Live analysis

473,172

473,172 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.).

473,172 (four hundred seventy-three thousand one hundred seventy-two) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 7 × 43 × 131. Its proper divisors sum to 827,820, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73854.

Abundant Number Arithmetic Number Cube-Free Gapful Number Odious Number Practical Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

473,160 473,161 473,162 473,163 473,164 473,165 473,166 473,167 473,168 473,169 473,170 473,171 473,172 473,173 473,174 473,175 473,176 473,177 473,178 473,179 473,180 473,181 473,182 473,183 473,184

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Properties

Parity: Even
Digit count: 6
Digit sum: 24
Digit product: 1,176
Digital root: 6
Palindrome: No
Bit width: 19 bits
Reversed: 271,374
Square (n²): 223,891,741,584
Cube (n³): 105,939,303,148,784,448
Divisor count: 48
σ(n) — sum of divisors: 1,300,992
φ(n) — Euler's totient: 131,040
Sum of prime factors: 188

Primality

Prime factorization: 2 ² × 3 × 7 × 43 × 131

Nearest primes: 473,167 (−5) · 473,173 (+1)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 6 · 7 · 12 · 14 · 21 · 28 · 42 · 43 · 84 · 86 · 129 · 131 · 172 · 258 · 262 · 301 · 393 · 516 · 524 · 602 · 786 · 903 · 917 · 1204 · 1572 · 1806 · 1834 · 2751 · 3612 · 3668 · 5502 · 5633 · 11004 · 11266 · 16899 · 22532 · 33798 · 39431 · 67596 · 78862 · 118293 · 157724 · 236586 (half) · 473172

Aliquot sum (sum of proper divisors): 827,820

Factor pairs (a × b = 473,172)

1 × 473172

2 × 236586

3 × 157724

4 × 118293

6 × 78862

7 × 67596

12 × 39431

14 × 33798

21 × 22532

28 × 16899

42 × 11266

43 × 11004

84 × 5633

86 × 5502

129 × 3668

131 × 3612

172 × 2751

258 × 1834

262 × 1806

301 × 1572

393 × 1204

516 × 917

524 × 903

602 × 786

First multiples

473,172 · 946,344 (double) · 1,419,516 · 1,892,688 · 2,365,860 · 2,839,032 · 3,312,204 · 3,785,376 · 4,258,548 · 4,731,720

Sums & aliquot sequence

As consecutive integers: 157,723 + 157,724 + 157,725 67,593 + 67,594 + … + 67,599 59,143 + 59,144 + … + 59,150 22,522 + 22,523 + … + 22,542

Aliquot sequence: 473,172 → 827,820 → 2,180,724 → 4,085,004 → 7,801,332 → 14,896,140 → 34,455,540 → 75,803,532 → 129,371,508 → 245,694,092 → 292,604,788 → 323,406,412 → 325,503,668 → 372,012,172 → 411,172,468 → 441,016,716 → 748,262,004 — unresolved within range

Continued fraction of √n

√473,172 = [687; (1, 6, 1, 1374)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: four hundred seventy-three thousand one hundred seventy-two
Ordinal: 473172nd
Binary: 1110011100001010100
Octal: 1634124
Hexadecimal: 0x73854
Base64: BzhU
One's complement: 4,294,494,123 (32-bit)
Scientific notation: 4.73172 × 10⁵
As a duration: 473,172 s = 5 days, 11 hours, 26 minutes, 12 seconds

In other bases

ternary (3) 220001001220

quaternary (4) 1303201110

quinary (5) 110120142

senary (6) 14050340

septenary (7) 4010340

nonary (9) 801056

undecimal (11) 2a3557

duodecimal (12) 1a99b0

tridecimal (13) 1374ab

tetradecimal (14) c4620

pentadecimal (15) 952ec

As an angle

473,172° = 1,314 × 360° + 132°

132° ≈ 2.304 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵υογροβʹ
Chinese: 四十七萬三千一百七十二
Chinese (financial): 肆拾柒萬參仟壹佰柒拾貳

In other modern scripts

Eastern Arabic ٤٧٣١٧٢ Devanagari ४७३१७२ Bengali ৪৭৩১৭২ Tamil ௪௭௩௧௭௨ Thai ๔๗๓๑๗๒ Tibetan ༤༧༣༡༧༢ Khmer ៤៧៣១៧២ Lao ໔໗໓໑໗໒ Burmese ၄၇၃၁၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 473172, here are decompositions:

5 + 473167 = 473172
13 + 473159 = 473172
31 + 473141 = 473172
71 + 473101 = 473172
83 + 473089 = 473172
151 + 473021 = 473172
163 + 473009 = 473172
179 + 472993 = 473172

Showing the first eight; more decompositions exist.

Hex color

#073854

RGB(7, 56, 84)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.56.84.

Address: 0.7.56.84
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.56.84

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 473,172 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 US473,172 on Google Patents ↗ Look up on USPTO ↗