λ
Ratio Atlas

97,877,179

227 × 541 × 797
Deficient Odd Composite

97,877,179 factors as 227 × 541 × 797. Its 8 positive divisors give a proper-divisor sum of 736,469, so this integer is deficient. The Collatz stopping time is 143 steps.

Prime Factor Structure

Factorization String 227 × 541 × 797
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 98,613,648
Proper Divisor Sum 736,469
Digit Sum / Digital Root 55 (Root: 1)
Adjacent Primes #97877149 ← → #97877183

Radix Representation

Decimal 97877179
Binary 101110101010111110010111011 (27 bits)
Octal 0o565276273
Hexadecimal 0x5D57CBB

Divisor Catalog (8)

Collatz Trajectory (143 steps to reach 1)

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

97,877,179 293,631,538 146,815,769 440,447,308 220,223,654 110,111,827 330,335,482 165,167,741 495,503,224 247,751,612 123,875,806 61,937,903 185,813,710 92,906,855 278,720,566 139,360,283 418,080,850 209,040,425 627,121,276 313,560,638 156,780,319 470,340,958 235,170,479 705,511,438 352,755,719 1,058,267,158 529,133,579 1,587,400,738 793,700,369 2,381,101,108 1,190,550,554 595,275,277 1,785,825,832 892,912,916 446,456,458 223,228,229 669,684,688 334,842,344 167,421,172 83,710,586 41,855,293 125,565,880 62,782,940 31,391,470 15,695,735 47,087,206 23,543,603 70,630,810 35,315,405 105,946,216 52,973,108 26,486,554 13,243,277 39,729,832 19,864,916 9,932,458 4,966,229 14,898,688 7,449,344 3,724,672

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