13,985,376

2⁵ × 3 × 145681

13,985,376 factors as 2^5 × 3 × 145681. Its 24 positive divisors give a proper-divisor sum of 22,726,488, so this integer is abundant. The Collatz stopping time is 130 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 145681

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 36,711,864

Proper Divisor Sum 22,726,488

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #13985353 ← → #13985381

Radix Representation

Decimal	13985376
Binary	110101010110011001100000 (24 bits)
Octal	0o65263140
Hexadecimal	0xD56660

Divisor Catalog (24)

Collatz Trajectory (130 steps to reach 1)

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

13,985,376 6,992,688 3,496,344 1,748,172 874,086 437,043 1,311,130 655,565 1,966,696 983,348 491,674 245,837 737,512 368,756 184,378 92,189 276,568 138,284 69,142 34,571 103,714 51,857 155,572 77,786 38,893 116,680 58,340 29,170 14,585 43,756 21,878 10,939 32,818 16,409 49,228 24,614 12,307 36,922 18,461 55,384 27,692 13,846 6,923 20,770 10,385 31,156 15,578 7,789 23,368 11,684 5,842 2,921 8,764 4,382 2,191 6,574 3,287 9,862 4,931 14,794

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