97,162,252

2² × 11 × 929 × 2377

97,162,252 factors as 2^2 × 11 × 929 × 2377. Its 24 positive divisors give a proper-divisor sum of 88,607,108, so this integer is deficient. The Collatz stopping time is 218 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 929 × 2377

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 185,769,360

Proper Divisor Sum 88,607,108

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #97162249 ← → #97162271

Radix Representation

Decimal	97162252
Binary	101110010101001010000001100 (27 bits)
Octal	0o562512014
Hexadecimal	0x5CA940C

Divisor Catalog (24)

Collatz Trajectory (218 steps to reach 1)

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

97,162,252 48,581,126 24,290,563 72,871,690 36,435,845 109,307,536 54,653,768 27,326,884 13,663,442 6,831,721 20,495,164 10,247,582 5,123,791 15,371,374 7,685,687 23,057,062 11,528,531 34,585,594 17,292,797 51,878,392 25,939,196 12,969,598 6,484,799 19,454,398 9,727,199 29,181,598 14,590,799 43,772,398 21,886,199 65,658,598 32,829,299 98,487,898 49,243,949 147,731,848 73,865,924 36,932,962 18,466,481 55,399,444 27,699,722 13,849,861 41,549,584 20,774,792 10,387,396 5,193,698 2,596,849 7,790,548 3,895,274 1,947,637 5,842,912 2,921,456 1,460,728 730,364 365,182 182,591 547,774 273,887 821,662 410,831 1,232,494 616,247

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