Live analysis

472,332

472,332 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.).

472,332 (four hundred seventy-two thousand three hundred thirty-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 7 × 5,623. Its proper divisors sum to 787,444, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7350C.

Abundant Number Cube-Free Gapful Number Happy Number Harshad / Niven Odious Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

472,320 472,321 472,322 472,323 472,324 472,325 472,326 472,327 472,328 472,329 472,330 472,331 472,332 472,333 472,334 472,335 472,336 472,337 472,338 472,339 472,340 472,341 472,342 472,343 472,344

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Properties

Parity: Even
Digit count: 6
Digit sum: 21
Digit product: 1,008
Digital root: 3
Palindrome: No
Bit width: 19 bits
Reversed: 233,274
Square (n²): 223,097,518,224
Cube (n³): 105,376,096,977,778,368
Divisor count: 24
σ(n) — sum of divisors: 1,259,776
φ(n) — Euler's totient: 134,928
Sum of prime factors: 5,637

Primality

Prime factorization: 2 ² × 3 × 7 × 5623

Nearest primes: 472,331 (−1) · 472,333 (+1)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 7 · 12 · 14 · 21 · 28 · 42 · 84 · 5623 · 11246 · 16869 · 22492 · 33738 · 39361 · 67476 · 78722 · 118083 · 157444 · 236166 (half) · 472332

Aliquot sum (sum of proper divisors): 787,444

Factor pairs (a × b = 472,332)

1 × 472332

2 × 236166

3 × 157444

4 × 118083

6 × 78722

7 × 67476

12 × 39361

14 × 33738

21 × 22492

28 × 16869

42 × 11246

84 × 5623

First multiples

472,332 · 944,664 (double) · 1,416,996 · 1,889,328 · 2,361,660 · 2,833,992 · 3,306,324 · 3,778,656 · 4,250,988 · 4,723,320

Sums & aliquot sequence

As consecutive integers: 157,443 + 157,444 + 157,445 67,473 + 67,474 + … + 67,479 59,038 + 59,039 + … + 59,045 22,482 + 22,483 + … + 22,502

Aliquot sequence: 472,332 → 787,444 → 787,500 → 2,056,068 → 4,059,132 → 8,327,172 → 13,878,844 → 15,169,140 → 38,779,020 → 99,115,380 → 280,591,500 → 653,251,956 → 1,105,689,228 → 1,842,815,604 → 3,080,872,844 → 3,190,904,416 → 3,988,631,024 — unresolved within range

Continued fraction of √n

√472,332 = [687; (3, 1, 3, 1, 2, 36, 1, 3, 1, 3, 1, 1, 1, 1, 5, 2, 4, 7, 4, 15, 2, 1, 1, 1, …)]

Representations

In words: four hundred seventy-two thousand three hundred thirty-two
Ordinal: 472332nd
Binary: 1110011010100001100
Octal: 1632414
Hexadecimal: 0x7350C
Base64: BzUM
One's complement: 4,294,494,963 (32-bit)
Scientific notation: 4.72332 × 10⁵
As a duration: 472,332 s = 5 days, 11 hours, 12 minutes, 12 seconds

In other bases

ternary (3) 212222220210

quaternary (4) 1303110030

quinary (5) 110103312

senary (6) 14042420

septenary (7) 4005030

nonary (9) 788823

undecimal (11) 2a2963

duodecimal (12) 1a9410

tridecimal (13) 136cb3

tetradecimal (14) c41c0

pentadecimal (15) 94e3c

As an angle

472,332° = 1,312 × 360° + 12°

12° ≈ 0.209 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹 𒌋𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵υοβτλβʹ
Chinese: 四十七萬二千三百三十二
Chinese (financial): 肆拾柒萬貳仟參佰參拾貳

In other modern scripts

Eastern Arabic ٤٧٢٣٣٢ Devanagari ४७२३३२ Bengali ৪৭২৩৩২ Tamil ௪௭௨௩௩௨ Thai ๔๗๒๓๓๒ Tibetan ༤༧༢༣༣༢ Khmer ៤៧២៣៣២ Lao ໔໗໒໓໓໒ Burmese ၄၇၂၃၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472332, here are decompositions:

13 + 472319 = 472332
23 + 472309 = 472332
31 + 472301 = 472332
43 + 472289 = 472332
59 + 472273 = 472332
71 + 472261 = 472332
79 + 472253 = 472332
83 + 472249 = 472332

Showing the first eight; more decompositions exist.

Hex color

#07350C

RGB(7, 53, 12)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.53.12.

Address: 0.7.53.12
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.53.12

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 472,332 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 US472,332 on Google Patents ↗ Look up on USPTO ↗