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15,728,768

27 × 11 × 11171
Abundant Even Composite

15,728,768 factors as 2^7 × 11 × 11171. Its 32 positive divisors give a proper-divisor sum of 18,457,552, so this integer is abundant. The Collatz stopping time is 262 steps.

Prime Factor Structure

Factorization String 2^7 × 11 × 11171
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 34,186,320
Proper Divisor Sum 18,457,552
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #15728767 ← → #15728773

Radix Representation

Decimal 15728768
Binary 111100000000000010000000 (24 bits)
Octal 0o74000200
Hexadecimal 0xF00080

Divisor Catalog (32)

1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1,408 11,171 22,342 44,684 89,368 122,881 178,736 245,762 357,472 491,524 714,944 983,048 1,429,888 1,966,096 3,932,192 7,864,384 15,728,768

Collatz Trajectory (262 steps to reach 1)

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

15,728,768 7,864,384 3,932,192 1,966,096 983,048 491,524 245,762 122,881 368,644 184,322 92,161 276,484 138,242 69,121 207,364 103,682 51,841 155,524 77,762 38,881 116,644 58,322 29,161 87,484 43,742 21,871 65,614 32,807 98,422 49,211 147,634 73,817 221,452 110,726 55,363 166,090 83,045 249,136 124,568 62,284 31,142 15,571 46,714 23,357 70,072 35,036 17,518 8,759 26,278 13,139 39,418 19,709 59,128 29,564 14,782 7,391 22,174 11,087 33,262 16,631

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