744,205

5 × 7 × 11 × 1933

744,205 factors as 5 × 7 × 11 × 1933. Its 16 positive divisors give a proper-divisor sum of 369,779, so this integer is deficient. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 5 × 7 × 11 × 1933

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,113,984

Proper Divisor Sum 369,779

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #744203 ← → #744221

Radix Representation

Decimal	744205
Binary	10110101101100001101 (20 bits)
Octal	0o2655415
Hexadecimal	0xB5B0D

Divisor Catalog (16)

1 5 7 11 35 55 77 385 1,933 9,665 13,531 21,263 67,655 106,315 148,841 744,205

Collatz Trajectory (118 steps to reach 1)

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

744,205 2,232,616 1,116,308 558,154 279,077 837,232 418,616 209,308 104,654 52,327 156,982 78,491 235,474 117,737 353,212 176,606 88,303 264,910 132,455 397,366 198,683 596,050 298,025 894,076 447,038 223,519 670,558 335,279 1,005,838 502,919 1,508,758 754,379 2,263,138 1,131,569 3,394,708 1,697,354 848,677 2,546,032 1,273,016 636,508 318,254 159,127 477,382 238,691 716,074 358,037 1,074,112 537,056 268,528 134,264 67,132 33,566 16,783 50,350 25,175 75,526 37,763 113,290 56,645 169,936

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