Live analysis

471,264

471,264 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.).

471,264 (four hundred seventy-one thousand two hundred sixty-four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 3 × 4,909. Its proper divisors sum to 766,056, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x730E0.

Abundant Number Arithmetic Number Evil Number Harshad / Niven Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

471,252 471,253 471,254 471,255 471,256 471,257 471,258 471,259 471,260 471,261 471,262 471,263 471,264 471,265 471,266 471,267 471,268 471,269 471,270 471,271 471,272 471,273 471,274 471,275 471,276

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Properties

Parity: Even
Digit count: 6
Digit sum: 24
Digit product: 1,344
Digital root: 6
Palindrome: No
Bit width: 19 bits
Reversed: 462,174
Recamán's sequence: a(136,256) = 471,264
Square (n²): 222,089,757,696
Cube (n³): 104,662,907,570,847,744
Divisor count: 24
σ(n) — sum of divisors: 1,237,320
φ(n) — Euler's totient: 157,056
Sum of prime factors: 4,922

Primality

Prime factorization: 2 ⁵ × 3 × 4909

Nearest primes: 471,259 (−5) · 471,277 (+13)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 32 · 48 · 96 · 4909 · 9818 · 14727 · 19636 · 29454 · 39272 · 58908 · 78544 · 117816 · 157088 · 235632 (half) · 471264

Aliquot sum (sum of proper divisors): 766,056

Factor pairs (a × b = 471,264)

1 × 471264

2 × 235632

3 × 157088

4 × 117816

6 × 78544

8 × 58908

12 × 39272

16 × 29454

24 × 19636

32 × 14727

48 × 9818

96 × 4909

First multiples

471,264 · 942,528 (double) · 1,413,792 · 1,885,056 · 2,356,320 · 2,827,584 · 3,298,848 · 3,770,112 · 4,241,376 · 4,712,640

Sums & aliquot sequence

As consecutive integers: 157,087 + 157,088 + 157,089 7,332 + 7,333 + … + 7,395 2,359 + 2,360 + … + 2,550

Aliquot sequence: 471,264 → 766,056 → 1,185,144 → 2,098,056 → 3,604,344 → 5,467,656 → 8,644,344 → 12,966,576 → 27,321,024 → 44,966,360 → 63,508,840 → 87,248,360 → 109,060,540 → 123,107,060 → 135,417,808 → 129,504,720 → 304,396,080 — unresolved within range

Continued fraction of √n

√471,264 = [686; (2, 18, 3, 4, 16, 1, 13, 1, 1, 23, 1, 1, 3, 13, 2, 4, 28, 1, 90, 1, 1, 3, 3, 3, …)]

Representations

In words: four hundred seventy-one thousand two hundred sixty-four
Ordinal: 471264th
Binary: 1110011000011100000
Octal: 1630340
Hexadecimal: 0x730E0
Base64: BzDg
One's complement: 4,294,496,031 (32-bit)
Scientific notation: 4.71264 × 10⁵
As a duration: 471,264 s = 5 days, 10 hours, 54 minutes, 24 seconds

In other bases

ternary (3) 212221110020

quaternary (4) 1303003200

quinary (5) 110040024

senary (6) 14033440

septenary (7) 4001643

nonary (9) 787406

undecimal (11) 2a2082

duodecimal (12) 1a8880

tridecimal (13) 136671

tetradecimal (14) c3a5a

pentadecimal (15) 94979

As an angle

471,264° = 1,309 × 360° + 24°

24° ≈ 0.419 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵υοασξδʹ
Chinese: 四十七萬一千二百六十四
Chinese (financial): 肆拾柒萬壹仟貳佰陸拾肆

In other modern scripts

Eastern Arabic ٤٧١٢٦٤ Devanagari ४७१२६४ Bengali ৪৭১২৬৪ Tamil ௪௭௧௨௬௪ Thai ๔๗๑๒๖๔ Tibetan ༤༧༡༢༦༤ Khmer ៤៧១២៦៤ Lao ໔໗໑໒໖໔ Burmese ၄၇၁၂၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 471264, here are decompositions:

5 + 471259 = 471264
11 + 471253 = 471264
23 + 471241 = 471264
47 + 471217 = 471264
71 + 471193 = 471264
103 + 471161 = 471264
127 + 471137 = 471264
163 + 471101 = 471264

Showing the first eight; more decompositions exist.

Hex color

#0730E0

RGB(7, 48, 224)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.48.224.

Address: 0.7.48.224
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.48.224

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 471,264 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 US471,264 on Google Patents ↗ Look up on USPTO ↗