Live analysis

471,672

471,672 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.).

471,672 (four hundred seventy-one thousand six hundred seventy-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2³ × 3² × 6,551. Its proper divisors sum to 805,968, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73278.

Abundant Number Arithmetic Number Evil Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

471,660 471,661 471,662 471,663 471,664 471,665 471,666 471,667 471,668 471,669 471,670 471,671 471,672 471,673 471,674 471,675 471,676 471,677 471,678 471,679 471,680 471,681 471,682 471,683 471,684

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 27
Digit product: 2,352
Digital root: 9
Palindrome: No
Bit width: 19 bits
Reversed: 276,174
Recamán's sequence: a(136,908) = 471,672
Square (n²): 222,474,475,584
Cube (n³): 104,934,980,847,656,448
Divisor count: 24
σ(n) — sum of divisors: 1,277,640
φ(n) — Euler's totient: 157,200
Sum of prime factors: 6,563

Primality

Prime factorization: 2 ³ × 3 ² × 6551

Nearest primes: 471,671 (−1) · 471,673 (+1)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 18 · 24 · 36 · 72 · 6551 · 13102 · 19653 · 26204 · 39306 · 52408 · 58959 · 78612 · 117918 · 157224 · 235836 (half) · 471672

Aliquot sum (sum of proper divisors): 805,968

Factor pairs (a × b = 471,672)

1 × 471672

2 × 235836

3 × 157224

4 × 117918

6 × 78612

8 × 58959

9 × 52408

12 × 39306

18 × 26204

24 × 19653

36 × 13102

72 × 6551

First multiples

471,672 · 943,344 (double) · 1,415,016 · 1,886,688 · 2,358,360 · 2,830,032 · 3,301,704 · 3,773,376 · 4,245,048 · 4,716,720

Sums & aliquot sequence

As consecutive integers: 157,223 + 157,224 + 157,225 52,404 + 52,405 + … + 52,412 29,472 + 29,473 + … + 29,487 9,803 + 9,804 + … + 9,850

Aliquot sequence: 471,672 → 805,968 → 1,539,492 → 2,052,684 → 3,410,956 → 3,047,524 → 2,566,476 → 4,511,868 → 6,680,124 → 12,216,516 → 18,481,788 → 37,655,748 → 70,904,340 → 163,399,548 → 258,306,212 → 194,753,164 → 152,495,780 — unresolved within range

Continued fraction of √n

√471,672 = [686; (1, 3, 1, 1, 1, 2, 28, 1, 5, 1, 1, 18, 1, 1, 5, 1, 28, 2, 1, 1, 1, 3, 1, 1372)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words: four hundred seventy-one thousand six hundred seventy-two
Ordinal: 471672nd
Binary: 1110011001001111000
Octal: 1631170
Hexadecimal: 0x73278
Base64: BzJ4
One's complement: 4,294,495,623 (32-bit)
Scientific notation: 4.71672 × 10⁵
As a duration: 471,672 s = 5 days, 11 hours, 1 minute, 12 seconds

In other bases

ternary (3) 212222000100

quaternary (4) 1303021320

quinary (5) 110043142

senary (6) 14035400

septenary (7) 4003065

nonary (9) 788010

undecimal (11) 2a2413

duodecimal (12) 1a8b60

tridecimal (13) 1368c6

tetradecimal (14) c3c6c

pentadecimal (15) 94b4c

As an angle

471,672° = 1,310 × 360° + 72°

72° ≈ 1.257 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹 𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵υοαχοβʹ
Chinese: 四十七萬一千六百七十二
Chinese (financial): 肆拾柒萬壹仟陸佰柒拾貳

In other modern scripts

Eastern Arabic ٤٧١٦٧٢ Devanagari ४७१६७२ Bengali ৪৭১৬৭২ Tamil ௪௭௧௬௭௨ Thai ๔๗๑๖๗๒ Tibetan ༤༧༡༦༧༢ Khmer ៤៧១៦៧២ Lao ໔໗໑໖໗໒ Burmese ၄၇၁၆၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 471672, here are decompositions:

13 + 471659 = 471672
23 + 471649 = 471672
31 + 471641 = 471672
53 + 471619 = 471672
79 + 471593 = 471672
83 + 471589 = 471672
101 + 471571 = 471672
139 + 471533 = 471672

Showing the first eight; more decompositions exist.

Hex color

#073278

RGB(7, 50, 120)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.50.120.

Address: 0.7.50.120
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.50.120

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 471,672 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 US471,672 on Google Patents ↗ Look up on USPTO ↗