12,744,465

3 × 5 × 37 × 22963

12,744,465 factors as 3 × 5 × 37 × 22963. Its 16 positive divisors give a proper-divisor sum of 8,198,703, so this integer is deficient. The Collatz stopping time is 104 steps.

Prime Factor Structure

Factorization String 3 × 5 × 37 × 22963

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 20,943,168

Proper Divisor Sum 8,198,703

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #12744463 ← → #12744527

Radix Representation

Decimal	12744465
Binary	110000100111011100010001 (24 bits)
Octal	0o60473421
Hexadecimal	0xC27711

Divisor Catalog (16)

1 3 5 15 37 111 185 555 22,963 68,889 114,815 344,445 849,631 2,548,893 4,248,155 12,744,465

Collatz Trajectory (104 steps to reach 1)

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

12,744,465 38,233,396 19,116,698 9,558,349 28,675,048 14,337,524 7,168,762 3,584,381 10,753,144 5,376,572 2,688,286 1,344,143 4,032,430 2,016,215 6,048,646 3,024,323 9,072,970 4,536,485 13,609,456 6,804,728 3,402,364 1,701,182 850,591 2,551,774 1,275,887 3,827,662 1,913,831 5,741,494 2,870,747 8,612,242 4,306,121 12,918,364 6,459,182 3,229,591 9,688,774 4,844,387 14,533,162 7,266,581 21,799,744 10,899,872 5,449,936 2,724,968 1,362,484 681,242 340,621 1,021,864 510,932 255,466 127,733 383,200 191,600 95,800 47,900 23,950 11,975 35,926 17,963 53,890 26,945 80,836

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