14,628,509

7² × 79 × 3779

14,628,509 factors as 7^2 × 79 × 3779. Its 12 positive divisors give a proper-divisor sum of 2,608,291, so this integer is deficient. The Collatz stopping time is 311 steps.

Prime Factor Structure

Factorization String 7^2 × 79 × 3779

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 17,236,800

Proper Divisor Sum 2,608,291

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #14628469 ← → #14628511

Radix Representation

Decimal	14628509
Binary	110111110011011010011101 (24 bits)
Octal	0o67633235
Hexadecimal	0xDF369D

Divisor Catalog (12)

1 7 49 79 553 3,779 3,871 26,453 185,171 298,541 2,089,787 14,628,509

Collatz Trajectory (311 steps to reach 1)

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

14,628,509 43,885,528 21,942,764 10,971,382 5,485,691 16,457,074 8,228,537 24,685,612 12,342,806 6,171,403 18,514,210 9,257,105 27,771,316 13,885,658 6,942,829 20,828,488 10,414,244 5,207,122 2,603,561 7,810,684 3,905,342 1,952,671 5,858,014 2,929,007 8,787,022 4,393,511 13,180,534 6,590,267 19,770,802 9,885,401 29,656,204 14,828,102 7,414,051 22,242,154 11,121,077 33,363,232 16,681,616 8,340,808 4,170,404 2,085,202 1,042,601 3,127,804 1,563,902 781,951 2,345,854 1,172,927 3,518,782 1,759,391 5,278,174 2,639,087 7,917,262 3,958,631 11,875,894 5,937,947 17,813,842 8,906,921 26,720,764 13,360,382 6,680,191 20,040,574

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