λ
Ratio Atlas

97,099,647

3 × 32366549
Deficient Odd Composite

97,099,647 factors as 3 × 32366549. Its 4 positive divisors give a proper-divisor sum of 32,366,553, so this integer is deficient. The Collatz stopping time is 112 steps.

Prime Factor Structure

Factorization String 3 × 32366549
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 129,466,200
Proper Divisor Sum 32,366,553
Digit Sum / Digital Root 51 (Root: 6)
Adjacent Primes #97099643 ← → #97099661

Radix Representation

Decimal 97099647
Binary 101110010011001111101111111 (27 bits)
Octal 0o562317577
Hexadecimal 0x5C99F7F

Divisor Catalog (4)

Collatz Trajectory (112 steps to reach 1)

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

97,099,647 291,298,942 145,649,471 436,948,414 218,474,207 655,422,622 327,711,311 983,133,934 491,566,967 1,474,700,902 737,350,451 2,212,051,354 1,106,025,677 3,318,077,032 1,659,038,516 829,519,258 414,759,629 1,244,278,888 622,139,444 311,069,722 155,534,861 466,604,584 233,302,292 116,651,146 58,325,573 174,976,720 87,488,360 43,744,180 21,872,090 10,936,045 32,808,136 16,404,068 8,202,034 4,101,017 12,303,052 6,151,526 3,075,763 9,227,290 4,613,645 13,840,936 6,920,468 3,460,234 1,730,117 5,190,352 2,595,176 1,297,588 648,794 324,397 973,192 486,596 243,298 121,649 364,948 182,474 91,237 273,712 136,856 68,428 34,214 17,107

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