733,467

3 × 7 × 53 × 659

733,467 factors as 3 × 7 × 53 × 659. Its 16 positive divisors give a proper-divisor sum of 407,013, so this integer is deficient. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 3 × 7 × 53 × 659

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,140,480

Proper Divisor Sum 407,013

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #733459 ← → #733477

Radix Representation

Decimal	733467
Binary	10110011000100011011 (20 bits)
Octal	0o2630433
Hexadecimal	0xB311B

Divisor Catalog (16)

1 3 7 21 53 159 371 659 1,113 1,977 4,613 13,839 34,927 104,781 244,489 733,467

Collatz Trajectory (123 steps to reach 1)

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

733,467 2,200,402 1,100,201 3,300,604 1,650,302 825,151 2,475,454 1,237,727 3,713,182 1,856,591 5,569,774 2,784,887 8,354,662 4,177,331 12,531,994 6,265,997 18,797,992 9,398,996 4,699,498 2,349,749 7,049,248 3,524,624 1,762,312 881,156 440,578 220,289 660,868 330,434 165,217 495,652 247,826 123,913 371,740 185,870 92,935 278,806 139,403 418,210 209,105 627,316 313,658 156,829 470,488 235,244 117,622 58,811 176,434 88,217 264,652 132,326 66,163 198,490 99,245 297,736 148,868 74,434 37,217 111,652 55,826 27,913

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