13,414,432

2⁵ × 419201

13,414,432 factors as 2^5 × 419201. Its 12 positive divisors give a proper-divisor sum of 12,995,294, so this integer is deficient. The Collatz stopping time is 135 steps.

Prime Factor Structure

Factorization String 2^5 × 419201

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 26,409,726

Proper Divisor Sum 12,995,294

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #13414403 ← → #13414463

Radix Representation

Decimal	13414432
Binary	110011001011000000100000 (24 bits)
Octal	0o63130040
Hexadecimal	0xCCB020

Divisor Catalog (12)

1 2 4 8 16 32 419,201 838,402 1,676,804 3,353,608 6,707,216 13,414,432

Collatz Trajectory (135 steps to reach 1)

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

13,414,432 6,707,216 3,353,608 1,676,804 838,402 419,201 1,257,604 628,802 314,401 943,204 471,602 235,801 707,404 353,702 176,851 530,554 265,277 795,832 397,916 198,958 99,479 298,438 149,219 447,658 223,829 671,488 335,744 167,872 83,936 41,968 20,984 10,492 5,246 2,623 7,870 3,935 11,806 5,903 17,710 8,855 26,566 13,283 39,850 19,925 59,776 29,888 14,944 7,472 3,736 1,868 934 467 1,402 701 2,104 1,052 526 263 790 395

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