λ
Ratio Atlas

97,280,615

5 × 523 × 37201
Deficient Odd Composite

97,280,615 factors as 5 × 523 × 37201. Its 8 positive divisors give a proper-divisor sum of 19,682,473, so this integer is deficient. The Collatz stopping time is 200 steps.

Prime Factor Structure

Factorization String 5 × 523 × 37201
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 116,963,088
Proper Divisor Sum 19,682,473
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #97280591 ← → #97280633

Radix Representation

Decimal 97280615
Binary 101110011000110001001100111 (27 bits)
Octal 0o563061147
Hexadecimal 0x5CC6267

Divisor Catalog (8)

Collatz Trajectory (200 steps to reach 1)

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

97,280,615 291,841,846 145,920,923 437,762,770 218,881,385 656,644,156 328,322,078 164,161,039 492,483,118 246,241,559 738,724,678 369,362,339 1,108,087,018 554,043,509 1,662,130,528 831,065,264 415,532,632 207,766,316 103,883,158 51,941,579 155,824,738 77,912,369 233,737,108 116,868,554 58,434,277 175,302,832 87,651,416 43,825,708 21,912,854 10,956,427 32,869,282 16,434,641 49,303,924 24,651,962 12,325,981 36,977,944 18,488,972 9,244,486 4,622,243 13,866,730 6,933,365 20,800,096 10,400,048 5,200,024 2,600,012 1,300,006 650,003 1,950,010 975,005 2,925,016 1,462,508 731,254 365,627 1,096,882 548,441 1,645,324 822,662 411,331 1,233,994 616,997

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