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472,446

472,446 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.).

472,446 (four hundred seventy-two thousand four hundred forty-six) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3³ × 13 × 673. Its proper divisors sum to 659,874, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7357E.

Abundant Number Arithmetic Number Harshad / Niven Odious Number Pernicious Number Practical 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
644,274
Square (n²)
223,205,222,916
Cube (n³)
105,452,414,745,772,536
Divisor count
32
σ(n) — sum of divisors
1,132,320
φ(n) — Euler's totient
145,152
Sum of prime factors
697

Primality

Prime factorization: 2 × 3 3 × 13 × 673

Nearest primes: 472,421 (−25) · 472,457 (+11)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 6 · 9 · 13 · 18 · 26 · 27 · 39 · 54 · 78 · 117 · 234 · 351 · 673 · 702 · 1346 · 2019 · 4038 · 6057 · 8749 · 12114 · 17498 · 18171 · 26247 · 36342 · 52494 · 78741 · 157482 · 236223 (half) · 472446
Aliquot sum (sum of proper divisors): 659,874
Factor pairs (a × b = 472,446)
1 × 472446
2 × 236223
3 × 157482
6 × 78741
9 × 52494
13 × 36342
18 × 26247
26 × 18171
27 × 17498
39 × 12114
54 × 8749
78 × 6057
117 × 4038
234 × 2019
351 × 1346
673 × 702
First multiples
472,446 · 944,892 (double) · 1,417,338 · 1,889,784 · 2,362,230 · 2,834,676 · 3,307,122 · 3,779,568 · 4,252,014 · 4,724,460

Sums & aliquot sequence

As consecutive integers: 157,481 + 157,482 + 157,483 118,110 + 118,111 + 118,112 + 118,113 52,490 + 52,491 + … + 52,498 39,365 + 39,366 + … + 39,376
Aliquot sequence: 472,446 659,874 679,326 789,474 1,015,134 1,039,026 1,054,158 1,484,082 1,841,724 2,933,396 2,214,124 2,012,924 1,509,700 1,878,972 2,647,620 5,591,100 10,586,684 — unresolved within range

Continued fraction of √n

√472,446 = [687; (2, 1, 7, 2, 2, 1, 1, 1, 1, 2, 1, 1, 59, 5, 3, 2, 3, 2, 52, 2, 3, 2, 3, 5, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy-two thousand four hundred forty-six
Ordinal
472446th
Binary
1110011010101111110
Octal
1632576
Hexadecimal
0x7357E
Base64
BzV+
One's complement
4,294,494,849 (32-bit)
Scientific notation
4.72446 × 10⁵
As a duration
472,446 s = 5 days, 11 hours, 14 minutes, 6 seconds
In other bases
ternary (3) 220000002000
quaternary (4) 1303111332
quinary (5) 110104241
senary (6) 14043130
septenary (7) 4005252
nonary (9) 800060
undecimal (11) 2a2a57
duodecimal (12) 1a94a6
tridecimal (13) 137070
tetradecimal (14) c4262
pentadecimal (15) 94eb6

As an angle

472,446° = 1,312 × 360° + 126°
126° ≈ 2.199 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υοβυμϛʹ
Chinese
四十七萬二千四百四十六
Chinese (financial)
肆拾柒萬貳仟肆佰肆拾陸
In other modern scripts
Eastern Arabic ٤٧٢٤٤٦ Devanagari ४७२४४६ Bengali ৪৭২৪৪৬ Tamil ௪௭௨௪௪௬ Thai ๔๗๒๔๔๖ Tibetan ༤༧༢༤༤༦ Khmer ៤៧២៤៤៦ Lao ໔໗໒໔໔໖ Burmese ၄၇၂၄၄၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472446, here are decompositions:

  • 47 + 472399 = 472446
  • 53 + 472393 = 472446
  • 97 + 472349 = 472446
  • 113 + 472333 = 472446
  • 127 + 472319 = 472446
  • 137 + 472309 = 472446
  • 157 + 472289 = 472446
  • 173 + 472273 = 472446

Showing the first eight; more decompositions exist.

Hex color
#07357E
RGB(7, 53, 126)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.53.126.

Address
0.7.53.126
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.53.126

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 472,446 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 472446 first appears in π at position 797,673 of the decimal expansion (the 797,673ordinal-suffix:rd 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°.