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472,644

472,644 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.).

472,644 (four hundred seventy-two thousand six hundred forty-four) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 19 × 691. Its proper divisors sum to 786,796, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73644.

Abundant Number Cube-Free Odious Number Practical Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
5,376
Digital root
9
Palindrome
No
Bit width
19 bits
Reversed
446,274
Square (n²)
223,392,350,736
Cube (n³)
105,585,054,221,265,984
Divisor count
36
σ(n) — sum of divisors
1,259,440
φ(n) — Euler's totient
149,040
Sum of prime factors
720

Primality

Prime factorization: 2 2 × 3 2 × 19 × 691

Nearest primes: 472,643 (−1) · 472,669 (+25)

Divisors & multiples

All divisors (36)
1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 19 · 36 · 38 · 57 · 76 · 114 · 171 · 228 · 342 · 684 · 691 · 1382 · 2073 · 2764 · 4146 · 6219 · 8292 · 12438 · 13129 · 24876 · 26258 · 39387 · 52516 · 78774 · 118161 · 157548 · 236322 (half) · 472644
Aliquot sum (sum of proper divisors): 786,796
Factor pairs (a × b = 472,644)
1 × 472644
2 × 236322
3 × 157548
4 × 118161
6 × 78774
9 × 52516
12 × 39387
18 × 26258
19 × 24876
36 × 13129
38 × 12438
57 × 8292
76 × 6219
114 × 4146
171 × 2764
228 × 2073
342 × 1382
684 × 691
First multiples
472,644 · 945,288 (double) · 1,417,932 · 1,890,576 · 2,363,220 · 2,835,864 · 3,308,508 · 3,781,152 · 4,253,796 · 4,726,440

Sums & aliquot sequence

As consecutive integers: 157,547 + 157,548 + 157,549 59,077 + 59,078 + … + 59,084 52,512 + 52,513 + … + 52,520 24,867 + 24,868 + … + 24,885
Aliquot sequence: 472,644 786,796 590,104 581,696 599,404 530,340 954,780 1,718,772 2,817,228 3,756,332 3,029,524 2,272,150 2,102,570 1,682,074 899,846 456,418 264,302 — unresolved within range

Continued fraction of √n

√472,644 = [687; (2, 27, 1, 1, 3, 1, 1, 2, 8, 2, 12, 2, 1, 1, 1, 3, 1, 16, 5, 4, 2, 1, 2, 3, …)]

Representations

In words
four hundred seventy-two thousand six hundred forty-four
Ordinal
472644th
Binary
1110011011001000100
Octal
1633104
Hexadecimal
0x73644
Base64
BzZE
One's complement
4,294,494,651 (32-bit)
Scientific notation
4.72644 × 10⁵
As a duration
472,644 s = 5 days, 11 hours, 17 minutes, 24 seconds
In other bases
ternary (3) 220000100100
quaternary (4) 1303121010
quinary (5) 110111034
senary (6) 14044100
septenary (7) 4005654
nonary (9) 800310
undecimal (11) 2a3117
duodecimal (12) 1a9630
tridecimal (13) 137193
tetradecimal (14) c4364
pentadecimal (15) 95099

As an angle

472,644° = 1,312 × 360° + 324°
324° ≈ 5.655 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υοβχμδʹ
Chinese
四十七萬二千六百四十四
Chinese (financial)
肆拾柒萬貳仟陸佰肆拾肆
In other modern scripts
Eastern Arabic ٤٧٢٦٤٤ Devanagari ४७२६४४ Bengali ৪৭২৬৪৪ Tamil ௪௭௨௬௪௪ Thai ๔๗๒๖๔๔ Tibetan ༤༧༢༦༤༤ Khmer ៤៧២៦៤៤ Lao ໔໗໒໖໔໔ Burmese ၄၇၂၆၄၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472644, here are decompositions:

  • 5 + 472639 = 472644
  • 13 + 472631 = 472644
  • 47 + 472597 = 472644
  • 71 + 472573 = 472644
  • 83 + 472561 = 472644
  • 101 + 472543 = 472644
  • 103 + 472541 = 472644
  • 167 + 472477 = 472644

Showing the first eight; more decompositions exist.

Hex color
#073644
RGB(7, 54, 68)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.54.68.

Address
0.7.54.68
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.54.68

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 472,644 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 472644 first appears in π at position 254,364 of the decimal expansion (the 254,364ordinal-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°.