21,621,440

2⁶ × 5 × 67567

21,621,440 factors as 2^6 × 5 × 67567. Its 28 positive divisors give a proper-divisor sum of 29,865,376, so this integer is abundant. The Collatz stopping time is 146 steps.

Prime Factor Structure

Factorization String 2^6 × 5 × 67567

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 28

Divisor Sum (σ) 51,486,816

Proper Divisor Sum 29,865,376

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #21621437 ← → #21621463

Radix Representation

Decimal	21621440
Binary	1010010011110101011000000 (25 bits)
Octal	0o122365300
Hexadecimal	0x149EAC0

Divisor Catalog (28)

Collatz Trajectory (146 steps to reach 1)

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

21,621,440 10,810,720 5,405,360 2,702,680 1,351,340 675,670 337,835 1,013,506 506,753 1,520,260 760,130 380,065 1,140,196 570,098 285,049 855,148 427,574 213,787 641,362 320,681 962,044 481,022 240,511 721,534 360,767 1,082,302 541,151 1,623,454 811,727 2,435,182 1,217,591 3,652,774 1,826,387 5,479,162 2,739,581 8,218,744 4,109,372 2,054,686 1,027,343 3,082,030 1,541,015 4,623,046 2,311,523 6,934,570 3,467,285 10,401,856 5,200,928 2,600,464 1,300,232 650,116 325,058 162,529 487,588 243,794 121,897 365,692 182,846 91,423 274,270 137,135

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