λ
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16,123,710

2 × 3 × 5 × 29 × 43 × 431
Abundant Even Composite

16,123,710 factors as 2 × 3 × 5 × 29 × 43 × 431. Its 64 positive divisors give a proper-divisor sum of 24,933,570, so this integer is abundant. The Collatz stopping time is 368 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 29 × 43 × 431
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 41,057,280
Proper Divisor Sum 24,933,570
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #16123693 ← → #16123711

Radix Representation

Decimal 16123710
Binary 111101100000011100111110 (24 bits)
Octal 0o75403476
Hexadecimal 0xF6073E

Divisor Catalog (60 of 64)

1 2 3 5 6 10 15 29 30 43 58 86 87 129 145 174 215 258 290 430 431 435 645 862 870 1,247 1,290 1,293 2,155 2,494 2,586 3,741 4,310 6,235 6,465 7,482 12,470 12,499 12,930 18,533 18,705 24,998 37,066 37,410 37,497 55,599 62,495 74,994 92,665 111,198 124,990 185,330 187,485 277,995 374,970 537,457 555,990 1,074,914 1,612,371 2,687,285

Collatz Trajectory (368 steps to reach 1)

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

16,123,710 8,061,855 24,185,566 12,092,783 36,278,350 18,139,175 54,417,526 27,208,763 81,626,290 40,813,145 122,439,436 61,219,718 30,609,859 91,829,578 45,914,789 137,744,368 68,872,184 34,436,092 17,218,046 8,609,023 25,827,070 12,913,535 38,740,606 19,370,303 58,110,910 29,055,455 87,166,366 43,583,183 130,749,550 65,374,775 196,124,326 98,062,163 294,186,490 147,093,245 441,279,736 220,639,868 110,319,934 55,159,967 165,479,902 82,739,951 248,219,854 124,109,927 372,329,782 186,164,891 558,494,674 279,247,337 837,742,012 418,871,006 209,435,503 628,306,510 314,153,255 942,459,766 471,229,883 1,413,689,650 706,844,825 2,120,534,476 1,060,267,238 530,133,619 1,590,400,858 795,200,429

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