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476,720

476,720 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.).

476,720 (four hundred seventy-six thousand seven hundred twenty) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5 × 59 × 101. Its proper divisors sum to 661,600, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x74630.

Abundant Number Arithmetic Number Evil Number Gapful Number Practical Number Refactorable Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
26
Digit product
0
Digital root
8
Palindrome
No
Bit width
19 bits
Reversed
27,674
Square (n²)
227,261,958,400
Cube (n³)
108,340,320,808,448,000
Divisor count
40
σ(n) — sum of divisors
1,138,320
φ(n) — Euler's totient
185,600
Sum of prime factors
173

Primality

Prime factorization: 2 4 × 5 × 59 × 101

Nearest primes: 476,719 (−1) · 476,737 (+17)

Divisors & multiples

All divisors (40)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 40 · 59 · 80 · 101 · 118 · 202 · 236 · 295 · 404 · 472 · 505 · 590 · 808 · 944 · 1010 · 1180 · 1616 · 2020 · 2360 · 4040 · 4720 · 5959 · 8080 · 11918 · 23836 · 29795 · 47672 · 59590 · 95344 · 119180 · 238360 (half) · 476720
Aliquot sum (sum of proper divisors): 661,600
Factor pairs (a × b = 476,720)
1 × 476720
2 × 238360
4 × 119180
5 × 95344
8 × 59590
10 × 47672
16 × 29795
20 × 23836
40 × 11918
59 × 8080
80 × 5959
101 × 4720
118 × 4040
202 × 2360
236 × 2020
295 × 1616
404 × 1180
472 × 1010
505 × 944
590 × 808
First multiples
476,720 · 953,440 (double) · 1,430,160 · 1,906,880 · 2,383,600 · 2,860,320 · 3,337,040 · 3,813,760 · 4,290,480 · 4,767,200

Sums & aliquot sequence

As consecutive integers: 95,342 + 95,343 + 95,344 + 95,345 + 95,346 14,882 + 14,883 + … + 14,913 8,051 + 8,052 + … + 8,109 4,670 + 4,671 + … + 4,770
Aliquot sequence: 476,720 661,600 955,484 748,540 944,900 1,294,540 1,656,884 1,242,670 1,438,610 1,165,486 1,011,794 722,734 396,434 200,926 127,898 63,952 77,904 — unresolved within range

Continued fraction of √n

√476,720 = [690; (2, 4, 2, 2, 2, 2, 1, 1, 1, 16, 1, 1, 1, 2, 2, 2, 2, 4, 2, 1380)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy-six thousand seven hundred twenty
Ordinal
476720th
Binary
1110100011000110000
Octal
1643060
Hexadecimal
0x74630
Base64
B0Yw
One's complement
4,294,490,575 (32-bit)
Scientific notation
4.7672 × 10⁵
As a duration
476,720 s = 5 days, 12 hours, 25 minutes, 20 seconds
In other bases
ternary (3) 220012221022
quaternary (4) 1310120300
quinary (5) 110223340
senary (6) 14115012
septenary (7) 4023566
nonary (9) 805838
undecimal (11) 2a6192
duodecimal (12) 1aba68
tridecimal (13) 138caa
tetradecimal (14) c5a36
pentadecimal (15) 963b5

As an angle

476,720° = 1,324 × 360° + 80°
80° ≈ 1.396 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵υοϛψκʹ
Chinese
四十七萬六千七百二十
Chinese (financial)
肆拾柒萬陸仟柒佰貳拾
In other modern scripts
Eastern Arabic ٤٧٦٧٢٠ Devanagari ४७६७२० Bengali ৪৭৬৭২০ Tamil ௪௭௬௭௨௦ Thai ๔๗๖๗๒๐ Tibetan ༤༧༦༧༢༠ Khmer ៤៧៦៧២០ Lao ໔໗໖໗໒໐ Burmese ၄၇၆၇၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 476720, here are decompositions:

  • 7 + 476713 = 476720
  • 19 + 476701 = 476720
  • 37 + 476683 = 476720
  • 61 + 476659 = 476720
  • 73 + 476647 = 476720
  • 109 + 476611 = 476720
  • 241 + 476479 = 476720
  • 313 + 476407 = 476720

Showing the first eight; more decompositions exist.

Hex color
#074630
RGB(7, 70, 48)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.70.48.

Address
0.7.70.48
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.70.48

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 476,720 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 476720 first appears in π at position 519,829 of the decimal expansion (the 519,829ordinal-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°.