Live analysis

471,972

471,972 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.).

471,972 (four hundred seventy-one thousand nine hundred seventy-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 37 × 1,063. Its proper divisors sum to 660,124, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x733A4.

Abundant Number Cube-Free Evil Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

471,960 471,961 471,962 471,963 471,964 471,965 471,966 471,967 471,968 471,969 471,970 471,971 471,972 471,973 471,974 471,975 471,976 471,977 471,978 471,979 471,980 471,981 471,982 471,983 471,984

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Properties

Parity: Even
Digit count: 6
Digit sum: 30
Digit product: 3,528
Digital root: 3
Palindrome: No
Bit width: 19 bits
Reversed: 279,174
Square (n²): 222,757,568,784
Cube (n³): 105,135,335,254,122,048
Divisor count: 24
σ(n) — sum of divisors: 1,132,096
φ(n) — Euler's totient: 152,928
Sum of prime factors: 1,107

Primality

Prime factorization: 2 ² × 3 × 37 × 1063

Nearest primes: 471,959 (−13) · 471,997 (+25)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 12 · 37 · 74 · 111 · 148 · 222 · 444 · 1063 · 2126 · 3189 · 4252 · 6378 · 12756 · 39331 · 78662 · 117993 · 157324 · 235986 (half) · 471972

Aliquot sum (sum of proper divisors): 660,124

Factor pairs (a × b = 471,972)

1 × 471972

2 × 235986

3 × 157324

4 × 117993

6 × 78662

12 × 39331

37 × 12756

74 × 6378

111 × 4252

148 × 3189

222 × 2126

444 × 1063

First multiples

471,972 · 943,944 (double) · 1,415,916 · 1,887,888 · 2,359,860 · 2,831,832 · 3,303,804 · 3,775,776 · 4,247,748 · 4,719,720

Sums & aliquot sequence

As consecutive integers: 157,323 + 157,324 + 157,325 58,993 + 58,994 + … + 59,000 19,654 + 19,655 + … + 19,677 12,738 + 12,739 + … + 12,774

Aliquot sequence: 471,972 → 660,124 → 510,276 → 772,348 → 585,932 → 477,760 → 660,668 → 556,492 → 417,376 → 404,396 → 386,884 → 292,347 → 168,477 → 59,043 → 19,685 → 4,891 → 141 — unresolved within range

Continued fraction of √n

√471,972 = [687; (458, 1374)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: four hundred seventy-one thousand nine hundred seventy-two
Ordinal: 471972nd
Binary: 1110011001110100100
Octal: 1631644
Hexadecimal: 0x733A4
Base64: BzOk
One's complement: 4,294,495,323 (32-bit)
Scientific notation: 4.71972 × 10⁵
As a duration: 471,972 s = 5 days, 11 hours, 6 minutes, 12 seconds

In other bases

ternary (3) 212222102110

quaternary (4) 1303032210

quinary (5) 110100342

senary (6) 14041020

septenary (7) 4004004

nonary (9) 788373

undecimal (11) 2a2666

duodecimal (12) 1a9170

tridecimal (13) 136a97

tetradecimal (14) c4004

pentadecimal (15) 94c9c

Palindromic in base 7

As an angle

471,972° = 1,311 × 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 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵υοαϡοβʹ
Chinese: 四十七萬一千九百七十二
Chinese (financial): 肆拾柒萬壹仟玖佰柒拾貳

In other modern scripts

Eastern Arabic ٤٧١٩٧٢ Devanagari ४७१९७२ Bengali ৪৭১৯৭২ Tamil ௪௭௧௯௭௨ Thai ๔๗๑๙๗๒ Tibetan ༤༧༡༩༧༢ Khmer ៤៧១៩៧២ Lao ໔໗໑໙໗໒ Burmese ၄၇၁၉၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 471972, here are decompositions:

13 + 471959 = 471972
23 + 471949 = 471972
29 + 471943 = 471972
41 + 471931 = 471972
43 + 471929 = 471972
71 + 471901 = 471972
79 + 471893 = 471972
101 + 471871 = 471972

Showing the first eight; more decompositions exist.

Hex color

#0733A4

RGB(7, 51, 164)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.51.164.

Address: 0.7.51.164
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.51.164

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 471,972 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 US471,972 on Google Patents ↗ Look up on USPTO ↗