32,093,048

2³ × 13 × 308587

32,093,048 factors as 2^3 × 13 × 308587. Its 16 positive divisors give a proper-divisor sum of 32,710,432, so this integer is abundant. The Collatz stopping time is 157 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 308587

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 64,803,480

Proper Divisor Sum 32,710,432

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #32093041 ← → #32093069

Radix Representation

Decimal	32093048
Binary	1111010011011001101111000 (25 bits)
Octal	0o172331570
Hexadecimal	0x1E9B378

Divisor Catalog (16)

1 2 4 8 13 26 52 104 308,587 617,174 1,234,348 2,468,696 4,011,631 8,023,262 16,046,524 32,093,048

Collatz Trajectory (157 steps to reach 1)

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

32,093,048 16,046,524 8,023,262 4,011,631 12,034,894 6,017,447 18,052,342 9,026,171 27,078,514 13,539,257 40,617,772 20,308,886 10,154,443 30,463,330 15,231,665 45,694,996 22,847,498 11,423,749 34,271,248 17,135,624 8,567,812 4,283,906 2,141,953 6,425,860 3,212,930 1,606,465 4,819,396 2,409,698 1,204,849 3,614,548 1,807,274 903,637 2,710,912 1,355,456 677,728 338,864 169,432 84,716 42,358 21,179 63,538 31,769 95,308 47,654 23,827 71,482 35,741 107,224 53,612 26,806 13,403 40,210 20,105 60,316 30,158 15,079 45,238 22,619 67,858 33,929

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