11,625,752

2³ × 29 × 50111

11,625,752 factors as 2^3 × 29 × 50111. Its 16 positive divisors give a proper-divisor sum of 10,924,648, so this integer is deficient. The Collatz stopping time is 171 steps.

Prime Factor Structure

Factorization String 2^3 × 29 × 50111

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 22,550,400

Proper Divisor Sum 10,924,648

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #11625751 ← → #11625763

Radix Representation

Decimal	11625752
Binary	101100010110010100011000 (24 bits)
Octal	0o54262430
Hexadecimal	0xB16518

Divisor Catalog (16)

1 2 4 8 29 58 116 232 50,111 100,222 200,444 400,888 1,453,219 2,906,438 5,812,876 11,625,752

Collatz Trajectory (171 steps to reach 1)

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

11,625,752 5,812,876 2,906,438 1,453,219 4,359,658 2,179,829 6,539,488 3,269,744 1,634,872 817,436 408,718 204,359 613,078 306,539 919,618 459,809 1,379,428 689,714 344,857 1,034,572 517,286 258,643 775,930 387,965 1,163,896 581,948 290,974 145,487 436,462 218,231 654,694 327,347 982,042 491,021 1,473,064 736,532 368,266 184,133 552,400 276,200 138,100 69,050 34,525 103,576 51,788 25,894 12,947 38,842 19,421 58,264 29,132 14,566 7,283 21,850 10,925 32,776 16,388 8,194 4,097 12,292

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