4,456,936

2³ × 11 × 50647

4,456,936 factors as 2^3 × 11 × 50647. Its 16 positive divisors give a proper-divisor sum of 4,659,704, so this integer is abundant. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 50647

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,116,640

Proper Divisor Sum 4,659,704

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #4456931 ← → #4456937

Radix Representation

Decimal	4456936
Binary	10001000000000111101000 (23 bits)
Octal	0o21000750
Hexadecimal	0x4401E8

Divisor Catalog (16)

1 2 4 8 11 22 44 88 50,647 101,294 202,588 405,176 557,117 1,114,234 2,228,468 4,456,936

Collatz Trajectory (180 steps to reach 1)

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

4,456,936 2,228,468 1,114,234 557,117 1,671,352 835,676 417,838 208,919 626,758 313,379 940,138 470,069 1,410,208 705,104 352,552 176,276 88,138 44,069 132,208 66,104 33,052 16,526 8,263 24,790 12,395 37,186 18,593 55,780 27,890 13,945 41,836 20,918 10,459 31,378 15,689 47,068 23,534 11,767 35,302 17,651 52,954 26,477 79,432 39,716 19,858 9,929 29,788 14,894 7,447 22,342 11,171 33,514 16,757 50,272 25,136 12,568 6,284 3,142 1,571 4,714

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