725,396

2² × 7² × 3701

725,396 factors as 2^2 × 7^2 × 3701. Its 18 positive divisors give a proper-divisor sum of 751,702, so this integer is abundant. The Collatz stopping time is 211 steps.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 3701

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 1,477,098

Proper Divisor Sum 751,702

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #725393 ← → #725399

Radix Representation

Decimal	725396
Binary	10110001000110010100 (20 bits)
Octal	0o2610624
Hexadecimal	0xB1194

Divisor Catalog (18)

1 2 4 7 14 28 49 98 196 3,701 7,402 14,804 25,907 51,814 103,628 181,349 362,698 725,396

Collatz Trajectory (211 steps to reach 1)

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

725,396 362,698 181,349 544,048 272,024 136,012 68,006 34,003 102,010 51,005 153,016 76,508 38,254 19,127 57,382 28,691 86,074 43,037 129,112 64,556 32,278 16,139 48,418 24,209 72,628 36,314 18,157 54,472 27,236 13,618 6,809 20,428 10,214 5,107 15,322 7,661 22,984 11,492 5,746 2,873 8,620 4,310 2,155 6,466 3,233 9,700 4,850 2,425 7,276 3,638 1,819 5,458 2,729 8,188 4,094 2,047 6,142 3,071 9,214 4,607

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