8,107,316

2² × 7 × 23 × 12589

8,107,316 factors as 2^2 × 7 × 23 × 12589. Its 24 positive divisors give a proper-divisor sum of 8,813,644, so this integer is abundant. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 23 × 12589

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 16,920,960

Proper Divisor Sum 8,813,644

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #8107313 ← → #8107331

Radix Representation

Decimal	8107316
Binary	11110111011010100110100 (23 bits)
Octal	0o36732464
Hexadecimal	0x7BB534

Divisor Catalog (24)

Collatz Trajectory (142 steps to reach 1)

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

8,107,316 4,053,658 2,026,829 6,080,488 3,040,244 1,520,122 760,061 2,280,184 1,140,092 570,046 285,023 855,070 427,535 1,282,606 641,303 1,923,910 961,955 2,885,866 1,442,933 4,328,800 2,164,400 1,082,200 541,100 270,550 135,275 405,826 202,913 608,740 304,370 152,185 456,556 228,278 114,139 342,418 171,209 513,628 256,814 128,407 385,222 192,611 577,834 288,917 866,752 433,376 216,688 108,344 54,172 27,086 13,543 40,630 20,315 60,946 30,473 91,420 45,710 22,855 68,566 34,283 102,850 51,425

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