97,415,608

2³ × 59 × 173 × 1193

97,415,608 factors as 2^3 × 59 × 173 × 1193. Its 32 positive divisors give a proper-divisor sum of 89,564,792, so this integer is deficient. The Collatz stopping time is 218 steps.

Prime Factor Structure

Factorization String 2^3 × 59 × 173 × 1193

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 186,980,400

Proper Divisor Sum 89,564,792

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #97415587 ← → #97415623

Radix Representation

Decimal	97415608
Binary	101110011100111000110111000 (27 bits)
Octal	0o563470670
Hexadecimal	0x5CE71B8

Divisor Catalog (32)

Collatz Trajectory (218 steps to reach 1)

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

97,415,608 48,707,804 24,353,902 12,176,951 36,530,854 18,265,427 54,796,282 27,398,141 82,194,424 41,097,212 20,548,606 10,274,303 30,822,910 15,411,455 46,234,366 23,117,183 69,351,550 34,675,775 104,027,326 52,013,663 156,040,990 78,020,495 234,061,486 117,030,743 351,092,230 175,546,115 526,638,346 263,319,173 789,957,520 394,978,760 197,489,380 98,744,690 49,372,345 148,117,036 74,058,518 37,029,259 111,087,778 55,543,889 166,631,668 83,315,834 41,657,917 124,973,752 62,486,876 31,243,438 15,621,719 46,865,158 23,432,579 70,297,738 35,148,869 105,446,608 52,723,304 26,361,652 13,180,826 6,590,413 19,771,240 9,885,620 4,942,810 2,471,405 7,414,216 3,707,108

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