725,565

3 × 5 × 48371

725,565 factors as 3 × 5 × 48371. Its 8 positive divisors give a proper-divisor sum of 435,363, so this integer is deficient. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 3 × 5 × 48371

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,160,928

Proper Divisor Sum 435,363

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #725537 ← → #725579

Radix Representation

Decimal	725565
Binary	10110001001000111101 (20 bits)
Octal	0o2611075
Hexadecimal	0xB123D

Divisor Catalog (8)

1 3 5 15 48,371 145,113 241,855 725,565

Collatz Trajectory (92 steps to reach 1)

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

725,565 2,176,696 1,088,348 544,174 272,087 816,262 408,131 1,224,394 612,197 1,836,592 918,296 459,148 229,574 114,787 344,362 172,181 516,544 258,272 129,136 64,568 32,284 16,142 8,071 24,214 12,107 36,322 18,161 54,484 27,242 13,621 40,864 20,432 10,216 5,108 2,554 1,277 3,832 1,916 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #725,564 Browse Full Index Next Integer #725,566 →