21,245,920

2⁵ × 5 × 17 × 73 × 107

21,245,920 factors as 2^5 × 5 × 17 × 73 × 107. Its 96 positive divisors give a proper-divisor sum of 33,131,648, so this integer is abundant. The Collatz stopping time is 128 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 17 × 73 × 107

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 54,377,568

Proper Divisor Sum 33,131,648

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #21245911 ← → #21245941

Radix Representation

Decimal	21245920
Binary	1010001000010111111100000 (25 bits)
Octal	0o121027740
Hexadecimal	0x1442FE0

Divisor Catalog (60 of 96)

1 2 4 5 8 10 16 17 20 32 34 40 68 73 80 85 107 136 146 160 170 214 272 292 340 365 428 535 544 584 680 730 856 1,070 1,168 1,241 1,360 1,460 1,712 1,819 2,140 2,336 2,482 2,720 2,920 3,424 3,638 4,280 4,964 5,840 6,205 7,276 7,811 8,560 9,095 9,928 11,680 12,410 14,552 15,622

Collatz Trajectory (128 steps to reach 1)

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

21,245,920 10,622,960 5,311,480 2,655,740 1,327,870 663,935 1,991,806 995,903 2,987,710 1,493,855 4,481,566 2,240,783 6,722,350 3,361,175 10,083,526 5,041,763 15,125,290 7,562,645 22,687,936 11,343,968 5,671,984 2,835,992 1,417,996 708,998 354,499 1,063,498 531,749 1,595,248 797,624 398,812 199,406 99,703 299,110 149,555 448,666 224,333 673,000 336,500 168,250 84,125 252,376 126,188 63,094 31,547 94,642 47,321 141,964 70,982 35,491 106,474 53,237 159,712 79,856 39,928 19,964 9,982 4,991 14,974 7,487 22,462

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