17,683,624

2³ × 7 × 315779

17,683,624 factors as 2^3 × 7 × 315779. Its 16 positive divisors give a proper-divisor sum of 20,209,976, so this integer is abundant. The Collatz stopping time is 76 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 315779

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 37,893,600

Proper Divisor Sum 20,209,976

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #17683613 ← → #17683637

Radix Representation

Decimal	17683624
Binary	1000011011101010010101000 (25 bits)
Octal	0o103352250
Hexadecimal	0x10DD4A8

Divisor Catalog (16)

1 2 4 7 8 14 28 56 315,779 631,558 1,263,116 2,210,453 2,526,232 4,420,906 8,841,812 17,683,624

Collatz Trajectory (76 steps to reach 1)

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

17,683,624 8,841,812 4,420,906 2,210,453 6,631,360 3,315,680 1,657,840 828,920 414,460 207,230 103,615 310,846 155,423 466,270 233,135 699,406 349,703 1,049,110 524,555 1,573,666 786,833 2,360,500 1,180,250 590,125 1,770,376 885,188 442,594 221,297 663,892 331,946 165,973 497,920 248,960 124,480 62,240 31,120 15,560 7,780 3,890 1,945 5,836 2,918 1,459 4,378 2,189 6,568 3,284 1,642 821 2,464 1,232 616 308 154 77 232 116 58 29 88

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