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472,216

472,216 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.).

472,216 (four hundred seventy-two thousand two hundred sixteen) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 67 × 881. Written other ways, in hexadecimal, 0x73498.

Deficient Number Odious Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
672
Digital root
4
Palindrome
No
Bit width
19 bits
Reversed
612,274
Square (n²)
222,987,950,656
Cube (n³)
105,298,478,106,973,696
Divisor count
16
σ(n) — sum of divisors
899,640
φ(n) — Euler's totient
232,320
Sum of prime factors
954

Primality

Prime factorization: 2 3 × 67 × 881

Nearest primes: 472,193 (−23) · 472,247 (+31)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 67 · 134 · 268 · 536 · 881 · 1762 · 3524 · 7048 · 59027 · 118054 · 236108 (half) · 472216
Aliquot sum (sum of proper divisors): 427,424
Factor pairs (a × b = 472,216)
1 × 472216
2 × 236108
4 × 118054
8 × 59027
67 × 7048
134 × 3524
268 × 1762
536 × 881
First multiples
472,216 · 944,432 (double) · 1,416,648 · 1,888,864 · 2,361,080 · 2,833,296 · 3,305,512 · 3,777,728 · 4,249,944 · 4,722,160

Sums & aliquot sequence

As consecutive integers: 29,506 + 29,507 + … + 29,521 7,015 + 7,016 + … + 7,081 96 + 97 + … + 976
Aliquot sequence: 472,216 427,424 484,690 434,030 347,242 283,478 174,490 139,610 123,046 125,786 64,954 34,694 25,786 12,896 15,328 14,912 14,806 — unresolved within range

Continued fraction of √n

√472,216 = [687; (5, 1, 1, 3, 2, 3, 1, 1, 5, 1374)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy-two thousand two hundred sixteen
Ordinal
472216th
Binary
1110011010010011000
Octal
1632230
Hexadecimal
0x73498
Base64
BzSY
One's complement
4,294,495,079 (32-bit)
Scientific notation
4.72216 × 10⁵
As a duration
472,216 s = 5 days, 11 hours, 10 minutes, 16 seconds
In other bases
ternary (3) 212222202111
quaternary (4) 1303102120
quinary (5) 110102331
senary (6) 14042104
septenary (7) 4004503
nonary (9) 788674
undecimal (11) 2a2868
duodecimal (12) 1a9334
tridecimal (13) 136c24
tetradecimal (14) c413a
pentadecimal (15) 94db1

As an angle

472,216° = 1,311 × 360° + 256°
256° ≈ 4.468 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒌋 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υοβσιϛʹ
Chinese
四十七萬二千二百一十六
Chinese (financial)
肆拾柒萬貳仟貳佰壹拾陸
In other modern scripts
Eastern Arabic ٤٧٢٢١٦ Devanagari ४७२२१६ Bengali ৪৭২২১৬ Tamil ௪௭௨௨௧௬ Thai ๔๗๒๒๑๖ Tibetan ༤༧༢༢༡༦ Khmer ៤៧២២១៦ Lao ໔໗໒໒໑໖ Burmese ၄၇၂၂၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472216, here are decompositions:

  • 23 + 472193 = 472216
  • 53 + 472163 = 472216
  • 83 + 472133 = 472216
  • 89 + 472127 = 472216
  • 113 + 472103 = 472216
  • 149 + 472067 = 472216
  • 197 + 472019 = 472216
  • 257 + 471959 = 472216

Showing the first eight; more decompositions exist.

Hex color
#073498
RGB(7, 52, 152)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.52.152.

Address
0.7.52.152
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.52.152

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 472,216 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 472216 first appears in π at position 636,969 of the decimal expansion (the 636,969ordinal-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°.