Live analysis

476,672

476,672 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.).

476,672 (four hundred seventy-six thousand six hundred seventy-two) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2⁹ × 7² × 19. Its proper divisors sum to 689,548, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x74600.

Abundant Number Arithmetic Number Evil Number Happy Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

476,660 476,661 476,662 476,663 476,664 476,665 476,666 476,667 476,668 476,669 476,670 476,671 476,672 476,673 476,674 476,675 476,676 476,677 476,678 476,679 476,680 476,681 476,682 476,683 476,684

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 32
Digit product: 14,112
Digital root: 5
Palindrome: No
Bit width: 19 bits
Reversed: 276,674
Square (n²): 227,216,195,584
Cube (n³): 108,307,598,381,416,448
Divisor count: 60
σ(n) — sum of divisors: 1,166,220
φ(n) — Euler's totient: 193,536
Sum of prime factors: 51

Primality

Prime factorization: 2 ⁹ × 7 ² × 19

Nearest primes: 476,659 (−13) · 476,681 (+9)

Divisors & multiples

All divisors (60)

1 · 2 · 4 · 7 · 8 · 14 · 16 · 19 · 28 · 32 · 38 · 49 · 56 · 64 · 76 · 98 · 112 · 128 · 133 · 152 · 196 · 224 · 256 · 266 · 304 · 392 · 448 · 512 · 532 · 608 · 784 · 896 · 931 · 1064 · 1216 · 1568 · 1792 · 1862 · 2128 · 2432 · 3136 · 3584 · 3724 · 4256 · 4864 · 6272 · 7448 · 8512 · 9728 · 12544 · 14896 · 17024 · 25088 · 29792 · 34048 · 59584 · 68096 · 119168 · 238336 (half) · 476672

Aliquot sum (sum of proper divisors): 689,548

Factor pairs (a × b = 476,672)

1 × 476672

2 × 238336

4 × 119168

7 × 68096

8 × 59584

14 × 34048

16 × 29792

19 × 25088

28 × 17024

32 × 14896

38 × 12544

49 × 9728

56 × 8512

64 × 7448

76 × 6272

98 × 4864

112 × 4256

128 × 3724

133 × 3584

152 × 3136

196 × 2432

224 × 2128

256 × 1862

266 × 1792

304 × 1568

392 × 1216

448 × 1064

512 × 931

532 × 896

608 × 784

First multiples

476,672 · 953,344 (double) · 1,430,016 · 1,906,688 · 2,383,360 · 2,860,032 · 3,336,704 · 3,813,376 · 4,290,048 · 4,766,720

Sums & aliquot sequence

As consecutive integers: 68,093 + 68,094 + … + 68,099 25,079 + 25,080 + … + 25,097 9,704 + 9,705 + … + 9,752 3,518 + 3,519 + … + 3,650

Aliquot sequence: 476,672 → 689,548 → 616,372 → 468,684 → 745,620 → 1,523,724 → 2,333,556 → 4,440,204 → 7,071,716 → 5,488,972 → 4,116,736 → 4,739,916 → 6,319,916 → 4,739,944 → 5,125,496 → 4,484,824 → 3,949,976 — unresolved within range

Continued fraction of √n

√476,672 = [690; (2, 2, 2, 2, 1, 1, 1, 1, 7, 1, 1, 1, 9, 345, 9, 1, 1, 1, 7, 1, 1, 1, 1, 2, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words: four hundred seventy-six thousand six hundred seventy-two
Ordinal: 476672nd
Binary: 1110100011000000000
Octal: 1643000
Hexadecimal: 0x74600
Base64: B0YA
One's complement: 4,294,490,623 (32-bit)
Scientific notation: 4.76672 × 10⁵
As a duration: 476,672 s = 5 days, 12 hours, 24 minutes, 32 seconds

In other bases

ternary (3) 220012212112

quaternary (4) 1310120000

quinary (5) 110223142

senary (6) 14114452

septenary (7) 4023500

nonary (9) 805775

undecimal (11) 2a6149

duodecimal (12) 1aba28

tridecimal (13) 138c71

tetradecimal (14) c5a00

pentadecimal (15) 96382

As an angle

476,672° = 1,324 × 360° + 32°

32° ≈ 0.559 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵υοϛχοβʹ
Chinese: 四十七萬六千六百七十二
Chinese (financial): 肆拾柒萬陸仟陸佰柒拾貳

In other modern scripts

Eastern Arabic ٤٧٦٦٧٢ Devanagari ४७६६७२ Bengali ৪৭৬৬৭২ Tamil ௪௭௬௬௭௨ Thai ๔๗๖๖๗๒ Tibetan ༤༧༦༦༧༢ Khmer ៤៧៦៦៧២ Lao ໔໗໖໖໗໒ Burmese ၄၇၆၆၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 476672, here are decompositions:

13 + 476659 = 476672
61 + 476611 = 476672
73 + 476599 = 476672
193 + 476479 = 476672
271 + 476401 = 476672
373 + 476299 = 476672
439 + 476233 = 476672
571 + 476101 = 476672

Showing the first eight; more decompositions exist.

Hex color

#074600

RGB(7, 70, 0)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.70.0.

Address: 0.7.70.0
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.70.0

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 476,672 and was likely granted around 1892.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US476,672 on Google Patents ↗ Look up on USPTO ↗