Live analysis

472,008

472,008 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.).

472,008 (four hundred seventy-two thousand eight) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 71 × 277. Its proper divisors sum to 728,952, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x733C8.

Abundant Number Arithmetic Number Evil Number Happy Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

471,996 471,997 471,998 471,999 472,000 472,001 472,002 472,003 472,004 472,005 472,006 472,007 472,008 472,009 472,010 472,011 472,012 472,013 472,014 472,015 472,016 472,017 472,018 472,019 472,020

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 21
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 19 bits
Reversed: 800,274
Square (n²): 222,791,552,064
Cube (n³): 105,159,394,906,624,512
Divisor count: 32
σ(n) — sum of divisors: 1,200,960
φ(n) — Euler's totient: 154,560
Sum of prime factors: 357

Primality

Prime factorization: 2 ³ × 3 × 71 × 277

Nearest primes: 471,997 (−11) · 472,019 (+11)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 24 · 71 · 142 · 213 · 277 · 284 · 426 · 554 · 568 · 831 · 852 · 1108 · 1662 · 1704 · 2216 · 3324 · 6648 · 19667 · 39334 · 59001 · 78668 · 118002 · 157336 · 236004 (half) · 472008

Aliquot sum (sum of proper divisors): 728,952

Factor pairs (a × b = 472,008)

1 × 472008

2 × 236004

3 × 157336

4 × 118002

6 × 78668

8 × 59001

12 × 39334

24 × 19667

71 × 6648

142 × 3324

213 × 2216

277 × 1704

284 × 1662

426 × 1108

554 × 852

568 × 831

First multiples

472,008 · 944,016 (double) · 1,416,024 · 1,888,032 · 2,360,040 · 2,832,048 · 3,304,056 · 3,776,064 · 4,248,072 · 4,720,080

Sums & aliquot sequence

As consecutive integers: 157,335 + 157,336 + 157,337 29,493 + 29,494 + … + 29,508 9,810 + 9,811 + … + 9,857 6,613 + 6,614 + … + 6,683

Aliquot sequence: 472,008 → 728,952 → 1,354,248 → 2,839,032 → 6,221,448 → 11,206,182 → 12,930,378 → 13,611,702 → 15,993,258 → 16,093,878 → 16,093,890 → 28,721,790 → 49,947,570 → 87,860,430 → 195,315,570 → 325,526,670 → 641,754,450 — unresolved within range

Continued fraction of √n

√472,008 = [687; (35, 4, 3, 7, 1, 4, 1, 1, 1, 3, 3, 3, 5, 4, 4, 1, 28, 2, 2, 1, 7, 1, 1, 1, …)]

Period length 58 — the block in parentheses repeats forever.

Representations

In words: four hundred seventy-two thousand eight
Ordinal: 472008th
Binary: 1110011001111001000
Octal: 1631710
Hexadecimal: 0x733C8
Base64: BzPI
One's complement: 4,294,495,287 (32-bit)
Scientific notation: 4.72008 × 10⁵
As a duration: 472,008 s = 5 days, 11 hours, 6 minutes, 48 seconds

In other bases

ternary (3) 212222110210

quaternary (4) 1303033020

quinary (5) 110101013

senary (6) 14041120

septenary (7) 4004055

nonary (9) 788423

undecimal (11) 2a2699

duodecimal (12) 1a91a0

tridecimal (13) 136ac4

tetradecimal (14) c402c

pentadecimal (15) 94cc3

As an angle

472,008° = 1,311 × 360° + 48°

48° ≈ 0.838 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵υοβηʹ
Chinese: 四十七萬二千零八
Chinese (financial): 肆拾柒萬貳仟零捌

In other modern scripts

Eastern Arabic ٤٧٢٠٠٨ Devanagari ४७२००८ Bengali ৪৭২০০৮ Tamil ௪௭௨௦௦௮ Thai ๔๗๒๐๐๘ Tibetan ༤༧༢༠༠༨ Khmer ៤៧២០០៨ Lao ໔໗໒໐໐໘ Burmese ၄၇၂၀၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472008, here are decompositions:

11 + 471997 = 472008
59 + 471949 = 472008
79 + 471929 = 472008
101 + 471907 = 472008
107 + 471901 = 472008
137 + 471871 = 472008
167 + 471841 = 472008
191 + 471817 = 472008

Showing the first eight; more decompositions exist.

Hex color

#0733C8

RGB(7, 51, 200)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.51.200.

Address: 0.7.51.200
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.51.200

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 472,008 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 US472,008 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 472008 first appears in π at position 390,252 of the decimal expansion (the 390,252ordinal-suffix:nd digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 472008 on Pi Search ↗