Live analysis

472,356

472,356 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.).

472,356 (four hundred seventy-two thousand three hundred fifty-six) is an even 6-digit number. It is a composite number with 18 divisors, and factors as 2² × 3² × 13,121. Its proper divisors sum to 721,746, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73524.

Abundant Number Arithmetic Number Cube-Free Happy Number Odious Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

472,344 472,345 472,346 472,347 472,348 472,349 472,350 472,351 472,352 472,353 472,354 472,355 472,356 472,357 472,358 472,359 472,360 472,361 472,362 472,363 472,364 472,365 472,366 472,367 472,368

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Properties

Parity: Even
Digit count: 6
Digit sum: 27
Digit product: 5,040
Digital root: 9
Palindrome: No
Bit width: 19 bits
Reversed: 653,274
Recamán's sequence: a(137,376) = 472,356
Square (n²): 223,120,190,736
Cube (n³): 105,392,160,815,294,016
Divisor count: 18
σ(n) — sum of divisors: 1,194,102
φ(n) — Euler's totient: 157,440
Sum of prime factors: 13,131

Primality

Prime factorization: 2 ² × 3 ² × 13121

Nearest primes: 472,349 (−7) · 472,369 (+13)

Divisors & multiples

All divisors (18)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 36 · 13121 · 26242 · 39363 · 52484 · 78726 · 118089 · 157452 · 236178 (half) · 472356

Aliquot sum (sum of proper divisors): 721,746

Factor pairs (a × b = 472,356)

1 × 472356

2 × 236178

3 × 157452

4 × 118089

6 × 78726

9 × 52484

12 × 39363

18 × 26242

36 × 13121

First multiples

472,356 · 944,712 (double) · 1,417,068 · 1,889,424 · 2,361,780 · 2,834,136 · 3,306,492 · 3,778,848 · 4,251,204 · 4,723,560

Sums & aliquot sequence

As a sum of two squares: 384² + 570²

As consecutive integers: 157,451 + 157,452 + 157,453 59,041 + 59,042 + … + 59,048 52,480 + 52,481 + … + 52,488 19,670 + 19,671 + … + 19,693

Aliquot sequence: 472,356 → 721,746 → 861,498 → 1,291,302 → 1,611,234 → 1,879,812 → 3,466,620 → 7,049,340 → 14,334,204 → 19,112,300 → 22,361,608 → 19,566,422 → 13,279,402 → 6,693,398 → 3,358,162 → 1,825,838 → 1,468,306 — unresolved within range

Continued fraction of √n

√472,356 = [687; (3, 1, 1, 4, 2, 1, 1, 3, 1, 3, 1, 104, 1, 17, 10, 2, 3, 2, 16, 8, 13, 1, 3, 5, …)]

Representations

In words: four hundred seventy-two thousand three hundred fifty-six
Ordinal: 472356th
Binary: 1110011010100100100
Octal: 1632444
Hexadecimal: 0x73524
Base64: BzUk
One's complement: 4,294,494,939 (32-bit)
Scientific notation: 4.72356 × 10⁵
As a duration: 472,356 s = 5 days, 11 hours, 12 minutes, 36 seconds

In other bases

ternary (3) 212222221200

quaternary (4) 1303110210

quinary (5) 110103411

senary (6) 14042500

septenary (7) 4005063

nonary (9) 788850

undecimal (11) 2a2985

duodecimal (12) 1a9430

tridecimal (13) 137001

tetradecimal (14) c41da

pentadecimal (15) 94e56

As an angle

472,356° = 1,312 × 360° + 36°

36° ≈ 0.628 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹 𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵υοβτνϛʹ
Chinese: 四十七萬二千三百五十六
Chinese (financial): 肆拾柒萬貳仟參佰伍拾陸

In other modern scripts

Eastern Arabic ٤٧٢٣٥٦ Devanagari ४७२३५६ Bengali ৪৭২৩৫৬ Tamil ௪௭௨௩௫௬ Thai ๔๗๒๓๕๖ Tibetan ༤༧༢༣༥༦ Khmer ៤៧២៣៥៦ Lao ໔໗໒໓໕໖ Burmese ၄၇၂၃၅၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472356, here are decompositions:

7 + 472349 = 472356
23 + 472333 = 472356
37 + 472319 = 472356
47 + 472309 = 472356
67 + 472289 = 472356
83 + 472273 = 472356
103 + 472253 = 472356
107 + 472249 = 472356

Showing the first eight; more decompositions exist.

Hex color

#073524

RGB(7, 53, 36)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.53.36.

Address: 0.7.53.36
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.53.36

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 472,356 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 US472,356 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 472356 first appears in π at position 66,292 of the decimal expansion (the 66,292ordinal-suffix:nd 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 472356 on Pi Search ↗