725,125

5³ × 5801

725,125 factors as 5^3 × 5801. Its 8 positive divisors give a proper-divisor sum of 179,987, so this integer is deficient. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 5^3 × 5801

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 905,112

Proper Divisor Sum 179,987

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #725119 ← → #725147

Radix Representation

Decimal	725125
Binary	10110001000010000101 (20 bits)
Octal	0o2610205
Hexadecimal	0xB1085

Divisor Catalog (8)

1 5 25 125 5,801 29,005 145,025 725,125

Collatz Trajectory (92 steps to reach 1)

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

725,125 2,175,376 1,087,688 543,844 271,922 135,961 407,884 203,942 101,971 305,914 152,957 458,872 229,436 114,718 57,359 172,078 86,039 258,118 129,059 387,178 193,589 580,768 290,384 145,192 72,596 36,298 18,149 54,448 27,224 13,612 6,806 3,403 10,210 5,105 15,316 7,658 3,829 11,488 5,744 2,872 1,436 718 359 1,078 539 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616

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