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470,580

470,580 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.).

470,580 (four hundred seventy thousand five hundred eighty) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2² × 3 × 5 × 11 × 23 × 31. Its proper divisors sum to 1,077,708, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x72E34.

Abundant Number Arithmetic Number Cube-Free Evil Number Practical Number Self Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
19 bits
Reversed
85,074
Square (n²)
221,445,536,400
Cube (n³)
104,207,840,519,112,000
Divisor count
96
σ(n) — sum of divisors
1,548,288
φ(n) — Euler's totient
105,600
Sum of prime factors
77

Primality

Prime factorization: 2 2 × 3 × 5 × 11 × 23 × 31

Nearest primes: 470,579 (−1) · 470,593 (+13)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 5 · 6 · 10 · 11 · 12 · 15 · 20 · 22 · 23 · 30 · 31 · 33 · 44 · 46 · 55 · 60 · 62 · 66 · 69 · 92 · 93 · 110 · 115 · 124 · 132 · 138 · 155 · 165 · 186 · 220 · 230 · 253 · 276 · 310 · 330 · 341 · 345 · 372 · 460 · 465 · 506 · 620 · 660 · 682 · 690 · 713 · 759 · 930 · 1012 · 1023 · 1265 · 1364 · 1380 · 1426 · 1518 · 1705 · 1860 · 2046 · 2139 · 2530 · 2852 · 3036 · 3410 · 3565 · 3795 · 4092 · 4278 · 5060 · 5115 · 6820 · 7130 · 7590 · 7843 · 8556 · 10230 · 10695 · 14260 · 15180 · 15686 · 20460 · 21390 · 23529 · 31372 · 39215 · 42780 · 47058 · 78430 · 94116 · 117645 · 156860 · 235290 (half) · 470580
Aliquot sum (sum of proper divisors): 1,077,708
Factor pairs (a × b = 470,580)
1 × 470580
2 × 235290
3 × 156860
4 × 117645
5 × 94116
6 × 78430
10 × 47058
11 × 42780
12 × 39215
15 × 31372
20 × 23529
22 × 21390
23 × 20460
30 × 15686
31 × 15180
33 × 14260
44 × 10695
46 × 10230
55 × 8556
60 × 7843
62 × 7590
66 × 7130
69 × 6820
92 × 5115
93 × 5060
110 × 4278
115 × 4092
124 × 3795
132 × 3565
138 × 3410
155 × 3036
165 × 2852
186 × 2530
220 × 2139
230 × 2046
253 × 1860
276 × 1705
310 × 1518
330 × 1426
341 × 1380
345 × 1364
372 × 1265
460 × 1023
465 × 1012
506 × 930
620 × 759
660 × 713
682 × 690
First multiples
470,580 · 941,160 (double) · 1,411,740 · 1,882,320 · 2,352,900 · 2,823,480 · 3,294,060 · 3,764,640 · 4,235,220 · 4,705,800

Sums & aliquot sequence

As consecutive integers: 156,859 + 156,860 + 156,861 94,114 + 94,115 + 94,116 + 94,117 + 94,118 58,819 + 58,820 + … + 58,826 42,775 + 42,776 + … + 42,785
Aliquot sequence: 470,580 1,077,708 1,436,972 1,077,736 1,193,144 1,044,016 1,067,456 1,215,496 1,063,574 537,826 268,916 241,804 188,724 251,660 276,868 233,292 311,084 — unresolved within range

Continued fraction of √n

√470,580 = [685; (1, 84, 1, 2, 1, 84, 1, 1370)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy thousand five hundred eighty
Ordinal
470580th
Binary
1110010111000110100
Octal
1627064
Hexadecimal
0x72E34
Base64
By40
One's complement
4,294,496,715 (32-bit)
Scientific notation
4.7058 × 10⁵
As a duration
470,580 s = 5 days, 10 hours, 43 minutes
In other bases
ternary (3) 212220111220
quaternary (4) 1302320310
quinary (5) 110024310
senary (6) 14030340
septenary (7) 3666645
nonary (9) 786456
undecimal (11) 2a1610
duodecimal (12) 1a83b0
tridecimal (13) 136266
tetradecimal (14) c36cc
pentadecimal (15) 94670

As an angle

470,580° = 1,307 × 360° + 60°
60° ≈ 1.047 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵υοφπʹ
Chinese
四十七萬零五百八十
Chinese (financial)
肆拾柒萬零伍佰捌拾
In other modern scripts
Eastern Arabic ٤٧٠٥٨٠ Devanagari ४७०५८० Bengali ৪৭০৫৮০ Tamil ௪௭௦௫௮௦ Thai ๔๗๐๕๘๐ Tibetan ༤༧༠༥༨༠ Khmer ៤៧០៥៨០ Lao ໔໗໐໕໘໐ Burmese ၄၇၀၅၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 470580, here are decompositions:

  • 29 + 470551 = 470580
  • 41 + 470539 = 470580
  • 59 + 470521 = 470580
  • 67 + 470513 = 470580
  • 79 + 470501 = 470580
  • 107 + 470473 = 470580
  • 109 + 470471 = 470580
  • 127 + 470453 = 470580

Showing the first eight; more decompositions exist.

Hex color
#072E34
RGB(7, 46, 52)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.46.52.

Address
0.7.46.52
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.46.52

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 470,580 and was likely granted around 1891.

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

Position in π

The digit sequence 470580 first appears in π at position 568,512 of the decimal expansion (the 568,512ordinal-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°.