λ
Ratio Atlas

71,210,105

5 × 107 × 133103
Deficient Odd Composite

71,210,105 factors as 5 × 107 × 133103. Its 8 positive divisors give a proper-divisor sum of 15,041,287, so this integer is deficient. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 5 × 107 × 133103
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 86,251,392
Proper Divisor Sum 15,041,287
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #71210063 ← → #71210129

Radix Representation

Decimal 71210105
Binary 100001111101001010001111001 (27 bits)
Octal 0o417512171
Hexadecimal 0x43E9479

Divisor Catalog (8)

Collatz Trajectory (145 steps to reach 1)

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

71,210,105 213,630,316 106,815,158 53,407,579 160,222,738 80,111,369 240,334,108 120,167,054 60,083,527 180,250,582 90,125,291 270,375,874 135,187,937 405,563,812 202,781,906 101,390,953 304,172,860 152,086,430 76,043,215 228,129,646 114,064,823 342,194,470 171,097,235 513,291,706 256,645,853 769,937,560 384,968,780 192,484,390 96,242,195 288,726,586 144,363,293 433,089,880 216,544,940 108,272,470 54,136,235 162,408,706 81,204,353 243,613,060 121,806,530 60,903,265 182,709,796 91,354,898 45,677,449 137,032,348 68,516,174 34,258,087 102,774,262 51,387,131 154,161,394 77,080,697 231,242,092 115,621,046 57,810,523 173,431,570 86,715,785 260,147,356 130,073,678 65,036,839 195,110,518 97,555,259

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