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472,584

472,584 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.).

472,584 (four hundred seventy-two thousand five hundred eighty-four) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 7 × 29 × 97. Its proper divisors sum to 938,616, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73608.

Abundant Number Arithmetic Number Evil Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
30
Digit product
8,960
Digital root
3
Palindrome
No
Bit width
19 bits
Reversed
485,274
Recamán's sequence
a(137,564) = 472,584
Square (n²)
223,335,637,056
Cube (n³)
105,544,848,702,472,704
Divisor count
64
σ(n) — sum of divisors
1,411,200
φ(n) — Euler's totient
129,024
Sum of prime factors
142

Primality

Prime factorization: 2 3 × 3 × 7 × 29 × 97

Nearest primes: 472,573 (−11) · 472,597 (+13)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 12 · 14 · 21 · 24 · 28 · 29 · 42 · 56 · 58 · 84 · 87 · 97 · 116 · 168 · 174 · 194 · 203 · 232 · 291 · 348 · 388 · 406 · 582 · 609 · 679 · 696 · 776 · 812 · 1164 · 1218 · 1358 · 1624 · 2037 · 2328 · 2436 · 2716 · 2813 · 4074 · 4872 · 5432 · 5626 · 8148 · 8439 · 11252 · 16296 · 16878 · 19691 · 22504 · 33756 · 39382 · 59073 · 67512 · 78764 · 118146 · 157528 · 236292 (half) · 472584
Aliquot sum (sum of proper divisors): 938,616
Factor pairs (a × b = 472,584)
1 × 472584
2 × 236292
3 × 157528
4 × 118146
6 × 78764
7 × 67512
8 × 59073
12 × 39382
14 × 33756
21 × 22504
24 × 19691
28 × 16878
29 × 16296
42 × 11252
56 × 8439
58 × 8148
84 × 5626
87 × 5432
97 × 4872
116 × 4074
168 × 2813
174 × 2716
194 × 2436
203 × 2328
232 × 2037
291 × 1624
348 × 1358
388 × 1218
406 × 1164
582 × 812
609 × 776
679 × 696
First multiples
472,584 · 945,168 (double) · 1,417,752 · 1,890,336 · 2,362,920 · 2,835,504 · 3,308,088 · 3,780,672 · 4,253,256 · 4,725,840

Sums & aliquot sequence

As consecutive integers: 157,527 + 157,528 + 157,529 67,509 + 67,510 + … + 67,515 29,529 + 29,530 + … + 29,544 22,494 + 22,495 + … + 22,514
Aliquot sequence: 472,584 938,616 1,833,864 2,860,056 5,085,144 8,687,316 14,431,276 10,823,464 11,237,336 11,881,144 13,974,056 14,455,384 13,390,616 11,716,804 10,651,724 9,867,628 7,400,728 — unresolved within range

Continued fraction of √n

√472,584 = [687; (2, 4, 3, 1, 7, 2, 7, 1, 3, 4, 2, 1374)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy-two thousand five hundred eighty-four
Ordinal
472584th
Binary
1110011011000001000
Octal
1633010
Hexadecimal
0x73608
Base64
BzYI
One's complement
4,294,494,711 (32-bit)
Scientific notation
4.72584 × 10⁵
As a duration
472,584 s = 5 days, 11 hours, 16 minutes, 24 seconds
In other bases
ternary (3) 220000021010
quaternary (4) 1303120020
quinary (5) 110110314
senary (6) 14043520
septenary (7) 4005540
nonary (9) 800233
undecimal (11) 2a3072
duodecimal (12) 1a95a0
tridecimal (13) 137148
tetradecimal (14) c4320
pentadecimal (15) 95059
Palindromic in base 15

As an angle

472,584° = 1,312 × 360° + 264°
264° ≈ 4.608 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υοβφπδʹ
Chinese
四十七萬二千五百八十四
Chinese (financial)
肆拾柒萬貳仟伍佰捌拾肆
In other modern scripts
Eastern Arabic ٤٧٢٥٨٤ Devanagari ४७२५८४ Bengali ৪৭২৫৮৪ Tamil ௪௭௨௫௮௪ Thai ๔๗๒๕๘๔ Tibetan ༤༧༢༥༨༤ Khmer ៤៧២៥៨៤ Lao ໔໗໒໕໘໔ Burmese ၄၇၂၅၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472584, here are decompositions:

  • 11 + 472573 = 472584
  • 23 + 472561 = 472584
  • 41 + 472543 = 472584
  • 43 + 472541 = 472584
  • 61 + 472523 = 472584
  • 107 + 472477 = 472584
  • 127 + 472457 = 472584
  • 163 + 472421 = 472584

Showing the first eight; more decompositions exist.

Hex color
#073608
RGB(7, 54, 8)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.54.8.

Address
0.7.54.8
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.54.8

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 472,584 and was likely granted around 1891.

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

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.