13,766,416

2⁴ × 29 × 29669

13,766,416 factors as 2^4 × 29 × 29669. Its 20 positive divisors give a proper-divisor sum of 13,826,684, so this integer is abundant. The Collatz stopping time is 99 steps.

Prime Factor Structure

Factorization String 2^4 × 29 × 29669

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 27,593,100

Proper Divisor Sum 13,826,684

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #13766381 ← → #13766429

Radix Representation

Decimal	13766416
Binary	110100100000111100010000 (24 bits)
Octal	0o64407420
Hexadecimal	0xD20F10

Divisor Catalog (20)

Collatz Trajectory (99 steps to reach 1)

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

13,766,416 6,883,208 3,441,604 1,720,802 860,401 2,581,204 1,290,602 645,301 1,935,904 967,952 483,976 241,988 120,994 60,497 181,492 90,746 45,373 136,120 68,060 34,030 17,015 51,046 25,523 76,570 38,285 114,856 57,428 28,714 14,357 43,072 21,536 10,768 5,384 2,692 1,346 673 2,020 1,010 505 1,516 758 379 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407

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