97,123,332

2² × 3 × 8093611

97,123,332 factors as 2^2 × 3 × 8093611. Its 12 positive divisors give a proper-divisor sum of 129,497,804, so this integer is abundant. The Collatz stopping time is 125 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 8093611

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 226,621,136

Proper Divisor Sum 129,497,804

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #97123303 ← → #97123337

Radix Representation

Decimal	97123332
Binary	101110010011111110000000100 (27 bits)
Octal	0o562376004
Hexadecimal	0x5C9FC04

Divisor Catalog (12)

1 2 3 4 6 12 8,093,611 16,187,222 24,280,833 32,374,444 48,561,666 97,123,332

Collatz Trajectory (125 steps to reach 1)

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

97,123,332 48,561,666 24,280,833 72,842,500 36,421,250 18,210,625 54,631,876 27,315,938 13,657,969 40,973,908 20,486,954 10,243,477 30,730,432 15,365,216 7,682,608 3,841,304 1,920,652 960,326 480,163 1,440,490 720,245 2,160,736 1,080,368 540,184 270,092 135,046 67,523 202,570 101,285 303,856 151,928 75,964 37,982 18,991 56,974 28,487 85,462 42,731 128,194 64,097 192,292 96,146 48,073 144,220 72,110 36,055 108,166 54,083 162,250 81,125 243,376 121,688 60,844 30,422 15,211 45,634 22,817 68,452 34,226 17,113

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