97,087,288

2³ × 31 × 67 × 5843

97,087,288 factors as 2^3 × 31 × 67 × 5843. Its 32 positive divisors give a proper-divisor sum of 93,660,872, so this integer is deficient. The Collatz stopping time is 86 steps.

Prime Factor Structure

Factorization String 2^3 × 31 × 67 × 5843

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 190,748,160

Proper Divisor Sum 93,660,872

Digit Sum / Digital Root 49 (Root: 4)

Adjacent Primes #97087271 ← → #97087327

Radix Representation

Decimal	97087288
Binary	101110010010110111100111000 (27 bits)
Octal	0o562267470
Hexadecimal	0x5C96F38

Divisor Catalog (32)

Collatz Trajectory (86 steps to reach 1)

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

97,087,288 48,543,644 24,271,822 12,135,911 36,407,734 18,203,867 54,611,602 27,305,801 81,917,404 40,958,702 20,479,351 61,438,054 30,719,027 92,157,082 46,078,541 138,235,624 69,117,812 34,558,906 17,279,453 51,838,360 25,919,180 12,959,590 6,479,795 19,439,386 9,719,693 29,159,080 14,579,540 7,289,770 3,644,885 10,934,656 5,467,328 2,733,664 1,366,832 683,416 341,708 170,854 85,427 256,282 128,141 384,424 192,212 96,106 48,053 144,160 72,080 36,040 18,020 9,010 4,505 13,516 6,758 3,379 10,138 5,069 15,208 7,604 3,802 1,901 5,704 2,852

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