Live analysis

472,688

472,688 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.).

472,688 (four hundred seventy-two thousand six hundred eighty-eight) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 31 × 953. Its proper divisors sum to 473,680, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73670.

Abundant Number Evil Number Practical Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

472,676 472,677 472,678 472,679 472,680 472,681 472,682 472,683 472,684 472,685 472,686 472,687 472,688 472,689 472,690 472,691 472,692 472,693 472,694 472,695 472,696 472,697 472,698 472,699 472,700

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Properties

Parity: Even
Digit count: 6
Digit sum: 35
Digit product: 21,504
Digital root: 8
Palindrome: No
Bit width: 19 bits
Reversed: 886,274
Square (n²): 223,433,945,344
Cube (n³): 105,614,544,756,764,672
Divisor count: 20
σ(n) — sum of divisors: 946,368
φ(n) — Euler's totient: 228,480
Sum of prime factors: 992

Primality

Prime factorization: 2 ⁴ × 31 × 953

Nearest primes: 472,687 (−1) · 472,691 (+3)

Divisors & multiples

All divisors (20)

1 · 2 · 4 · 8 · 16 · 31 · 62 · 124 · 248 · 496 · 953 · 1906 · 3812 · 7624 · 15248 · 29543 · 59086 · 118172 · 236344 (half) · 472688

Aliquot sum (sum of proper divisors): 473,680

Factor pairs (a × b = 472,688)

1 × 472688

2 × 236344

4 × 118172

8 × 59086

16 × 29543

31 × 15248

62 × 7624

124 × 3812

248 × 1906

496 × 953

First multiples

472,688 · 945,376 (double) · 1,418,064 · 1,890,752 · 2,363,440 · 2,836,128 · 3,308,816 · 3,781,504 · 4,254,192 · 4,726,880

Sums & aliquot sequence

As consecutive integers: 15,233 + 15,234 + … + 15,263 14,756 + 14,757 + … + 14,787 20 + 21 + … + 972

Aliquot sequence: 472,688 → 473,680 → 669,104 → 759,376 → 760,368 → 1,588,688 → 1,589,680 → 2,231,504 → 2,649,136 → 3,570,704 → 3,905,008 → 3,906,000 → 12,188,208 → 20,317,648 → 25,679,408 → 27,936,208 → 28,457,008 — unresolved within range

Continued fraction of √n

√472,688 = [687; (1, 1, 10, 3, 17, 12, 9, 42, 1, 6, 6, 1, 3, 3, 1, 1, 4, 1, 1, 32, 1, 84, 1, 32, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words: four hundred seventy-two thousand six hundred eighty-eight
Ordinal: 472688th
Binary: 1110011011001110000
Octal: 1633160
Hexadecimal: 0x73670
Base64: BzZw
One's complement: 4,294,494,607 (32-bit)
Scientific notation: 4.72688 × 10⁵
As a duration: 472,688 s = 5 days, 11 hours, 18 minutes, 8 seconds

In other bases

ternary (3) 220000101222

quaternary (4) 1303121300

quinary (5) 110111223

senary (6) 14044212

septenary (7) 4006046

nonary (9) 800358

undecimal (11) 2a3157

duodecimal (12) 1a9668

tridecimal (13) 1371c8

tetradecimal (14) c4396

pentadecimal (15) 950c8

As an angle

472,688° = 1,313 × 360° + 8°

8° ≈ 0.14 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵υοβχπηʹ
Chinese: 四十七萬二千六百八十八
Chinese (financial): 肆拾柒萬貳仟陸佰捌拾捌

In other modern scripts

Eastern Arabic ٤٧٢٦٨٨ Devanagari ४७२६८८ Bengali ৪৭২৬৮৮ Tamil ௪௭௨௬௮௮ Thai ๔๗๒๖๘๘ Tibetan ༤༧༢༦༨༨ Khmer ៤៧២៦៨៨ Lao ໔໗໒໖໘໘ Burmese ၄၇၂၆၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472688, here are decompositions:

19 + 472669 = 472688
127 + 472561 = 472688
211 + 472477 = 472688
277 + 472411 = 472688
379 + 472309 = 472688
439 + 472249 = 472688
499 + 472189 = 472688
577 + 472111 = 472688

Showing the first eight; more decompositions exist.

Hex color

#073670

RGB(7, 54, 112)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.54.112.

Address: 0.7.54.112
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.54.112

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 472,688 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 US472,688 on Google Patents ↗ Look up on USPTO ↗