λ
Ratio Atlas

21,081,215

5 × 67 × 62929
Deficient Odd Composite

21,081,215 factors as 5 × 67 × 62929. Its 8 positive divisors give a proper-divisor sum of 4,594,225, so this integer is deficient. The Collatz stopping time is 177 steps.

Prime Factor Structure

Factorization String 5 × 67 × 62929
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 25,675,440
Proper Divisor Sum 4,594,225
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #21081211 ← → #21081217

Radix Representation

Decimal 21081215
Binary 1010000011010110001111111 (25 bits)
Octal 0o120326177
Hexadecimal 0x141AC7F

Divisor Catalog (8)

Collatz Trajectory (177 steps to reach 1)

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

21,081,215 63,243,646 31,621,823 94,865,470 47,432,735 142,298,206 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

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