32,096,876

2² × 7 × 251 × 4567

32,096,876 factors as 2^2 × 7 × 251 × 4567. Its 24 positive divisors give a proper-divisor sum of 32,366,740, so this integer is abundant. The Collatz stopping time is 263 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 251 × 4567

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 64,463,616

Proper Divisor Sum 32,366,740

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #32096851 ← → #32096887

Radix Representation

Decimal	32096876
Binary	1111010011100001001101100 (25 bits)
Octal	0o172341154
Hexadecimal	0x1E9C26C

Divisor Catalog (24)

Collatz Trajectory (263 steps to reach 1)

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

32,096,876 16,048,438 8,024,219 24,072,658 12,036,329 36,108,988 18,054,494 9,027,247 27,081,742 13,540,871 40,622,614 20,311,307 60,933,922 30,466,961 91,400,884 45,700,442 22,850,221 68,550,664 34,275,332 17,137,666 8,568,833 25,706,500 12,853,250 6,426,625 19,279,876 9,639,938 4,819,969 14,459,908 7,229,954 3,614,977 10,844,932 5,422,466 2,711,233 8,133,700 4,066,850 2,033,425 6,100,276 3,050,138 1,525,069 4,575,208 2,287,604 1,143,802 571,901 1,715,704 857,852 428,926 214,463 643,390 321,695 965,086 482,543 1,447,630 723,815 2,171,446 1,085,723 3,257,170 1,628,585 4,885,756 2,442,878 1,221,439

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