λ
Ratio Atlas

71,149,103

59 × 157 × 7681
Deficient Odd Composite

71,149,103 factors as 59 × 157 × 7681. Its 8 positive divisors give a proper-divisor sum of 1,676,257, so this integer is deficient. The Collatz stopping time is 171 steps.

Prime Factor Structure

Factorization String 59 × 157 × 7681
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 72,825,360
Proper Divisor Sum 1,676,257
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #71149087 ← → #71149157

Radix Representation

Decimal 71149103
Binary 100001111011010011000101111 (27 bits)
Octal 0o417323057
Hexadecimal 0x43DA62F

Divisor Catalog (8)

Collatz Trajectory (171 steps to reach 1)

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

71,149,103 213,447,310 106,723,655 320,170,966 160,085,483 480,256,450 240,128,225 720,384,676 360,192,338 180,096,169 540,288,508 270,144,254 135,072,127 405,216,382 202,608,191 607,824,574 303,912,287 911,736,862 455,868,431 1,367,605,294 683,802,647 2,051,407,942 1,025,703,971 3,077,111,914 1,538,555,957 4,615,667,872 2,307,833,936 1,153,916,968 576,958,484 288,479,242 144,239,621 432,718,864 216,359,432 108,179,716 54,089,858 27,044,929 81,134,788 40,567,394 20,283,697 60,851,092 30,425,546 15,212,773 45,638,320 22,819,160 11,409,580 5,704,790 2,852,395 8,557,186 4,278,593 12,835,780 6,417,890 3,208,945 9,626,836 4,813,418 2,406,709 7,220,128 3,610,064 1,805,032 902,516 451,258

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