723,933

3² × 7 × 11491

723,933 factors as 3^2 × 7 × 11491. Its 12 positive divisors give a proper-divisor sum of 471,235, so this integer is deficient. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 3^2 × 7 × 11491

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,195,168

Proper Divisor Sum 471,235

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #723923 ← → #723949

Radix Representation

Decimal	723933
Binary	10110000101111011101 (20 bits)
Octal	0o2605735
Hexadecimal	0xB0BDD

Divisor Catalog (12)

1 3 7 9 21 63 11,491 34,473 80,437 103,419 241,311 723,933

Collatz Trajectory (105 steps to reach 1)

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

723,933 2,171,800 1,085,900 542,950 271,475 814,426 407,213 1,221,640 610,820 305,410 152,705 458,116 229,058 114,529 343,588 171,794 85,897 257,692 128,846 64,423 193,270 96,635 289,906 144,953 434,860 217,430 108,715 326,146 163,073 489,220 244,610 122,305 366,916 183,458 91,729 275,188 137,594 68,797 206,392 103,196 51,598 25,799 77,398 38,699 116,098 58,049 174,148 87,074 43,537 130,612 65,306 32,653 97,960 48,980 24,490 12,245 36,736 18,368 9,184 4,592

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