Live analysis

472,006

472,006 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.).

472,006 (four hundred seventy-two thousand six) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 23 × 31 × 331. Written other ways, in hexadecimal, 0x733C6.

Arithmetic Number Cube-Free Deficient Number Gapful Number Odious Number Pernicious Number Squarefree

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

471,994 471,995 471,996 471,997 471,998 471,999 472,000 472,001 472,002 472,003 472,004 472,005 472,006 472,007 472,008 472,009 472,010 472,011 472,012 472,013 472,014 472,015 472,016 472,017 472,018

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 19
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 19 bits
Reversed: 600,274
Square (n²): 222,789,664,036
Cube (n³): 105,158,058,162,976,216
Divisor count: 16
σ(n) — sum of divisors: 764,928
φ(n) — Euler's totient: 217,800
Sum of prime factors: 387

Primality

Prime factorization: 2 × 23 × 31 × 331

Nearest primes: 471,997 (−9) · 472,019 (+13)

Divisors & multiples

All divisors (16)

1 · 2 · 23 · 31 · 46 · 62 · 331 · 662 · 713 · 1426 · 7613 · 10261 · 15226 · 20522 · 236003 (half) · 472006

Aliquot sum (sum of proper divisors): 292,922

Factor pairs (a × b = 472,006)

1 × 472006

2 × 236003

23 × 20522

31 × 15226

46 × 10261

62 × 7613

331 × 1426

662 × 713

First multiples

472,006 · 944,012 (double) · 1,416,018 · 1,888,024 · 2,360,030 · 2,832,036 · 3,304,042 · 3,776,048 · 4,248,054 · 4,720,060

Sums & aliquot sequence

As consecutive integers: 118,000 + 118,001 + 118,002 + 118,003 20,511 + 20,512 + … + 20,533 15,211 + 15,212 + … + 15,241 5,085 + 5,086 + … + 5,176

Aliquot sequence: 472,006 → 292,922 → 228,064 → 221,000 → 368,680 → 525,920 → 789,520 → 1,085,360 → 1,438,288 → 1,367,460 → 2,878,236 → 4,826,916 → 7,374,546 → 9,445,374 → 11,019,642 → 11,606,598 → 14,630,202 — unresolved within range

Continued fraction of √n

√472,006 = [687; (37, 7, 2, 1, 3, 2, 4, 152, 2, 4, 3, 1, 9, 2, 2, 2, 3, 1, 3, 1, 2, 16, 1, 1, …)]

Representations

In words: four hundred seventy-two thousand six
Ordinal: 472006th
Binary: 1110011001111000110
Octal: 1631706
Hexadecimal: 0x733C6
Base64: BzPG
One's complement: 4,294,495,289 (32-bit)
Scientific notation: 4.72006 × 10⁵
As a duration: 472,006 s = 5 days, 11 hours, 6 minutes, 46 seconds

In other bases

ternary (3) 212222110201

quaternary (4) 1303033012

quinary (5) 110101011

senary (6) 14041114

septenary (7) 4004053

nonary (9) 788421

undecimal (11) 2a2697

duodecimal (12) 1a919a

tridecimal (13) 136ac2

tetradecimal (14) c402a

pentadecimal (15) 94cc1

Palindromic in base 5

As an angle

472,006° = 1,311 × 360° + 46°

46° ≈ 0.803 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵υοβϛʹ
Chinese: 四十七萬二千零六
Chinese (financial): 肆拾柒萬貳仟零陸

In other modern scripts

Eastern Arabic ٤٧٢٠٠٦ Devanagari ४७२००६ Bengali ৪৭২০০৬ Tamil ௪௭௨௦௦௬ Thai ๔๗๒๐๐๖ Tibetan ༤༧༢༠༠༦ Khmer ៤៧២០០៦ Lao ໔໗໒໐໐໖ Burmese ၄၇၂၀၀၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472006, here are decompositions:

47 + 471959 = 472006
83 + 471923 = 472006
113 + 471893 = 472006
257 + 471749 = 472006
347 + 471659 = 472006
389 + 471617 = 472006
467 + 471539 = 472006
503 + 471503 = 472006

Showing the first eight; more decompositions exist.

Hex color

#0733C6

RGB(7, 51, 198)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.51.198.

Address: 0.7.51.198
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.51.198

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 472,006 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 US472,006 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 472006 first appears in π at position 361,538 of the decimal expansion (the 361,538ordinal-suffix:th 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 472006 on Pi Search ↗