732,575

5² × 29303

732,575 factors as 5^2 × 29303. Its 6 positive divisors give a proper-divisor sum of 175,849, so this integer is deficient. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 5^2 × 29303

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 908,424

Proper Divisor Sum 175,849

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #732541 ← → #732601

Radix Representation

Decimal	732575
Binary	10110010110110011111 (20 bits)
Octal	0o2626637
Hexadecimal	0xB2D9F

Divisor Catalog (6)

1 5 25 29,303 146,515 732,575

Collatz Trajectory (118 steps to reach 1)

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

732,575 2,197,726 1,098,863 3,296,590 1,648,295 4,944,886 2,472,443 7,417,330 3,708,665 11,125,996 5,562,998 2,781,499 8,344,498 4,172,249 12,516,748 6,258,374 3,129,187 9,387,562 4,693,781 14,081,344 7,040,672 3,520,336 1,760,168 880,084 440,042 220,021 660,064 330,032 165,016 82,508 41,254 20,627 61,882 30,941 92,824 46,412 23,206 11,603 34,810 17,405 52,216 26,108 13,054 6,527 19,582 9,791 29,374 14,687 44,062 22,031 66,094 33,047 99,142 49,571 148,714 74,357 223,072 111,536 55,768 27,884

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