13,493,968

2⁴ × 751 × 1123

13,493,968 factors as 2^4 × 751 × 1123. Its 20 positive divisors give a proper-divisor sum of 12,708,720, so this integer is deficient. The Collatz stopping time is 135 steps.

Prime Factor Structure

Factorization String 2^4 × 751 × 1123

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 26,202,688

Proper Divisor Sum 12,708,720

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #13493957 ← → #13493983

Radix Representation

Decimal	13493968
Binary	110011011110011011010000 (24 bits)
Octal	0o63363320
Hexadecimal	0xCDE6D0

Divisor Catalog (20)

Collatz Trajectory (135 steps to reach 1)

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

13,493,968 6,746,984 3,373,492 1,686,746 843,373 2,530,120 1,265,060 632,530 316,265 948,796 474,398 237,199 711,598 355,799 1,067,398 533,699 1,601,098 800,549 2,401,648 1,200,824 600,412 300,206 150,103 450,310 225,155 675,466 337,733 1,013,200 506,600 253,300 126,650 63,325 189,976 94,988 47,494 23,747 71,242 35,621 106,864 53,432 26,716 13,358 6,679 20,038 10,019 30,058 15,029 45,088 22,544 11,272 5,636 2,818 1,409 4,228 2,114 1,057 3,172 1,586 793 2,380

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