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Atlas › Integer Profiles › Node 9,716,016

9,716,016

24 × 3 × 41 × 4937
Abundant Even Composite

9,716,016 factors as 2^4 × 3 × 41 × 4937. Its 40 positive divisors give a proper-divisor sum of 16,001,088, so this integer is abundant. The Collatz stopping time is 62 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 41 × 4937
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 25,717,104
Proper Divisor Sum 16,001,088
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9715991 ← → #9716017

Radix Representation

Decimal 9716016
Binary 100101000100000100110000 (24 bits)
Octal 0o45040460
Hexadecimal 0x944130

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 492 656 984 1,968 4,937 9,874 14,811 19,748 29,622 39,496 59,244 78,992 118,488 202,417 236,976 404,834 607,251 809,668 1,214,502 1,619,336 2,429,004 3,238,672 4,858,008 9,716,016

Collatz Trajectory (62 steps to reach 1)

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

9,716,016 4,858,008 2,429,004 1,214,502 607,251 1,821,754 910,877 2,732,632 1,366,316 683,158 341,579 1,024,738 512,369 1,537,108 768,554 384,277 1,152,832 576,416 288,208 144,104 72,052 36,026 18,013 54,040 27,020 13,510 6,755 20,266 10,133 30,400 15,200 7,600 3,800 1,900 950 475 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256 128 64 32 16 8

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