21,261,275

5² × 7 × 121493

21,261,275 factors as 5^2 × 7 × 121493. Its 12 positive divisors give a proper-divisor sum of 8,869,237, so this integer is deficient. The Collatz stopping time is 221 steps.

Prime Factor Structure

Factorization String 5^2 × 7 × 121493

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 30,130,512

Proper Divisor Sum 8,869,237

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #21261259 ← → #21261277

Radix Representation

Decimal	21261275
Binary	1010001000110101111011011 (25 bits)
Octal	0o121065733
Hexadecimal	0x1446BDB

Divisor Catalog (12)

1 5 7 25 35 175 121,493 607,465 850,451 3,037,325 4,252,255 21,261,275

Collatz Trajectory (221 steps to reach 1)

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

21,261,275 63,783,826 31,891,913 95,675,740 47,837,870 23,918,935 71,756,806 35,878,403 107,635,210 53,817,605 161,452,816 80,726,408 40,363,204 20,181,602 10,090,801 30,272,404 15,136,202 7,568,101 22,704,304 11,352,152 5,676,076 2,838,038 1,419,019 4,257,058 2,128,529 6,385,588 3,192,794 1,596,397 4,789,192 2,394,596 1,197,298 598,649 1,795,948 897,974 448,987 1,346,962 673,481 2,020,444 1,010,222 505,111 1,515,334 757,667 2,273,002 1,136,501 3,409,504 1,704,752 852,376 426,188 213,094 106,547 319,642 159,821 479,464 239,732 119,866 59,933 179,800 89,900 44,950 22,475

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