λ
Ratio Atlas

97,239,223

97239223
Deficient Odd Prime

97,239,223 factors as 97239223. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 311 steps.

Prime Factor Structure

Factorization String 97239223
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 97,239,224
Proper Divisor Sum 1
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #97239209 ← → #97239271

Radix Representation

Decimal 97239223
Binary 101110010111100000010110111 (27 bits)
Octal 0o562740267
Hexadecimal 0x5CBC0B7

Divisor Catalog (2)

Collatz Trajectory (311 steps to reach 1)

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

97,239,223 291,717,670 145,858,835 437,576,506 218,788,253 656,364,760 328,182,380 164,091,190 82,045,595 246,136,786 123,068,393 369,205,180 184,602,590 92,301,295 276,903,886 138,451,943 415,355,830 207,677,915 623,033,746 311,516,873 934,550,620 467,275,310 233,637,655 700,912,966 350,456,483 1,051,369,450 525,684,725 1,577,054,176 788,527,088 394,263,544 197,131,772 98,565,886 49,282,943 147,848,830 73,924,415 221,773,246 110,886,623 332,659,870 166,329,935 498,989,806 249,494,903 748,484,710 374,242,355 1,122,727,066 561,363,533 1,684,090,600 842,045,300 421,022,650 210,511,325 631,533,976 315,766,988 157,883,494 78,941,747 236,825,242 118,412,621 355,237,864 177,618,932 88,809,466 44,404,733 133,214,200

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