၁၃၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 521304, here are decompositions:

  • 5 + 521299 = 521304
  • 23 + 521281 = 521304
  • 37 + 521267 = 521304
  • 53 + 521251 = 521304
  • 61 + 521243 = 521304
  • 73 + 521231 = 521304
  • 103 + 521201 = 521304
  • 127 + 521177 = 521304

Showing the first eight; more decompositions exist.

Hex color
#07F458
RGB(7, 244, 88)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.244.88.

Address
0.7.244.88
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.244.88

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 521,304 and was likely granted around 1894.

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°.