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472,836

472,836 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.).

472,836 (four hundred seventy-two thousand eight hundred thirty-six) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 7 × 13 × 433. Its proper divisors sum to 888,188, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73704.

Abundant Number Cube-Free Odious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
30
Digit product
8,064
Digital root
3
Palindrome
No
Bit width
19 bits
Reversed
638,274
Square (n²)
223,573,882,896
Cube (n³)
105,713,780,493,013,056
Divisor count
48
σ(n) — sum of divisors
1,361,024
φ(n) — Euler's totient
124,416
Sum of prime factors
460

Primality

Prime factorization: 2 2 × 3 × 7 × 13 × 433

Nearest primes: 472,831 (−5) · 472,837 (+1)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 7 · 12 · 13 · 14 · 21 · 26 · 28 · 39 · 42 · 52 · 78 · 84 · 91 · 156 · 182 · 273 · 364 · 433 · 546 · 866 · 1092 · 1299 · 1732 · 2598 · 3031 · 5196 · 5629 · 6062 · 9093 · 11258 · 12124 · 16887 · 18186 · 22516 · 33774 · 36372 · 39403 · 67548 · 78806 · 118209 · 157612 · 236418 (half) · 472836
Aliquot sum (sum of proper divisors): 888,188
Factor pairs (a × b = 472,836)
1 × 472836
2 × 236418
3 × 157612
4 × 118209
6 × 78806
7 × 67548
12 × 39403
13 × 36372
14 × 33774
21 × 22516
26 × 18186
28 × 16887
39 × 12124
42 × 11258
52 × 9093
78 × 6062
84 × 5629
91 × 5196
156 × 3031
182 × 2598
273 × 1732
364 × 1299
433 × 1092
546 × 866
First multiples
472,836 · 945,672 (double) · 1,418,508 · 1,891,344 · 2,364,180 · 2,837,016 · 3,309,852 · 3,782,688 · 4,255,524 · 4,728,360

Sums & aliquot sequence

As consecutive integers: 157,611 + 157,612 + 157,613 67,545 + 67,546 + … + 67,551 59,101 + 59,102 + … + 59,108 36,366 + 36,367 + … + 36,378
Aliquot sequence: 472,836 888,188 888,244 888,300 2,444,820 5,379,948 10,609,844 10,746,316 10,746,372 20,325,564 38,393,460 100,650,060 257,230,260 634,505,676 1,057,509,684 2,471,449,932 4,688,016,564 — unresolved within range

Continued fraction of √n

√472,836 = [687; (1, 1, 1, 2, 2, 2, 1, 3, 1, 1, 1, 4, 3, 11, 18, 4, 39, 21, 2, 6, 3, 1, 19, 2, …)]

Representations

In words
four hundred seventy-two thousand eight hundred thirty-six
Ordinal
472836th
Binary
1110011011100000100
Octal
1633404
Hexadecimal
0x73704
Base64
BzcE
One's complement
4,294,494,459 (32-bit)
Scientific notation
4.72836 × 10⁵
As a duration
472,836 s = 5 days, 11 hours, 20 minutes, 36 seconds
In other bases
ternary (3) 220000121110
quaternary (4) 1303130010
quinary (5) 110112321
senary (6) 14045020
septenary (7) 4006350
nonary (9) 800543
undecimal (11) 2a3281
duodecimal (12) 1a9770
tridecimal (13) 1372b0
tetradecimal (14) c4460
pentadecimal (15) 95176

As an angle

472,836° = 1,313 × 360° + 156°
156° ≈ 2.723 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υοβωλϛʹ
Chinese
四十七萬二千八百三十六
Chinese (financial)
肆拾柒萬貳仟捌佰參拾陸
In other modern scripts
Eastern Arabic ٤٧٢٨٣٦ Devanagari ४७२८३६ Bengali ৪৭২৮৩৬ Tamil ௪௭௨௮௩௬ Thai ๔๗๒๘๓๖ Tibetan ༤༧༢༨༣༦ Khmer ៤៧២៨៣៦ Lao ໔໗໒໘໓໖ Burmese ၄၇၂၈၃၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472836, here are decompositions:

  • 5 + 472831 = 472836
  • 19 + 472817 = 472836
  • 37 + 472799 = 472836
  • 43 + 472793 = 472836
  • 73 + 472763 = 472836
  • 127 + 472709 = 472836
  • 139 + 472697 = 472836
  • 149 + 472687 = 472836

Showing the first eight; more decompositions exist.

Hex color
#073704
RGB(7, 55, 4)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.55.4.

Address
0.7.55.4
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.55.4

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 472,836 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 472836 first appears in π at position 136,676 of the decimal expansion (the 136,676ordinal-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°.