Live analysis

472,720

472,720 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.).

472,720 (four hundred seventy-two thousand seven hundred twenty) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5 × 19 × 311. Its proper divisors sum to 687,920, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73690.

Abundant Number Arithmetic Number Gapful Number Odious Number Practical Number Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

472,708 472,709 472,710 472,711 472,712 472,713 472,714 472,715 472,716 472,717 472,718 472,719 472,720 472,721 472,722 472,723 472,724 472,725 472,726 472,727 472,728 472,729 472,730 472,731 472,732

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Properties

Parity: Even
Digit count: 6
Digit sum: 22
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 19 bits
Reversed: 27,274
Square (n²): 223,464,198,400
Cube (n³): 105,635,995,867,648,000
Divisor count: 40
σ(n) — sum of divisors: 1,160,640
φ(n) — Euler's totient: 178,560
Sum of prime factors: 343

Primality

Prime factorization: 2 ⁴ × 5 × 19 × 311

Nearest primes: 472,711 (−9) · 472,721 (+1)

Divisors & multiples

All divisors (40)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 19 · 20 · 38 · 40 · 76 · 80 · 95 · 152 · 190 · 304 · 311 · 380 · 622 · 760 · 1244 · 1520 · 1555 · 2488 · 3110 · 4976 · 5909 · 6220 · 11818 · 12440 · 23636 · 24880 · 29545 · 47272 · 59090 · 94544 · 118180 · 236360 (half) · 472720

Aliquot sum (sum of proper divisors): 687,920

Factor pairs (a × b = 472,720)

1 × 472720

2 × 236360

4 × 118180

5 × 94544

8 × 59090

10 × 47272

16 × 29545

19 × 24880

20 × 23636

38 × 12440

40 × 11818

76 × 6220

80 × 5909

95 × 4976

152 × 3110

190 × 2488

304 × 1555

311 × 1520

380 × 1244

622 × 760

First multiples

472,720 · 945,440 (double) · 1,418,160 · 1,890,880 · 2,363,600 · 2,836,320 · 3,309,040 · 3,781,760 · 4,254,480 · 4,727,200

Sums & aliquot sequence

As consecutive integers: 94,542 + 94,543 + 94,544 + 94,545 + 94,546 24,871 + 24,872 + … + 24,889 14,757 + 14,758 + … + 14,788 4,929 + 4,930 + … + 5,023

Aliquot sequence: 472,720 → 687,920 → 911,680 → 1,868,096 → 2,108,782 → 1,527,794 → 763,900 → 893,980 → 983,420 → 1,081,804 → 811,360 → 1,284,272 → 1,430,584 → 1,470,296 → 1,607,704 → 2,021,096 → 3,007,384 — unresolved within range

Continued fraction of √n

√472,720 = [687; (1, 1, 4, 1, 8, 3, 2, 7, 4, 1, 3, 1, 5, 1, 18, 1, 1, 16, 2, 6, 2, 1, 4, 4, …)]

Period length 50 — the block in parentheses repeats forever.

Representations

In words: four hundred seventy-two thousand seven hundred twenty
Ordinal: 472720th
Binary: 1110011011010010000
Octal: 1633220
Hexadecimal: 0x73690
Base64: BzaQ
One's complement: 4,294,494,575 (32-bit)
Scientific notation: 4.7272 × 10⁵
As a duration: 472,720 s = 5 days, 11 hours, 18 minutes, 40 seconds

In other bases

ternary (3) 220000110011

quaternary (4) 1303122100

quinary (5) 110111340

senary (6) 14044304

septenary (7) 4006123

nonary (9) 800404

undecimal (11) 2a3186

duodecimal (12) 1a9694

tridecimal (13) 137221

tetradecimal (14) c43ba

pentadecimal (15) 950ea

As an angle

472,720° = 1,313 × 360° + 40°

40° ≈ 0.698 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian): ͵υοβψκʹ
Chinese: 四十七萬二千七百二十
Chinese (financial): 肆拾柒萬貳仟柒佰貳拾

In other modern scripts

Eastern Arabic ٤٧٢٧٢٠ Devanagari ४७२७२० Bengali ৪৭২৭২০ Tamil ௪௭௨௭௨௦ Thai ๔๗๒๗๒๐ Tibetan ༤༧༢༧༢༠ Khmer ៤៧២៧២០ Lao ໔໗໒໗໒໐ Burmese ၄၇၂၇၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472720, here are decompositions:

11 + 472709 = 472720
23 + 472697 = 472720
29 + 472691 = 472720
89 + 472631 = 472720
179 + 472541 = 472720
197 + 472523 = 472720
251 + 472469 = 472720
263 + 472457 = 472720

Showing the first eight; more decompositions exist.

Hex color

#073690

RGB(7, 54, 144)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.54.144.

Address: 0.7.54.144
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.54.144

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 472,720 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 US472,720 on Google Patents ↗ Look up on USPTO ↗