725,005

5 × 83 × 1747

725,005 factors as 5 × 83 × 1747. Its 8 positive divisors give a proper-divisor sum of 155,987, so this integer is deficient. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 5 × 83 × 1747

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 880,992

Proper Divisor Sum 155,987

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #724993 ← → #725009

Radix Representation

Decimal	725005
Binary	10110001000000001101 (20 bits)
Octal	0o2610015
Hexadecimal	0xB100D

Divisor Catalog (8)

1 5 83 415 1,747 8,735 145,001 725,005

Collatz Trajectory (92 steps to reach 1)

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

725,005 2,175,016 1,087,508 543,754 271,877 815,632 407,816 203,908 101,954 50,977 152,932 76,466 38,233 114,700 57,350 28,675 86,026 43,013 129,040 64,520 32,260 16,130 8,065 24,196 12,098 6,049 18,148 9,074 4,537 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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