Live analysis

472,002

472,002 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.).

472,002 (four hundred seventy-two thousand two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 97 × 811. Its proper divisors sum to 482,910, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x733C2.

Abundant Number Arithmetic Number Cube-Free Evil Number Semiperfect Number Squarefree

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

471,990 471,991 471,992 471,993 471,994 471,995 471,996 471,997 471,998 471,999 472,000 472,001 472,002 472,003 472,004 472,005 472,006 472,007 472,008 472,009 472,010 472,011 472,012 472,013 472,014

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 19 bits
Reversed: 200,274
Square (n²): 222,785,888,004
Cube (n³): 105,155,384,709,664,008
Divisor count: 16
σ(n) — sum of divisors: 954,912
φ(n) — Euler's totient: 155,520
Sum of prime factors: 913

Primality

Prime factorization: 2 × 3 × 97 × 811

Nearest primes: 471,997 (−5) · 472,019 (+17)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 6 · 97 · 194 · 291 · 582 · 811 · 1622 · 2433 · 4866 · 78667 · 157334 · 236001 (half) · 472002

Aliquot sum (sum of proper divisors): 482,910

Factor pairs (a × b = 472,002)

1 × 472002

2 × 236001

3 × 157334

6 × 78667

97 × 4866

194 × 2433

291 × 1622

582 × 811

First multiples

472,002 · 944,004 (double) · 1,416,006 · 1,888,008 · 2,360,010 · 2,832,012 · 3,304,014 · 3,776,016 · 4,248,018 · 4,720,020

Sums & aliquot sequence

As consecutive integers: 157,333 + 157,334 + 157,335 117,999 + 118,000 + 118,001 + 118,002 39,328 + 39,329 + … + 39,339 4,818 + 4,819 + … + 4,914

Aliquot sequence: 472,002 → 482,910 → 676,146 → 676,158 → 961,986 → 991,518 → 1,209,954 → 1,220,766 → 1,220,778 → 1,843,542 → 2,450,826 → 3,749,238 → 4,374,150 → 7,599,042 → 10,978,398 → 12,808,170 → 21,053,502 — unresolved within range

Continued fraction of √n

√472,002 = [687; (41, 1, 1, 1, 3, 11, 12, 14, 12, 11, 3, 1, 1, 1, 41, 1374)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words: four hundred seventy-two thousand two
Ordinal: 472002nd
Binary: 1110011001111000010
Octal: 1631702
Hexadecimal: 0x733C2
Base64: BzPC
One's complement: 4,294,495,293 (32-bit)
Scientific notation: 4.72002 × 10⁵
As a duration: 472,002 s = 5 days, 11 hours, 6 minutes, 42 seconds

In other bases

ternary (3) 212222110120

quaternary (4) 1303033002

quinary (5) 110101002

senary (6) 14041110

septenary (7) 4004046

nonary (9) 788416

undecimal (11) 2a2693

duodecimal (12) 1a9196

tridecimal (13) 136abb

tetradecimal (14) c4026

pentadecimal (15) 94cbc

As an angle

472,002° = 1,311 × 360° + 42°

42° ≈ 0.733 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓏺𓏺
Greek (Milesian): ͵υοββʹ
Chinese: 四十七萬二千零二
Chinese (financial): 肆拾柒萬貳仟零貳

In other modern scripts

Eastern Arabic ٤٧٢٠٠٢ Devanagari ४७२००२ Bengali ৪৭২০০২ Tamil ௪௭௨௦௦௨ Thai ๔๗๒๐๐๒ Tibetan ༤༧༢༠༠༢ Khmer ៤៧២០០២ Lao ໔໗໒໐໐໒ Burmese ၄၇၂၀၀၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472002, here are decompositions:

5 + 471997 = 472002
43 + 471959 = 472002
53 + 471949 = 472002
59 + 471943 = 472002
71 + 471931 = 472002
73 + 471929 = 472002
79 + 471923 = 472002
101 + 471901 = 472002

Showing the first eight; more decompositions exist.

Hex color

#0733C2

RGB(7, 51, 194)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.51.194.

Address: 0.7.51.194
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.51.194

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 472,002 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 US472,002 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 472002 first appears in π at position 503,383 of the decimal expansion (the 503,383ordinal-suffix:rd 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 472002 on Pi Search ↗