λ
Ratio Atlas

97,406,971

293 × 332447
Deficient Odd Composite

97,406,971 factors as 293 × 332447. Its 4 positive divisors give a proper-divisor sum of 332,741, so this integer is deficient. The Collatz stopping time is 231 steps.

Prime Factor Structure

Factorization String 293 × 332447
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 97,739,712
Proper Divisor Sum 332,741
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #97406963 ← → #97406989

Radix Representation

Decimal 97406971
Binary 101110011100100111111111011 (27 bits)
Octal 0o563447773
Hexadecimal 0x5CE4FFB

Divisor Catalog (4)

Collatz Trajectory (231 steps to reach 1)

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

97,406,971 292,220,914 146,110,457 438,331,372 219,165,686 109,582,843 328,748,530 164,374,265 493,122,796 246,561,398 123,280,699 369,842,098 184,921,049 554,763,148 277,381,574 138,690,787 416,072,362 208,036,181 624,108,544 312,054,272 156,027,136 78,013,568 39,006,784 19,503,392 9,751,696 4,875,848 2,437,924 1,218,962 609,481 1,828,444 914,222 457,111 1,371,334 685,667 2,057,002 1,028,501 3,085,504 1,542,752 771,376 385,688 192,844 96,422 48,211 144,634 72,317 216,952 108,476 54,238 27,119 81,358 40,679 122,038 61,019 183,058 91,529 274,588 137,294 68,647 205,942 102,971

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