12,744,724

2² × 37 × 86113

12,744,724 factors as 2^2 × 37 × 86113. Its 12 positive divisors give a proper-divisor sum of 10,161,600, so this integer is deficient. The Collatz stopping time is 104 steps.

Prime Factor Structure

Factorization String 2^2 × 37 × 86113

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 22,906,324

Proper Divisor Sum 10,161,600

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #12744709 ← → #12744749

Radix Representation

Decimal	12744724
Binary	110000100111100000010100 (24 bits)
Octal	0o60474024
Hexadecimal	0xC27814

Divisor Catalog (12)

1 2 4 37 74 148 86,113 172,226 344,452 3,186,181 6,372,362 12,744,724

Collatz Trajectory (104 steps to reach 1)

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

12,744,724 6,372,362 3,186,181 9,558,544 4,779,272 2,389,636 1,194,818 597,409 1,792,228 896,114 448,057 1,344,172 672,086 336,043 1,008,130 504,065 1,512,196 756,098 378,049 1,134,148 567,074 283,537 850,612 425,306 212,653 637,960 318,980 159,490 79,745 239,236 119,618 59,809 179,428 89,714 44,857 134,572 67,286 33,643 100,930 50,465 151,396 75,698 37,849 113,548 56,774 28,387 85,162 42,581 127,744 63,872 31,936 15,968 7,984 3,992 1,996 998 499 1,498 749 2,248

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