Live analysis

472,004

472,004 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.).

472,004 (four hundred seventy-two thousand four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 13 × 29 × 313. Written other ways, in hexadecimal, 0x733C4.

Arithmetic Number Cube-Free Deficient Number Evil Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

471,992 471,993 471,994 471,995 471,996 471,997 471,998 471,999 472,000 472,001 472,002 472,003 472,004 472,005 472,006 472,007 472,008 472,009 472,010 472,011 472,012 472,013 472,014 472,015 472,016

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Properties

Parity: Even
Digit count: 6
Digit sum: 17
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 19 bits
Reversed: 400,274
Square (n²): 222,787,776,016
Cube (n³): 105,156,721,430,656,064
Divisor count: 24
σ(n) — sum of divisors: 923,160
φ(n) — Euler's totient: 209,664
Sum of prime factors: 359

Primality

Prime factorization: 2 ² × 13 × 29 × 313

Nearest primes: 471,997 (−7) · 472,019 (+15)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 13 · 26 · 29 · 52 · 58 · 116 · 313 · 377 · 626 · 754 · 1252 · 1508 · 4069 · 8138 · 9077 · 16276 · 18154 · 36308 · 118001 · 236002 (half) · 472004

Aliquot sum (sum of proper divisors): 451,156

Factor pairs (a × b = 472,004)

1 × 472004

2 × 236002

4 × 118001

13 × 36308

26 × 18154

29 × 16276

52 × 9077

58 × 8138

116 × 4069

313 × 1508

377 × 1252

626 × 754

First multiples

472,004 · 944,008 (double) · 1,416,012 · 1,888,016 · 2,360,020 · 2,832,024 · 3,304,028 · 3,776,032 · 4,248,036 · 4,720,040

Sums & aliquot sequence

As a sum of two squares: 98² + 680² = 152² + 670² = 352² + 590² = 398² + 560²

As consecutive integers: 58,997 + 58,998 + … + 59,004 36,302 + 36,303 + … + 36,314 16,262 + 16,263 + … + 16,290 4,487 + 4,488 + … + 4,590

Aliquot sequence: 472,004 → 451,156 → 370,406 → 189,034 → 100,694 → 72,106 → 39,638 → 19,822 → 15,170 → 13,558 → 6,782 → 3,394 → 1,700 → 2,206 → 1,106 → 814 → 554 — unresolved within range

Continued fraction of √n

√472,004 = [687; (39, 3, 1, 7, 5, 4, 5, 7, 1, 3, 39, 1374)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words: four hundred seventy-two thousand four
Ordinal: 472004th
Binary: 1110011001111000100
Octal: 1631704
Hexadecimal: 0x733C4
Base64: BzPE
One's complement: 4,294,495,291 (32-bit)
Scientific notation: 4.72004 × 10⁵
As a duration: 472,004 s = 5 days, 11 hours, 6 minutes, 44 seconds

In other bases

ternary (3) 212222110122

quaternary (4) 1303033010

quinary (5) 110101004

senary (6) 14041112

septenary (7) 4004051

nonary (9) 788418

undecimal (11) 2a2695

duodecimal (12) 1a9198

tridecimal (13) 136ac0

tetradecimal (14) c4028

pentadecimal (15) 94cbe

As an angle

472,004° = 1,311 × 360° + 44°

44° ≈ 0.768 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓏺𓏺𓏺𓏺
Greek (Milesian): ͵υοβδʹ
Chinese: 四十七萬二千零四
Chinese (financial): 肆拾柒萬貳仟零肆

In other modern scripts

Eastern Arabic ٤٧٢٠٠٤ Devanagari ४७२००४ Bengali ৪৭২০০৪ Tamil ௪௭௨௦௦௪ Thai ๔๗๒๐๐๔ Tibetan ༤༧༢༠༠༤ Khmer ៤៧២០០៤ Lao ໔໗໒໐໐໔ Burmese ၄၇၂၀၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472004, here are decompositions:

7 + 471997 = 472004
61 + 471943 = 472004
73 + 471931 = 472004
97 + 471907 = 472004
103 + 471901 = 472004
151 + 471853 = 472004
157 + 471847 = 472004
163 + 471841 = 472004

Showing the first eight; more decompositions exist.

Hex color

#0733C4

RGB(7, 51, 196)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.51.196.

Address: 0.7.51.196
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.51.196

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 472,004 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 US472,004 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 472004 first appears in π at position 19,025 of the decimal expansion (the 19,025ordinal-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 472004 on Pi Search ↗