Live analysis

472,842

472,842 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.).

472,842 (four hundred seventy-two thousand eight hundred forty-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2 × 3² × 109 × 241. Its proper divisors sum to 565,338, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7370A.

Abundant Number Cube-Free Evil Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

472,830 472,831 472,832 472,833 472,834 472,835 472,836 472,837 472,838 472,839 472,840 472,841 472,842 472,843 472,844 472,845 472,846 472,847 472,848 472,849 472,850 472,851 472,852 472,853 472,854

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Properties

Parity: Even
Digit count: 6
Digit sum: 27
Digit product: 3,584
Digital root: 9
Palindrome: No
Bit width: 19 bits
Reversed: 248,274
Square (n²): 223,579,556,964
Cube (n³): 105,717,804,873,971,688
Divisor count: 24
σ(n) — sum of divisors: 1,038,180
φ(n) — Euler's totient: 155,520
Sum of prime factors: 358

Primality

Prime factorization: 2 × 3 ² × 109 × 241

Nearest primes: 472,837 (−5) · 472,847 (+5)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 6 · 9 · 18 · 109 · 218 · 241 · 327 · 482 · 654 · 723 · 981 · 1446 · 1962 · 2169 · 4338 · 26269 · 52538 · 78807 · 157614 · 236421 (half) · 472842

Aliquot sum (sum of proper divisors): 565,338

Factor pairs (a × b = 472,842)

1 × 472842

2 × 236421

3 × 157614

6 × 78807

9 × 52538

18 × 26269

109 × 4338

218 × 2169

241 × 1962

327 × 1446

482 × 981

654 × 723

First multiples

472,842 · 945,684 (double) · 1,418,526 · 1,891,368 · 2,364,210 · 2,837,052 · 3,309,894 · 3,782,736 · 4,255,578 · 4,728,420

Sums & aliquot sequence

As a sum of two squares: 159² + 669² = 471² + 501²

As consecutive integers: 157,613 + 157,614 + 157,615 118,209 + 118,210 + 118,211 + 118,212 52,534 + 52,535 + … + 52,542 39,398 + 39,399 + … + 39,409

Aliquot sequence: 472,842 → 565,338 → 585,222 → 691,770 → 968,550 → 1,656,282 → 1,656,294 → 1,656,306 → 2,274,894 → 2,760,786 → 4,075,758 → 5,173,482 → 5,623,638 → 6,112,938 → 7,192,662 → 7,235,178 → 7,289,718 — unresolved within range

Continued fraction of √n

√472,842 = [687; (1, 1, 1, 2, 1, 5, 1, 2, 3, 12, 1, 2, 11, 1, 4, 1, 5, 14, 152, 1, 2, 1, 4, 6, …)]

Representations

In words: four hundred seventy-two thousand eight hundred forty-two
Ordinal: 472842nd
Binary: 1110011011100001010
Octal: 1633412
Hexadecimal: 0x7370A
Base64: BzcK
One's complement: 4,294,494,453 (32-bit)
Scientific notation: 4.72842 × 10⁵
As a duration: 472,842 s = 5 days, 11 hours, 20 minutes, 42 seconds

In other bases

ternary (3) 220000121200

quaternary (4) 1303130022

quinary (5) 110112332

senary (6) 14045030

septenary (7) 4006356

nonary (9) 800550

undecimal (11) 2a3287

duodecimal (12) 1a9776

tridecimal (13) 1372b6

tetradecimal (14) c4466

pentadecimal (15) 9517c

As an angle

472,842° = 1,313 × 360° + 162°

162° ≈ 2.827 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹 𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵υοβωμβʹ
Chinese: 四十七萬二千八百四十二
Chinese (financial): 肆拾柒萬貳仟捌佰肆拾貳

In other modern scripts

Eastern Arabic ٤٧٢٨٤٢ Devanagari ४७२८४२ Bengali ৪৭২৮৪২ Tamil ௪௭௨௮௪௨ Thai ๔๗๒๘๔๒ Tibetan ༤༧༢༨༤༢ Khmer ៤៧២៨៤២ Lao ໔໗໒໘໔໒ Burmese ၄၇၂၈၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472842, here are decompositions:

5 + 472837 = 472842
11 + 472831 = 472842
43 + 472799 = 472842
79 + 472763 = 472842
101 + 472741 = 472842
131 + 472711 = 472842
151 + 472691 = 472842
173 + 472669 = 472842

Showing the first eight; more decompositions exist.

Hex color

#07370A

RGB(7, 55, 10)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.55.10.

Address: 0.7.55.10
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.55.10

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 472,842 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 US472,842 on Google Patents ↗ Look up on USPTO ↗