21,397,775

5² × 7 × 122273

21,397,775 factors as 5^2 × 7 × 122273. Its 12 positive divisors give a proper-divisor sum of 8,926,177, so this integer is deficient. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 5^2 × 7 × 122273

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 30,323,952

Proper Divisor Sum 8,926,177

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #21397771 ← → #21397787

Radix Representation

Decimal	21397775
Binary	1010001101000000100001111 (25 bits)
Octal	0o121500417
Hexadecimal	0x146810F

Divisor Catalog (12)

1 5 7 25 35 175 122,273 611,365 855,911 3,056,825 4,279,555 21,397,775

Collatz Trajectory (172 steps to reach 1)

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

21,397,775 64,193,326 32,096,663 96,289,990 48,144,995 144,434,986 72,217,493 216,652,480 108,326,240 54,163,120 27,081,560 13,540,780 6,770,390 3,385,195 10,155,586 5,077,793 15,233,380 7,616,690 3,808,345 11,425,036 5,712,518 2,856,259 8,568,778 4,284,389 12,853,168 6,426,584 3,213,292 1,606,646 803,323 2,409,970 1,204,985 3,614,956 1,807,478 903,739 2,711,218 1,355,609 4,066,828 2,033,414 1,016,707 3,050,122 1,525,061 4,575,184 2,287,592 1,143,796 571,898 285,949 857,848 428,924 214,462 107,231 321,694 160,847 482,542 241,271 723,814 361,907 1,085,722 542,861 1,628,584 814,292

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