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508,704

508,704 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.).

508,704 (five hundred eight thousand seven hundred four) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 3 × 7 × 757. Its proper divisors sum to 1,019,424, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7C320.

Abundant Number Arithmetic Number Evil Number Harshad / Niven Practical Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
19 bits
Reversed
407,805
Square (n²)
258,779,759,616
Cube (n³)
131,642,298,835,697,664
Divisor count
48
σ(n) — sum of divisors
1,528,128
φ(n) — Euler's totient
145,152
Sum of prime factors
777

Primality

Prime factorization: 2 5 × 3 × 7 × 757

Nearest primes: 508,693 (−11) · 508,709 (+5)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 12 · 14 · 16 · 21 · 24 · 28 · 32 · 42 · 48 · 56 · 84 · 96 · 112 · 168 · 224 · 336 · 672 · 757 · 1514 · 2271 · 3028 · 4542 · 5299 · 6056 · 9084 · 10598 · 12112 · 15897 · 18168 · 21196 · 24224 · 31794 · 36336 · 42392 · 63588 · 72672 · 84784 · 127176 · 169568 · 254352 (half) · 508704
Aliquot sum (sum of proper divisors): 1,019,424
Factor pairs (a × b = 508,704)
1 × 508704
2 × 254352
3 × 169568
4 × 127176
6 × 84784
7 × 72672
8 × 63588
12 × 42392
14 × 36336
16 × 31794
21 × 24224
24 × 21196
28 × 18168
32 × 15897
42 × 12112
48 × 10598
56 × 9084
84 × 6056
96 × 5299
112 × 4542
168 × 3028
224 × 2271
336 × 1514
672 × 757
First multiples
508,704 · 1,017,408 (double) · 1,526,112 · 2,034,816 · 2,543,520 · 3,052,224 · 3,560,928 · 4,069,632 · 4,578,336 · 5,087,040

Sums & aliquot sequence

As consecutive integers: 169,567 + 169,568 + 169,569 72,669 + 72,670 + … + 72,675 24,214 + 24,215 + … + 24,234 7,917 + 7,918 + … + 7,980
Aliquot sequence: 508,704 1,019,424 2,198,112 4,398,240 14,217,504 28,437,024 64,653,792 129,309,600 365,658,720 950,724,768 1,978,611,936 3,957,225,888 9,655,709,280 25,104,856,224 — keeps growing

Continued fraction of √n

√508,704 = [713; (4, 3, 1, 7, 1, 2, 11, 1, 1, 1, 3, 1, 1, 1, 1, 56, 2, 4, 2, 3, 1, 2, 5, 1, …)]

Representations

In words
five hundred eight thousand seven hundred four
Ordinal
508704th
Binary
1111100001100100000
Octal
1741440
Hexadecimal
0x7C320
Base64
B8Mg
One's complement
4,294,458,591 (32-bit)
Scientific notation
5.08704 × 10⁵
As a duration
508,704 s = 5 days, 21 hours, 18 minutes, 24 seconds
In other bases
ternary (3) 221211210220
quaternary (4) 1330030200
quinary (5) 112234304
senary (6) 14523040
septenary (7) 4216050
nonary (9) 854726
undecimal (11) 318219
duodecimal (12) 206480
tridecimal (13) 14a711
tetradecimal (14) d3560
pentadecimal (15) a0ad9

As an angle

508,704° = 1,413 × 360° + 24°
24° ≈ 0.419 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵φηψδʹ
Chinese
五十萬八千七百零四
Chinese (financial)
伍拾萬捌仟柒佰零肆
In other modern scripts
Eastern Arabic ٥٠٨٧٠٤ Devanagari ५०८७०४ Bengali ৫০৮৭০৪ Tamil ௫௦௮௭௦௪ Thai ๕๐๘๗๐๔ Tibetan ༥༠༨༧༠༤ Khmer ៥០៨៧០៤ Lao ໕໐໘໗໐໔ Burmese ၅၀၈၇၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 508704, here are decompositions:

  • 11 + 508693 = 508704
  • 43 + 508661 = 508704
  • 61 + 508643 = 508704
  • 67 + 508637 = 508704
  • 83 + 508621 = 508704
  • 127 + 508577 = 508704
  • 137 + 508567 = 508704
  • 173 + 508531 = 508704

Showing the first eight; more decompositions exist.

Hex color
#07C320
RGB(7, 195, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.195.32.

Address
0.7.195.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.195.32

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 508,704 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 508704 first appears in π at position 363,958 of the decimal expansion (the 363,958ordinal-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°.