Live analysis

470,004

470,004 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.).

470,004 (four hundred seventy thousand four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 53 × 739. Its proper divisors sum to 648,876, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x72BF4.

Abundant Number Arithmetic Number Cube-Free Evil Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

469,992 469,993 469,994 469,995 469,996 469,997 469,998 469,999 470,000 470,001 470,002 470,003 470,004 470,005 470,006 470,007 470,008 470,009 470,010 470,011 470,012 470,013 470,014 470,015 470,016

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 19 bits
Reversed: 400,074
Square (n²): 220,903,760,016
Cube (n³): 103,825,650,822,560,064
Divisor count: 24
σ(n) — sum of divisors: 1,118,880
φ(n) — Euler's totient: 153,504
Sum of prime factors: 799

Primality

Prime factorization: 2 ² × 3 × 53 × 739

Nearest primes: 469,993 (−11) · 470,021 (+17)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 12 · 53 · 106 · 159 · 212 · 318 · 636 · 739 · 1478 · 2217 · 2956 · 4434 · 8868 · 39167 · 78334 · 117501 · 156668 · 235002 (half) · 470004

Aliquot sum (sum of proper divisors): 648,876

Factor pairs (a × b = 470,004)

1 × 470004

2 × 235002

3 × 156668

4 × 117501

6 × 78334

12 × 39167

53 × 8868

106 × 4434

159 × 2956

212 × 2217

318 × 1478

636 × 739

First multiples

470,004 · 940,008 (double) · 1,410,012 · 1,880,016 · 2,350,020 · 2,820,024 · 3,290,028 · 3,760,032 · 4,230,036 · 4,700,040

Sums & aliquot sequence

As consecutive integers: 156,667 + 156,668 + 156,669 58,747 + 58,748 + … + 58,754 19,572 + 19,573 + … + 19,595 8,842 + 8,843 + … + 8,894

Aliquot sequence: 470,004 → 648,876 → 931,668 → 1,370,604 → 1,827,500 → 2,502,364 → 1,876,780 → 2,105,828 → 1,642,252 → 1,268,628 → 1,735,212 → 2,490,324 → 3,366,156 → 4,488,236 → 3,384,076 → 2,609,996 → 1,957,504 — unresolved within range

Continued fraction of √n

√470,004 = [685; (1, 1, 3, 6, 2, 2, 14, 36, 1, 84, 1, 2, 1, 1, 1, 1, 3, 4, 6, 4, 3, 1, 1, 1, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words: four hundred seventy thousand four
Ordinal: 470004th
Binary: 1110010101111110100
Octal: 1625764
Hexadecimal: 0x72BF4
Base64: Byv0
One's complement: 4,294,497,291 (32-bit)
Scientific notation: 4.70004 × 10⁵
As a duration: 470,004 s = 5 days, 10 hours, 33 minutes, 24 seconds

In other bases

ternary (3) 212212201120

quaternary (4) 1302233310

quinary (5) 110020004

senary (6) 14023540

septenary (7) 3665163

nonary (9) 785646

undecimal (11) 2a1137

duodecimal (12) 1a7bb0

tridecimal (13) 135c12

tetradecimal (14) c33da

pentadecimal (15) 943d9

As an angle

470,004° = 1,305 × 360° + 204°

204° ≈ 3.56 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓏺𓏺𓏺𓏺
Greek (Milesian): ͵υοδʹ
Chinese: 四十七萬零四
Chinese (financial): 肆拾柒萬零肆

In other modern scripts

Eastern Arabic ٤٧٠٠٠٤ Devanagari ४७०००४ Bengali ৪৭০০০৪ Tamil ௪௭௦௦௦௪ Thai ๔๗๐๐๐๔ Tibetan ༤༧༠༠༠༤ Khmer ៤៧០០០៤ Lao ໔໗໐໐໐໔ Burmese ၄၇၀၀၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 470004, here are decompositions:

11 + 469993 = 470004
47 + 469957 = 470004
97 + 469907 = 470004
113 + 469891 = 470004
127 + 469877 = 470004
163 + 469841 = 470004
181 + 469823 = 470004
193 + 469811 = 470004

Showing the first eight; more decompositions exist.

Hex color

#072BF4

RGB(7, 43, 244)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.43.244.

Address: 0.7.43.244
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.43.244

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 470,004 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 US470,004 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 470004 first appears in π at position 661,430 of the decimal expansion (the 661,430ordinal-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 470004 on Pi Search ↗