26,124,785

5 × 31² × 5437

26,124,785 factors as 5 × 31^2 × 5437. Its 12 positive divisors give a proper-divisor sum of 6,274,819, so this integer is deficient. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 5 × 31^2 × 5437

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 32,399,604

Proper Divisor Sum 6,274,819

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #26124731 ← → #26124797

Radix Representation

Decimal	26124785
Binary	1100011101010000111110001 (25 bits)
Octal	0o143520761
Hexadecimal	0x18EA1F1

Divisor Catalog (12)

1 5 31 155 961 4,805 5,437 27,185 168,547 842,735 5,224,957 26,124,785

Collatz Trajectory (123 steps to reach 1)

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

26,124,785 78,374,356 39,187,178 19,593,589 58,780,768 29,390,384 14,695,192 7,347,596 3,673,798 1,836,899 5,510,698 2,755,349 8,266,048 4,133,024 2,066,512 1,033,256 516,628 258,314 129,157 387,472 193,736 96,868 48,434 24,217 72,652 36,326 18,163 54,490 27,245 81,736 40,868 20,434 10,217 30,652 15,326 7,663 22,990 11,495 34,486 17,243 51,730 25,865 77,596 38,798 19,399 58,198 29,099 87,298 43,649 130,948 65,474 32,737 98,212 49,106 24,553 73,660 36,830 18,415 55,246 27,623

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