10,240,612

2² × 23 × 79 × 1409

10,240,612 factors as 2^2 × 23 × 79 × 1409. Its 24 positive divisors give a proper-divisor sum of 8,709,788, so this integer is deficient. The Collatz stopping time is 75 steps.

Prime Factor Structure

Factorization String 2^2 × 23 × 79 × 1409

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 18,950,400

Proper Divisor Sum 8,709,788

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #10240609 ← → #10240631

Radix Representation

Decimal	10240612
Binary	100111000100001001100100 (24 bits)
Octal	0o47041144
Hexadecimal	0x9C4264

Divisor Catalog (24)

Collatz Trajectory (75 steps to reach 1)

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

10,240,612 5,120,306 2,560,153 7,680,460 3,840,230 1,920,115 5,760,346 2,880,173 8,640,520 4,320,260 2,160,130 1,080,065 3,240,196 1,620,098 810,049 2,430,148 1,215,074 607,537 1,822,612 911,306 455,653 1,366,960 683,480 341,740 170,870 85,435 256,306 128,153 384,460 192,230 96,115 288,346 144,173 432,520 216,260 108,130 54,065 162,196 81,098 40,549 121,648 60,824 30,412 15,206 7,603 22,810 11,405 34,216 17,108 8,554 4,277 12,832 6,416 3,208 1,604 802 401 1,204 602 301

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