17,311,264

2⁵ × 37 × 14621

17,311,264 factors as 2^5 × 37 × 14621. Its 24 positive divisors give a proper-divisor sum of 17,693,804, so this integer is abundant. The Collatz stopping time is 120 steps.

Prime Factor Structure

Factorization String 2^5 × 37 × 14621

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 35,005,068

Proper Divisor Sum 17,693,804

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #17311213 ← → #17311277

Radix Representation

Decimal	17311264
Binary	1000010000010011000100000 (25 bits)
Octal	0o102023040
Hexadecimal	0x1082620

Divisor Catalog (24)

Collatz Trajectory (120 steps to reach 1)

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

17,311,264 8,655,632 4,327,816 2,163,908 1,081,954 540,977 1,622,932 811,466 405,733 1,217,200 608,600 304,300 152,150 76,075 228,226 114,113 342,340 171,170 85,585 256,756 128,378 64,189 192,568 96,284 48,142 24,071 72,214 36,107 108,322 54,161 162,484 81,242 40,621 121,864 60,932 30,466 15,233 45,700 22,850 11,425 34,276 17,138 8,569 25,708 12,854 6,427 19,282 9,641 28,924 14,462 7,231 21,694 10,847 32,542 16,271 48,814 24,407 73,222 36,611 109,834

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