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470,844

470,844 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.).

470,844 (four hundred seventy thousand eight hundred forty-four) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2² × 3² × 11 × 29 × 41. Its proper divisors sum to 905,076, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x72F3C.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Practical Number Recamán's Sequence Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
0
Digital root
9
Palindrome
No
Bit width
19 bits
Reversed
448,074
Recamán's sequence
a(135,784) = 470,844
Square (n²)
221,694,072,336
Cube (n³)
104,383,323,794,971,584
Divisor count
72
σ(n) — sum of divisors
1,375,920
φ(n) — Euler's totient
134,400
Sum of prime factors
91

Primality

Prime factorization: 2 2 × 3 2 × 11 × 29 × 41

Nearest primes: 470,837 (−7) · 470,863 (+19)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 6 · 9 · 11 · 12 · 18 · 22 · 29 · 33 · 36 · 41 · 44 · 58 · 66 · 82 · 87 · 99 · 116 · 123 · 132 · 164 · 174 · 198 · 246 · 261 · 319 · 348 · 369 · 396 · 451 · 492 · 522 · 638 · 738 · 902 · 957 · 1044 · 1189 · 1276 · 1353 · 1476 · 1804 · 1914 · 2378 · 2706 · 2871 · 3567 · 3828 · 4059 · 4756 · 5412 · 5742 · 7134 · 8118 · 10701 · 11484 · 13079 · 14268 · 16236 · 21402 · 26158 · 39237 · 42804 · 52316 · 78474 · 117711 · 156948 · 235422 (half) · 470844
Aliquot sum (sum of proper divisors): 905,076
Factor pairs (a × b = 470,844)
1 × 470844
2 × 235422
3 × 156948
4 × 117711
6 × 78474
9 × 52316
11 × 42804
12 × 39237
18 × 26158
22 × 21402
29 × 16236
33 × 14268
36 × 13079
41 × 11484
44 × 10701
58 × 8118
66 × 7134
82 × 5742
87 × 5412
99 × 4756
116 × 4059
123 × 3828
132 × 3567
164 × 2871
174 × 2706
198 × 2378
246 × 1914
261 × 1804
319 × 1476
348 × 1353
369 × 1276
396 × 1189
451 × 1044
492 × 957
522 × 902
638 × 738
First multiples
470,844 · 941,688 (double) · 1,412,532 · 1,883,376 · 2,354,220 · 2,825,064 · 3,295,908 · 3,766,752 · 4,237,596 · 4,708,440

Sums & aliquot sequence

As consecutive integers: 156,947 + 156,948 + 156,949 58,852 + 58,853 + … + 58,859 52,312 + 52,313 + … + 52,320 42,799 + 42,800 + … + 42,809
Aliquot sequence: 470,844 905,076 1,459,468 1,104,884 1,004,524 810,324 1,395,264 2,695,152 4,267,448 3,757,552 3,522,736 4,405,328 4,501,840 7,461,680 10,803,520 22,032,584 25,634,296 — unresolved within range

Continued fraction of √n

√470,844 = [686; (5, 1, 1, 7, 12, 1, 2, 3, 1, 5, 3, 30, 5, 1, 1, 342, 1, 1, 5, 30, 3, 5, 1, 3, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy thousand eight hundred forty-four
Ordinal
470844th
Binary
1110010111100111100
Octal
1627474
Hexadecimal
0x72F3C
Base64
By88
One's complement
4,294,496,451 (32-bit)
Scientific notation
4.70844 × 10⁵
As a duration
470,844 s = 5 days, 10 hours, 47 minutes, 24 seconds
In other bases
ternary (3) 212220212200
quaternary (4) 1302330330
quinary (5) 110031334
senary (6) 14031500
septenary (7) 4000503
nonary (9) 786780
undecimal (11) 2a1830
duodecimal (12) 1a8590
tridecimal (13) 13640a
tetradecimal (14) c383a
pentadecimal (15) 94799

As an angle

470,844° = 1,307 × 360° + 324°
324° ≈ 5.655 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υοωμδʹ
Chinese
四十七萬零八百四十四
Chinese (financial)
肆拾柒萬零捌佰肆拾肆
In other modern scripts
Eastern Arabic ٤٧٠٨٤٤ Devanagari ४७०८४४ Bengali ৪৭০৮৪৪ Tamil ௪௭௦௮௪௪ Thai ๔๗๐๘๔๔ Tibetan ༤༧༠༨༤༤ Khmer ៤៧០៨៤៤ Lao ໔໗໐໘໔໔ Burmese ၄၇၀၈၄၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 470844, here are decompositions:

  • 7 + 470837 = 470844
  • 13 + 470831 = 470844
  • 53 + 470791 = 470844
  • 61 + 470783 = 470844
  • 113 + 470731 = 470844
  • 181 + 470663 = 470844
  • 191 + 470653 = 470844
  • 193 + 470651 = 470844

Showing the first eight; more decompositions exist.

Hex color
#072F3C
RGB(7, 47, 60)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.47.60.

Address
0.7.47.60
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.47.60

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 470,844 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 470844 first appears in π at position 654,970 of the decimal expansion (the 654,970ordinal-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°.