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9,814,416

24 × 3 × 41 × 4987
Abundant Even Composite

9,814,416 factors as 2^4 × 3 × 41 × 4987. Its 40 positive divisors give a proper-divisor sum of 16,163,088, so this integer is abundant. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 41 × 4987
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 25,977,504
Proper Divisor Sum 16,163,088
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9814403 ← → #9814417

Radix Representation

Decimal 9814416
Binary 100101011100000110010000 (24 bits)
Octal 0o45340620
Hexadecimal 0x95C190

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 492 656 984 1,968 4,987 9,974 14,961 19,948 29,922 39,896 59,844 79,792 119,688 204,467 239,376 408,934 613,401 817,868 1,226,802 1,635,736 2,453,604 3,271,472 4,907,208 9,814,416

Collatz Trajectory (207 steps to reach 1)

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

9,814,416 4,907,208 2,453,604 1,226,802 613,401 1,840,204 920,102 460,051 1,380,154 690,077 2,070,232 1,035,116 517,558 258,779 776,338 388,169 1,164,508 582,254 291,127 873,382 436,691 1,310,074 655,037 1,965,112 982,556 491,278 245,639 736,918 368,459 1,105,378 552,689 1,658,068 829,034 414,517 1,243,552 621,776 310,888 155,444 77,722 38,861 116,584 58,292 29,146 14,573 43,720 21,860 10,930 5,465 16,396 8,198 4,099 12,298 6,149 18,448 9,224 4,612 2,306 1,153 3,460 1,730

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