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476,680

476,680 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.).

476,680 (four hundred seventy-six thousand six hundred eighty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5 × 17 × 701. Its proper divisors sum to 660,560, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x74608.

Abundant Number Gapful Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
31
Digit product
0
Digital root
4
Palindrome
No
Bit width
19 bits
Reversed
86,674
Square (n²)
227,223,822,400
Cube (n³)
108,313,051,661,632,000
Divisor count
32
σ(n) — sum of divisors
1,137,240
φ(n) — Euler's totient
179,200
Sum of prime factors
729

Primality

Prime factorization: 2 3 × 5 × 17 × 701

Nearest primes: 476,659 (−21) · 476,681 (+1)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 5 · 8 · 10 · 17 · 20 · 34 · 40 · 68 · 85 · 136 · 170 · 340 · 680 · 701 · 1402 · 2804 · 3505 · 5608 · 7010 · 11917 · 14020 · 23834 · 28040 · 47668 · 59585 · 95336 · 119170 · 238340 (half) · 476680
Aliquot sum (sum of proper divisors): 660,560
Factor pairs (a × b = 476,680)
1 × 476680
2 × 238340
4 × 119170
5 × 95336
8 × 59585
10 × 47668
17 × 28040
20 × 23834
34 × 14020
40 × 11917
68 × 7010
85 × 5608
136 × 3505
170 × 2804
340 × 1402
680 × 701
First multiples
476,680 · 953,360 (double) · 1,430,040 · 1,906,720 · 2,383,400 · 2,860,080 · 3,336,760 · 3,813,440 · 4,290,120 · 4,766,800

Sums & aliquot sequence

As a sum of two squares: 78² + 686² = 182² + 666² = 254² + 642² = 474² + 502²
As consecutive integers: 95,334 + 95,335 + 95,336 + 95,337 + 95,338 29,785 + 29,786 + … + 29,800 28,032 + 28,033 + … + 28,048 5,919 + 5,920 + … + 5,998
Aliquot sequence: 476,680 660,560 946,480 1,254,272 1,316,128 1,511,312 1,798,000 2,844,560 4,173,964 3,559,412 2,686,828 2,262,732 3,049,764 4,066,380 9,692,820 19,709,280 47,553,552 — unresolved within range

Continued fraction of √n

√476,680 = [690; (2, 2, 1, 1, 1, 2, 2, 11, 11, 1, 1, 14, 1, 152, 2, 27, 1, 2, 6, 1, 8, 3, 1, 1, …)]

Representations

In words
four hundred seventy-six thousand six hundred eighty
Ordinal
476680th
Binary
1110100011000001000
Octal
1643010
Hexadecimal
0x74608
Base64
B0YI
One's complement
4,294,490,615 (32-bit)
Scientific notation
4.7668 × 10⁵
As a duration
476,680 s = 5 days, 12 hours, 24 minutes, 40 seconds
In other bases
ternary (3) 220012212211
quaternary (4) 1310120020
quinary (5) 110223210
senary (6) 14114504
septenary (7) 4023511
nonary (9) 805784
undecimal (11) 2a6156
duodecimal (12) 1aba34
tridecimal (13) 138c79
tetradecimal (14) c5a08
pentadecimal (15) 9638a

As an angle

476,680° = 1,324 × 360° + 40°
40° ≈ 0.698 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵υοϛχπʹ
Chinese
四十七萬六千六百八十
Chinese (financial)
肆拾柒萬陸仟陸佰捌拾
In other modern scripts
Eastern Arabic ٤٧٦٦٨٠ Devanagari ४७६६८० Bengali ৪৭৬৬৮০ Tamil ௪௭௬௬௮௦ Thai ๔๗๖๖๘๐ Tibetan ༤༧༦༦༨༠ Khmer ៤៧៦៦៨០ Lao ໔໗໖໖໘໐ Burmese ၄၇၆၆၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 476680, here are decompositions:

  • 41 + 476639 = 476680
  • 47 + 476633 = 476680
  • 89 + 476591 = 476680
  • 101 + 476579 = 476680
  • 167 + 476513 = 476680
  • 173 + 476507 = 476680
  • 251 + 476429 = 476680
  • 257 + 476423 = 476680

Showing the first eight; more decompositions exist.

Hex color
#074608
RGB(7, 70, 8)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.70.8.

Address
0.7.70.8
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.70.8

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 476,680 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 476680 first appears in π at position 733,096 of the decimal expansion (the 733,096ordinal-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°.