97,033,136

2⁴ × 23 × 263677

97,033,136 factors as 2^4 × 23 × 263677. Its 20 positive divisors give a proper-divisor sum of 99,143,296, so this integer is abundant. The Collatz stopping time is 218 steps.

Prime Factor Structure

Factorization String 2^4 × 23 × 263677

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 196,176,432

Proper Divisor Sum 99,143,296

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #97033117 ← → #97033147

Radix Representation

Decimal	97033136
Binary	101110010001001101110110000 (27 bits)
Octal	0o562115660
Hexadecimal	0x5C89BB0

Divisor Catalog (20)

Collatz Trajectory (218 steps to reach 1)

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

97,033,136 48,516,568 24,258,284 12,129,142 6,064,571 18,193,714 9,096,857 27,290,572 13,645,286 6,822,643 20,467,930 10,233,965 30,701,896 15,350,948 7,675,474 3,837,737 11,513,212 5,756,606 2,878,303 8,634,910 4,317,455 12,952,366 6,476,183 19,428,550 9,714,275 29,142,826 14,571,413 43,714,240 21,857,120 10,928,560 5,464,280 2,732,140 1,366,070 683,035 2,049,106 1,024,553 3,073,660 1,536,830 768,415 2,305,246 1,152,623 3,457,870 1,728,935 5,186,806 2,593,403 7,780,210 3,890,105 11,670,316 5,835,158 2,917,579 8,752,738 4,376,369 13,129,108 6,564,554 3,282,277 9,846,832 4,923,416 2,461,708 1,230,854 615,427

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