14,731,024

2⁴ × 7 × 11² × 1087

14,731,024 factors as 2^4 × 7 × 11^2 × 1087. Its 60 positive divisors give a proper-divisor sum of 21,155,568, so this integer is abundant. The Collatz stopping time is 174 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 11^2 × 1087

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 35,886,592

Proper Divisor Sum 21,155,568

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #14731007 ← → #14731033

Radix Representation

Decimal	14731024
Binary	111000001100011100010000 (24 bits)
Octal	0o70143420
Hexadecimal	0xE0C710

Divisor Catalog (60)

1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 121 154 176 242 308 484 616 847 968 1,087 1,232 1,694 1,936 2,174 3,388 4,348 6,776 7,609 8,696 11,957 13,552 15,218 17,392 23,914 30,436 47,828 60,872 83,699 95,656 121,744 131,527 167,398 191,312 263,054 334,796 526,108 669,592 920,689 1,052,216 1,339,184 1,841,378 2,104,432 3,682,756 7,365,512 14,731,024

Collatz Trajectory (174 steps to reach 1)

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

14,731,024 7,365,512 3,682,756 1,841,378 920,689 2,762,068 1,381,034 690,517 2,071,552 1,035,776 517,888 258,944 129,472 64,736 32,368 16,184 8,092 4,046 2,023 6,070 3,035 9,106 4,553 13,660 6,830 3,415 10,246 5,123 15,370 7,685 23,056 11,528 5,764 2,882 1,441 4,324 2,162 1,081 3,244 1,622 811 2,434 1,217 3,652 1,826 913 2,740 1,370 685 2,056 1,028 514 257 772 386 193 580 290 145 436

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