Live analysis

464,672

464,672 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.).

464,672 (four hundred sixty-four thousand six hundred seventy-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 13 × 1,117. Its proper divisors sum to 521,404, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x71720.

Abundant Number Evil Number Recamán's Sequence Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

464,660 464,661 464,662 464,663 464,664 464,665 464,666 464,667 464,668 464,669 464,670 464,671 464,672 464,673 464,674 464,675 464,676 464,677 464,678 464,679 464,680 464,681 464,682 464,683 464,684

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 29
Digit product: 8,064
Digital root: 2
Palindrome: No
Bit width: 19 bits
Reversed: 276,464
Recamán's sequence: a(132,416) = 464,672
Square (n²): 215,920,067,584
Cube (n³): 100,332,009,644,392,448
Divisor count: 24
σ(n) — sum of divisors: 986,076
φ(n) — Euler's totient: 214,272
Sum of prime factors: 1,140

Primality

Prime factorization: 2 ⁵ × 13 × 1117

Nearest primes: 464,663 (−9) · 464,687 (+15)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 8 · 13 · 16 · 26 · 32 · 52 · 104 · 208 · 416 · 1117 · 2234 · 4468 · 8936 · 14521 · 17872 · 29042 · 35744 · 58084 · 116168 · 232336 (half) · 464672

Aliquot sum (sum of proper divisors): 521,404

Factor pairs (a × b = 464,672)

1 × 464672

2 × 232336

4 × 116168

8 × 58084

13 × 35744

16 × 29042

26 × 17872

32 × 14521

52 × 8936

104 × 4468

208 × 2234

416 × 1117

First multiples

464,672 · 929,344 (double) · 1,394,016 · 1,858,688 · 2,323,360 · 2,788,032 · 3,252,704 · 3,717,376 · 4,182,048 · 4,646,720

Sums & aliquot sequence

As a sum of two squares: 316² + 604² = 436² + 524²

As consecutive integers: 35,738 + 35,739 + … + 35,750 7,229 + 7,230 + … + 7,292 143 + 144 + … + 974

Aliquot sequence: 464,672 → 521,404 → 491,524 → 446,924 → 335,200 → 485,060 → 549,820 → 637,604 → 611,644 → 556,124 → 441,124 → 330,850 → 333,170 → 266,554 → 133,280 → 254,548 → 254,604 — unresolved within range

Continued fraction of √n

√464,672 = [681; (1, 2, 58, 1, 16, 3, 1, 1, 1, 4, 1, 2, 84, 1, 5, 1, 6, 3, 1, 1, 3, 1, 2, 1, …)]

Period length 56 — the block in parentheses repeats forever.

Representations

In words: four hundred sixty-four thousand six hundred seventy-two
Ordinal: 464672nd
Binary: 1110001011100100000
Octal: 1613440
Hexadecimal: 0x71720
Base64: Bxcg
One's complement: 4,294,502,623 (32-bit)
Scientific notation: 4.64672 × 10⁵
As a duration: 464,672 s = 5 days, 9 hours, 4 minutes, 32 seconds

In other bases

ternary (3) 212121102002

quaternary (4) 1301130200

quinary (5) 104332142

senary (6) 13543132

septenary (7) 3643505

nonary (9) 777362

undecimal (11) 29812a

duodecimal (12) 1a4aa8

tridecimal (13) 133670

tetradecimal (14) c14ac

pentadecimal (15) 92a32

As an angle

464,672° = 1,290 × 360° + 272°

272° ≈ 4.747 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵υξδχοβʹ
Chinese: 四十六萬四千六百七十二
Chinese (financial): 肆拾陸萬肆仟陸佰柒拾貳

In other modern scripts

Eastern Arabic ٤٦٤٦٧٢ Devanagari ४६४६७२ Bengali ৪৬৪৬৭২ Tamil ௪௬௪௬௭௨ Thai ๔๖๔๖๗๒ Tibetan ༤༦༤༦༧༢ Khmer ៤៦៤៦៧២ Lao ໔໖໔໖໗໒ Burmese ၄၆၄၆၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 464672, here are decompositions:

151 + 464521 = 464672
193 + 464479 = 464672
409 + 464263 = 464672
421 + 464251 = 464672
499 + 464173 = 464672
541 + 464131 = 464672
661 + 464011 = 464672
709 + 463963 = 464672

Showing the first eight; more decompositions exist.

Hex color

#071720

RGB(7, 23, 32)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.23.32.

Address: 0.7.23.32
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.23.32

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 464,672 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 US464,672 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 464672 first appears in π at position 204,067 of the decimal expansion (the 204,067ordinal-suffix:th 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 464672 on Pi Search ↗