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491,304

491,304 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.).

491,304 (four hundred ninety-one thousand three hundred four) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 11 × 1,861. Its proper divisors sum to 849,336, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x77F28.

Abundant Number Arithmetic Number Evil Number Gapful Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
19 bits
Reversed
403,194
Square (n²)
241,379,620,416
Cube (n³)
118,590,773,028,862,464
Divisor count
32
σ(n) — sum of divisors
1,340,640
φ(n) — Euler's totient
148,800
Sum of prime factors
1,881

Primality

Prime factorization: 2 3 × 3 × 11 × 1861

Nearest primes: 491,299 (−5) · 491,327 (+23)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 4 · 6 · 8 · 11 · 12 · 22 · 24 · 33 · 44 · 66 · 88 · 132 · 264 · 1861 · 3722 · 5583 · 7444 · 11166 · 14888 · 20471 · 22332 · 40942 · 44664 · 61413 · 81884 · 122826 · 163768 · 245652 (half) · 491304
Aliquot sum (sum of proper divisors): 849,336
Factor pairs (a × b = 491,304)
1 × 491304
2 × 245652
3 × 163768
4 × 122826
6 × 81884
8 × 61413
11 × 44664
12 × 40942
22 × 22332
24 × 20471
33 × 14888
44 × 11166
66 × 7444
88 × 5583
132 × 3722
264 × 1861
First multiples
491,304 · 982,608 (double) · 1,473,912 · 1,965,216 · 2,456,520 · 2,947,824 · 3,439,128 · 3,930,432 · 4,421,736 · 4,913,040

Sums & aliquot sequence

As consecutive integers: 163,767 + 163,768 + 163,769 44,659 + 44,660 + … + 44,669 30,699 + 30,700 + … + 30,714 14,872 + 14,873 + … + 14,904
Aliquot sequence: 491,304 849,336 1,326,024 2,888,376 4,332,624 6,860,112 14,602,800 33,431,824 31,342,366 20,050,514 14,690,062 7,345,034 3,786,394 1,893,200 2,656,174 1,328,090 1,104,070 — unresolved within range

Continued fraction of √n

√491,304 = [700; (1, 13, 2, 4, 1, 4, 5, 3, 2, 4, 2, 2, 1, 1, 3, 3, 8, 11, 5, 2, 2, 4, 1, 7, …)]

Representations

In words
four hundred ninety-one thousand three hundred four
Ordinal
491304th
Binary
1110111111100101000
Octal
1677450
Hexadecimal
0x77F28
Base64
B38o
One's complement
4,294,475,991 (32-bit)
Scientific notation
4.91304 × 10⁵
As a duration
491,304 s = 5 days, 16 hours, 28 minutes, 24 seconds
In other bases
ternary (3) 220221221110
quaternary (4) 1313330220
quinary (5) 111210204
senary (6) 14310320
septenary (7) 4114242
nonary (9) 827843
undecimal (11) 306140
duodecimal (12) 1b83a0
tridecimal (13) 142818
tetradecimal (14) cb092
pentadecimal (15) 9a889

As an angle

491,304° = 1,364 × 360° + 264°
264° ≈ 4.608 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υϟατδʹ
Chinese
四十九萬一千三百零四
Chinese (financial)
肆拾玖萬壹仟參佰零肆
In other modern scripts
Eastern Arabic ٤٩١٣٠٤ Devanagari ४९१३०४ Bengali ৪৯১৩০৪ Tamil ௪௯௧௩௦௪ Thai ๔๙๑๓๐๔ Tibetan ༤༩༡༣༠༤ Khmer ៤៩១៣០៤ Lao ໔໙໑໓໐໔ Burmese ၄၉၁၃၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 491304, here are decompositions:

  • 5 + 491299 = 491304
  • 7 + 491297 = 491304
  • 31 + 491273 = 491304
  • 43 + 491261 = 491304
  • 53 + 491251 = 491304
  • 103 + 491201 = 491304
  • 137 + 491167 = 491304
  • 167 + 491137 = 491304

Showing the first eight; more decompositions exist.

Hex color
#077F28
RGB(7, 127, 40)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.127.40.

Address
0.7.127.40
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.127.40

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 491,304 and was likely granted around 1892.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 491304 first appears in π at position 135,457 of the decimal expansion (the 135,457ordinal-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°.