λ
Ratio Atlas

21,521,213

7 × 3074459
Deficient Odd Composite

21,521,213 factors as 7 × 3074459. Its 4 positive divisors give a proper-divisor sum of 3,074,467, so this integer is deficient. The Collatz stopping time is 146 steps.

Prime Factor Structure

Factorization String 7 × 3074459
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 24,595,680
Proper Divisor Sum 3,074,467
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #21521183 ← → #21521249

Radix Representation

Decimal 21521213
Binary 1010010000110001100111101 (25 bits)
Octal 0o122061475
Hexadecimal 0x148633D

Divisor Catalog (4)

Collatz Trajectory (146 steps to reach 1)

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

21,521,213 64,563,640 32,281,820 16,140,910 8,070,455 24,211,366 12,105,683 36,317,050 18,158,525 54,475,576 27,237,788 13,618,894 6,809,447 20,428,342 10,214,171 30,642,514 15,321,257 45,963,772 22,981,886 11,490,943 34,472,830 17,236,415 51,709,246 25,854,623 77,563,870 38,781,935 116,345,806 58,172,903 174,518,710 87,259,355 261,778,066 130,889,033 392,667,100 196,333,550 98,166,775 294,500,326 147,250,163 441,750,490 220,875,245 662,625,736 331,312,868 165,656,434 82,828,217 248,484,652 124,242,326 62,121,163 186,363,490 93,181,745 279,545,236 139,772,618 69,886,309 209,658,928 104,829,464 52,414,732 26,207,366 13,103,683 39,311,050 19,655,525 58,966,576 29,483,288

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