Live analysis

471,400

471,400 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.).

471,400 (four hundred seventy-one thousand four hundred) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2³ × 5² × 2,357. Its proper divisors sum to 625,070, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73168.

Abundant Number Gapful Number Happy Number Odious Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

471,388 471,389 471,390 471,391 471,392 471,393 471,394 471,395 471,396 471,397 471,398 471,399 471,400 471,401 471,402 471,403 471,404 471,405 471,406 471,407 471,408 471,409 471,410 471,411 471,412

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 16
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 19 bits
Reversed: 4,174
Square (n²): 222,217,960,000
Cube (n³): 104,753,546,344,000,000
Divisor count: 24
σ(n) — sum of divisors: 1,096,470
φ(n) — Euler's totient: 188,480
Sum of prime factors: 2,373

Primality

Prime factorization: 2 ³ × 5 ² × 2357

Nearest primes: 471,391 (−9) · 471,403 (+3)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 5 · 8 · 10 · 20 · 25 · 40 · 50 · 100 · 200 · 2357 · 4714 · 9428 · 11785 · 18856 · 23570 · 47140 · 58925 · 94280 · 117850 · 235700 (half) · 471400

Aliquot sum (sum of proper divisors): 625,070

Factor pairs (a × b = 471,400)

1 × 471400

2 × 235700

4 × 117850

5 × 94280

8 × 58925

10 × 47140

20 × 23570

25 × 18856

40 × 11785

50 × 9428

100 × 4714

200 × 2357

First multiples

471,400 · 942,800 (double) · 1,414,200 · 1,885,600 · 2,357,000 · 2,828,400 · 3,299,800 · 3,771,200 · 4,242,600 · 4,714,000

Sums & aliquot sequence

As a sum of two squares: 150² + 670² = 282² + 626² = 446² + 522²

As consecutive integers: 94,278 + 94,279 + 94,280 + 94,281 + 94,282 29,455 + 29,456 + … + 29,470 18,844 + 18,845 + … + 18,868 5,853 + 5,854 + … + 5,932

Aliquot sequence: 471,400 → 625,070 → 500,074 → 250,040 → 441,160 → 579,440 → 767,944 → 697,256 → 796,984 → 697,376 → 834,784 → 896,456 → 978,424 → 1,012,376 → 885,844 → 664,390 → 589,850 — unresolved within range

Continued fraction of √n

√471,400 = [686; (1, 1, 2, 2, 2, 2, 4, 1, 1, 32, 1, 15, 1, 56, 3, 1, 1, 1, 4, 3, 1, 1, 43, 1, …)]

Representations

In words: four hundred seventy-one thousand four hundred
Ordinal: 471400th
Binary: 1110011000101101000
Octal: 1630550
Hexadecimal: 0x73168
Base64: BzFo
One's complement: 4,294,495,895 (32-bit)
Scientific notation: 4.714 × 10⁵
As a duration: 471,400 s = 5 days, 10 hours, 56 minutes, 40 seconds

In other bases

ternary (3) 212221122021

quaternary (4) 1303011220

quinary (5) 110041100

senary (6) 14034224

septenary (7) 4002226

nonary (9) 787567

undecimal (11) 2a2196

duodecimal (12) 1a8974

tridecimal (13) 136747

tetradecimal (14) c3b16

pentadecimal (15) 94a1a

As an angle

471,400° = 1,309 × 360° + 160°

160° ≈ 2.793 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢
Greek (Milesian): ͵υοαυʹ
Chinese: 四十七萬一千四百
Chinese (financial): 肆拾柒萬壹仟肆佰

In other modern scripts

Eastern Arabic ٤٧١٤٠٠ Devanagari ४७१४०० Bengali ৪৭১৪০০ Tamil ௪௭௧௪௦௦ Thai ๔๗๑๔๐๐ Tibetan ༤༧༡༤༠༠ Khmer ៤៧១៤០០ Lao ໔໗໑໔໐໐ Burmese ၄၇၁၄၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 471400, here are decompositions:

11 + 471389 = 471400
47 + 471353 = 471400
101 + 471299 = 471400
191 + 471209 = 471400
227 + 471173 = 471400
239 + 471161 = 471400
263 + 471137 = 471400
311 + 471089 = 471400

Showing the first eight; more decompositions exist.

Hex color

#073168

RGB(7, 49, 104)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.49.104.

Address: 0.7.49.104
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.49.104

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 471,400 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 US471,400 on Google Patents ↗ Look up on USPTO ↗