Live analysis

472,112

472,112 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.).

472,112 (four hundred seventy-two thousand one hundred twelve) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 19 × 1,553. Its proper divisors sum to 491,368, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73430.

Abundant Number Arithmetic Number Evil Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

472,100 472,101 472,102 472,103 472,104 472,105 472,106 472,107 472,108 472,109 472,110 472,111 472,112 472,113 472,114 472,115 472,116 472,117 472,118 472,119 472,120 472,121 472,122 472,123 472,124

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Properties

Parity: Even
Digit count: 6
Digit sum: 17
Digit product: 112
Digital root: 8
Palindrome: No
Bit width: 19 bits
Reversed: 211,274
Square (n²): 222,889,740,544
Cube (n³): 105,228,921,187,708,928
Divisor count: 20
σ(n) — sum of divisors: 963,480
φ(n) — Euler's totient: 223,488
Sum of prime factors: 1,580

Primality

Prime factorization: 2 ⁴ × 19 × 1553

Nearest primes: 472,111 (−1) · 472,123 (+11)

Divisors & multiples

All divisors (20)

1 · 2 · 4 · 8 · 16 · 19 · 38 · 76 · 152 · 304 · 1553 · 3106 · 6212 · 12424 · 24848 · 29507 · 59014 · 118028 · 236056 (half) · 472112

Aliquot sum (sum of proper divisors): 491,368

Factor pairs (a × b = 472,112)

1 × 472112

2 × 236056

4 × 118028

8 × 59014

16 × 29507

19 × 24848

38 × 12424

76 × 6212

152 × 3106

304 × 1553

First multiples

472,112 · 944,224 (double) · 1,416,336 · 1,888,448 · 2,360,560 · 2,832,672 · 3,304,784 · 3,776,896 · 4,249,008 · 4,721,120

Sums & aliquot sequence

As consecutive integers: 24,839 + 24,840 + … + 24,857 14,738 + 14,739 + … + 14,769 473 + 474 + … + 1,080

Aliquot sequence: 472,112 → 491,368 → 484,412 → 368,188 → 284,492 → 251,764 → 193,520 → 275,200 → 421,804 → 359,900 → 447,340 → 492,116 → 419,872 → 406,814 → 209,434 → 104,720 → 216,688 — unresolved within range

Continued fraction of √n

√472,112 = [687; (9, 1, 1, 1, 1, 3, 1, 3, 1, 2, 8, 1, 2, 1, 7, 2, 16, 1, 12, 2, 1, 1, 42, 2, …)]

Representations

In words: four hundred seventy-two thousand one hundred twelve
Ordinal: 472112th
Binary: 1110011010000110000
Octal: 1632060
Hexadecimal: 0x73430
Base64: BzQw
One's complement: 4,294,495,183 (32-bit)
Scientific notation: 4.72112 × 10⁵
As a duration: 472,112 s = 5 days, 11 hours, 8 minutes, 32 seconds

In other bases

ternary (3) 212222121122

quaternary (4) 1303100300

quinary (5) 110101422

senary (6) 14041412

septenary (7) 4004264

nonary (9) 788548

undecimal (11) 2a2783

duodecimal (12) 1a9268

tridecimal (13) 136b74

tetradecimal (14) c40a4

pentadecimal (15) 94d42

As an angle

472,112° = 1,311 × 360° + 152°

152° ≈ 2.653 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓎆𓏺𓏺
Greek (Milesian): ͵υοβριβʹ
Chinese: 四十七萬二千一百一十二
Chinese (financial): 肆拾柒萬貳仟壹佰壹拾貳

In other modern scripts

Eastern Arabic ٤٧٢١١٢ Devanagari ४७२११२ Bengali ৪৭২১১২ Tamil ௪௭௨௧௧௨ Thai ๔๗๒๑๑๒ Tibetan ༤༧༢༡༡༢ Khmer ៤៧២១១២ Lao ໔໗໒໑໑໒ Burmese ၄၇၂၁၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472112, here are decompositions:

61 + 472051 = 472112
163 + 471949 = 472112
181 + 471931 = 472112
211 + 471901 = 472112
241 + 471871 = 472112
271 + 471841 = 472112
331 + 471781 = 472112
409 + 471703 = 472112

Showing the first eight; more decompositions exist.

Hex color

#073430

RGB(7, 52, 48)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.52.48.

Address: 0.7.52.48
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.52.48

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 472,112 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 US472,112 on Google Patents ↗ Look up on USPTO ↗