Live analysis

472,108

472,108 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.).

472,108 (four hundred seventy-two thousand one hundred eight) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 7 × 13 × 1,297. Its proper divisors sum to 545,524, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7342C.

Abundant Number Cube-Free Odious Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

472,096 472,097 472,098 472,099 472,100 472,101 472,102 472,103 472,104 472,105 472,106 472,107 472,108 472,109 472,110 472,111 472,112 472,113 472,114 472,115 472,116 472,117 472,118 472,119 472,120

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Properties

Parity: Even
Digit count: 6
Digit sum: 22
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 19 bits
Reversed: 801,274
Square (n²): 222,885,963,664
Cube (n³): 105,226,246,533,483,712
Divisor count: 24
σ(n) — sum of divisors: 1,017,632
φ(n) — Euler's totient: 186,624
Sum of prime factors: 1,321

Primality

Prime factorization: 2 ² × 7 × 13 × 1297

Nearest primes: 472,103 (−5) · 472,111 (+3)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 7 · 13 · 14 · 26 · 28 · 52 · 91 · 182 · 364 · 1297 · 2594 · 5188 · 9079 · 16861 · 18158 · 33722 · 36316 · 67444 · 118027 · 236054 (half) · 472108

Aliquot sum (sum of proper divisors): 545,524

Factor pairs (a × b = 472,108)

1 × 472108

2 × 236054

4 × 118027

7 × 67444

13 × 36316

14 × 33722

26 × 18158

28 × 16861

52 × 9079

91 × 5188

182 × 2594

364 × 1297

First multiples

472,108 · 944,216 (double) · 1,416,324 · 1,888,432 · 2,360,540 · 2,832,648 · 3,304,756 · 3,776,864 · 4,248,972 · 4,721,080

Sums & aliquot sequence

As consecutive integers: 67,441 + 67,442 + … + 67,447 59,010 + 59,011 + … + 59,017 36,310 + 36,311 + … + 36,322 8,403 + 8,404 + … + 8,458

Aliquot sequence: 472,108 → 545,524 → 545,580 → 1,350,132 → 2,250,444 → 3,849,524 → 3,849,580 → 5,698,196 → 6,369,580 → 8,917,748 → 8,995,084 → 10,086,132 → 17,008,908 → 32,310,516 → 54,340,748 → 64,221,556 → 66,515,582 — unresolved within range

Continued fraction of √n

√472,108 = [687; (9, 1, 7, 1, 2, 1, 7, 1, 9, 1374)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words: four hundred seventy-two thousand one hundred eight
Ordinal: 472108th
Binary: 1110011010000101100
Octal: 1632054
Hexadecimal: 0x7342C
Base64: BzQs
One's complement: 4,294,495,187 (32-bit)
Scientific notation: 4.72108 × 10⁵
As a duration: 472,108 s = 5 days, 11 hours, 8 minutes, 28 seconds

In other bases

ternary (3) 212222121111

quaternary (4) 1303100230

quinary (5) 110101413

senary (6) 14041404

septenary (7) 4004260

nonary (9) 788544

undecimal (11) 2a277a

duodecimal (12) 1a9264

tridecimal (13) 136b70

tetradecimal (14) c40a0

pentadecimal (15) 94d3d

As an angle

472,108° = 1,311 × 360° + 148°

148° ≈ 2.583 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵υοβρηʹ
Chinese: 四十七萬二千一百零八
Chinese (financial): 肆拾柒萬貳仟壹佰零捌

In other modern scripts

Eastern Arabic ٤٧٢١٠٨ Devanagari ४७२१०८ Bengali ৪৭২১০৮ Tamil ௪௭௨௧௦௮ Thai ๔๗๒๑๐๘ Tibetan ༤༧༢༡༠༨ Khmer ៤៧២១០៨ Lao ໔໗໒໑໐໘ Burmese ၄၇၂၁၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472108, here are decompositions:

5 + 472103 = 472108
41 + 472067 = 472108
89 + 472019 = 472108
149 + 471959 = 472108
179 + 471929 = 472108
317 + 471791 = 472108
359 + 471749 = 472108
389 + 471719 = 472108

Showing the first eight; more decompositions exist.

Hex color

#07342C

RGB(7, 52, 44)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.52.44.

Address: 0.7.52.44
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.52.44

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 472,108 and was likely granted around 1891.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US472,108 on Google Patents ↗ Look up on USPTO ↗