448,526

2 × 13² × 1327

448,526 factors as 2 × 13^2 × 1327. Its 12 positive divisors give a proper-divisor sum of 280,546, so this integer is deficient. The Collatz stopping time is 156 steps.

Prime Factor Structure

Factorization String 2 × 13^2 × 1327

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 729,072

Proper Divisor Sum 280,546

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #448519 ← → #448531

Radix Representation

Decimal	448526
Binary	1101101100000001110 (19 bits)
Octal	0o1554016
Hexadecimal	0x6D80E

Divisor Catalog (12)

1 2 13 26 169 338 1,327 2,654 17,251 34,502 224,263 448,526

Collatz Trajectory (156 steps to reach 1)

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

448,526 224,263 672,790 336,395 1,009,186 504,593 1,513,780 756,890 378,445 1,135,336 567,668 283,834 141,917 425,752 212,876 106,438 53,219 159,658 79,829 239,488 119,744 59,872 29,936 14,968 7,484 3,742 1,871 5,614 2,807 8,422 4,211 12,634 6,317 18,952 9,476 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125 376 188 94 47 142 71 214 107 322 161 484

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #448,525 Browse Full Index Next Integer #448,527 →