96,528,352

2⁵ × 61 × 49451

96,528,352 factors as 2^5 × 61 × 49451. Its 24 positive divisors give a proper-divisor sum of 96,631,160, so this integer is abundant. The Collatz stopping time is 143 steps.

Prime Factor Structure

Factorization String 2^5 × 61 × 49451

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 193,159,512

Proper Divisor Sum 96,631,160

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #96528349 ← → #96528353

Radix Representation

Decimal	96528352
Binary	101110000001110011111100000 (27 bits)
Octal	0o560163740
Hexadecimal	0x5C0E7E0

Divisor Catalog (24)

Collatz Trajectory (143 steps to reach 1)

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

96,528,352 48,264,176 24,132,088 12,066,044 6,033,022 3,016,511 9,049,534 4,524,767 13,574,302 6,787,151 20,361,454 10,180,727 30,542,182 15,271,091 45,813,274 22,906,637 68,719,912 34,359,956 17,179,978 8,589,989 25,769,968 12,884,984 6,442,492 3,221,246 1,610,623 4,831,870 2,415,935 7,247,806 3,623,903 10,871,710 5,435,855 16,307,566 8,153,783 24,461,350 12,230,675 36,692,026 18,346,013 55,038,040 27,519,020 13,759,510 6,879,755 20,639,266 10,319,633 30,958,900 15,479,450 7,739,725 23,219,176 11,609,588 5,804,794 2,902,397 8,707,192 4,353,596 2,176,798 1,088,399 3,265,198 1,632,599 4,897,798 2,448,899 7,346,698 3,673,349

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