Live analysis

470,008

470,008 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.).

470,008 (four hundred seventy thousand eight) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2³ × 7² × 11 × 109. Its proper divisors sum to 658,592, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x72BF8.

Abundant Number Evil Number Happy Number Practical Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

469,996 469,997 469,998 469,999 470,000 470,001 470,002 470,003 470,004 470,005 470,006 470,007 470,008 470,009 470,010 470,011 470,012 470,013 470,014 470,015 470,016 470,017 470,018 470,019 470,020

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 19
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 19 bits
Reversed: 800,074
Square (n²): 220,907,520,064
Cube (n³): 103,828,301,690,240,512
Divisor count: 48
σ(n) — sum of divisors: 1,128,600
φ(n) — Euler's totient: 181,440
Sum of prime factors: 140

Primality

Prime factorization: 2 ³ × 7 ² × 11 × 109

Nearest primes: 469,993 (−15) · 470,021 (+13)

Divisors & multiples

All divisors (48)

1 · 2 · 4 · 7 · 8 · 11 · 14 · 22 · 28 · 44 · 49 · 56 · 77 · 88 · 98 · 109 · 154 · 196 · 218 · 308 · 392 · 436 · 539 · 616 · 763 · 872 · 1078 · 1199 · 1526 · 2156 · 2398 · 3052 · 4312 · 4796 · 5341 · 6104 · 8393 · 9592 · 10682 · 16786 · 21364 · 33572 · 42728 · 58751 · 67144 · 117502 · 235004 (half) · 470008

Aliquot sum (sum of proper divisors): 658,592

Factor pairs (a × b = 470,008)

1 × 470008

2 × 235004

4 × 117502

7 × 67144

8 × 58751

11 × 42728

14 × 33572

22 × 21364

28 × 16786

44 × 10682

49 × 9592

56 × 8393

77 × 6104

88 × 5341

98 × 4796

109 × 4312

154 × 3052

196 × 2398

218 × 2156

308 × 1526

392 × 1199

436 × 1078

539 × 872

616 × 763

First multiples

470,008 · 940,016 (double) · 1,410,024 · 1,880,032 · 2,350,040 · 2,820,048 · 3,290,056 · 3,760,064 · 4,230,072 · 4,700,080

Sums & aliquot sequence

As consecutive integers: 67,141 + 67,142 + … + 67,147 42,723 + 42,724 + … + 42,733 29,368 + 29,369 + … + 29,383 9,568 + 9,569 + … + 9,616

Aliquot sequence: 470,008 → 658,592 → 756,640 → 1,031,300 → 1,206,838 → 645,650 → 591,250 → 645,854 → 446,242 → 226,094 → 154,066 → 105,134 → 52,570 → 55,718 → 34,330 → 27,482 → 23,590 — unresolved within range

Continued fraction of √n

√470,008 = [685; (1, 1, 3, 152, 15, 1, 3, 16, 1, 2, 15, 2, 2, 1, 1, 1, 3, 2, 1, 2, 1, 2, 1, 1, …)]

Representations

In words: four hundred seventy thousand eight
Ordinal: 470008th
Binary: 1110010101111111000
Octal: 1625770
Hexadecimal: 0x72BF8
Base64: Byv4
One's complement: 4,294,497,287 (32-bit)
Scientific notation: 4.70008 × 10⁵
As a duration: 470,008 s = 5 days, 10 hours, 33 minutes, 28 seconds

In other bases

ternary (3) 212212201201

quaternary (4) 1302233320

quinary (5) 110020013

senary (6) 14023544

septenary (7) 3665200

nonary (9) 785651

undecimal (11) 2a1140

duodecimal (12) 1a7bb4

tridecimal (13) 135c16

tetradecimal (14) c3400

pentadecimal (15) 943dd

As an angle

470,008° = 1,305 × 360° + 208°

208° ≈ 3.63 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵υοηʹ
Chinese: 四十七萬零八
Chinese (financial): 肆拾柒萬零捌

In other modern scripts

Eastern Arabic ٤٧٠٠٠٨ Devanagari ४७०००८ Bengali ৪৭০০০৮ Tamil ௪௭௦௦௦௮ Thai ๔๗๐๐๐๘ Tibetan ༤༧༠༠༠༨ Khmer ៤៧០០០៨ Lao ໔໗໐໐໐໘ Burmese ၄၇၀၀၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 470008, here are decompositions:

29 + 469979 = 470008
89 + 469919 = 470008
101 + 469907 = 470008
131 + 469877 = 470008
167 + 469841 = 470008
197 + 469811 = 470008
239 + 469769 = 470008
251 + 469757 = 470008

Showing the first eight; more decompositions exist.

Hex color

#072BF8

RGB(7, 43, 248)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.43.248.

Address: 0.7.43.248
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.43.248

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 470,008 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 US470,008 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 470008 first appears in π at position 257,334 of the decimal expansion (the 257,334ordinal-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 470008 on Pi Search ↗