63,375

3 × 5³ × 13²

63,375 factors as 3 × 5^3 × 13^2. Its 24 positive divisors give a proper-divisor sum of 50,817, so this integer is deficient. The Collatz stopping time is 285 steps.

Prime Factor Structure

Factorization String 3 × 5^3 × 13^2

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 114,192

Proper Divisor Sum 50,817

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #63367 ← → #63377

Radix Representation

Decimal	63375
Binary	1111011110001111 (16 bits)
Octal	0o173617
Hexadecimal	0xF78F

Divisor Catalog (24)

1 3 5 13 15 25 39 65 75 125 169 195 325 375 507 845 975 1,625 2,535 4,225 4,875 12,675 21,125 63,375

Collatz Trajectory (285 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

63,375 190,126 95,063 285,190 142,595 427,786 213,893 641,680 320,840 160,420 80,210 40,105 120,316 60,158 30,079 90,238 45,119 135,358 67,679 203,038 101,519 304,558 152,279 456,838 228,419 685,258 342,629 1,027,888 513,944 256,972 128,486 64,243 192,730 96,365 289,096 144,548 72,274 36,137 108,412 54,206 27,103 81,310 40,655 121,966 60,983 182,950 91,475 274,426 137,213 411,640 205,820 102,910 51,455 154,366 77,183 231,550 115,775 347,326 173,663 520,990

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #63,374 Browse Full Index Next Integer #63,376 →