15,617,917

7² × 17 × 18749

15,617,917 factors as 7^2 × 17 × 18749. Its 12 positive divisors give a proper-divisor sum of 3,619,583, so this integer is deficient. The Collatz stopping time is 249 steps.

Prime Factor Structure

Factorization String 7^2 × 17 × 18749

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 19,237,500

Proper Divisor Sum 3,619,583

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #15617911 ← → #15617939

Radix Representation

Decimal	15617917
Binary	111011100100111101111101 (24 bits)
Octal	0o73447575
Hexadecimal	0xEE4F7D

Divisor Catalog (12)

1 7 17 49 119 833 18,749 131,243 318,733 918,701 2,231,131 15,617,917

Collatz Trajectory (249 steps to reach 1)

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

15,617,917 46,853,752 23,426,876 11,713,438 5,856,719 17,570,158 8,785,079 26,355,238 13,177,619 39,532,858 19,766,429 59,299,288 29,649,644 14,824,822 7,412,411 22,237,234 11,118,617 33,355,852 16,677,926 8,338,963 25,016,890 12,508,445 37,525,336 18,762,668 9,381,334 4,690,667 14,072,002 7,036,001 21,108,004 10,554,002 5,277,001 15,831,004 7,915,502 3,957,751 11,873,254 5,936,627 17,809,882 8,904,941 26,714,824 13,357,412 6,678,706 3,339,353 10,018,060 5,009,030 2,504,515 7,513,546 3,756,773 11,270,320 5,635,160 2,817,580 1,408,790 704,395 2,113,186 1,056,593 3,169,780 1,584,890 792,445 2,377,336 1,188,668 594,334

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