21,378,490

2 × 5 × 7 × 305407

21,378,490 factors as 2 × 5 × 7 × 305407. Its 16 positive divisors give a proper-divisor sum of 22,600,262, so this integer is abundant. The Collatz stopping time is 265 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 305407

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 43,978,752

Proper Divisor Sum 22,600,262

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #21378457 ← → #21378491

Radix Representation

Decimal	21378490
Binary	1010001100011010110111010 (25 bits)
Octal	0o121432672
Hexadecimal	0x14635BA

Divisor Catalog (16)

1 2 5 7 10 14 35 70 305,407 610,814 1,527,035 2,137,849 3,054,070 4,275,698 10,689,245 21,378,490

Collatz Trajectory (265 steps to reach 1)

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

21,378,490 10,689,245 32,067,736 16,033,868 8,016,934 4,008,467 12,025,402 6,012,701 18,038,104 9,019,052 4,509,526 2,254,763 6,764,290 3,382,145 10,146,436 5,073,218 2,536,609 7,609,828 3,804,914 1,902,457 5,707,372 2,853,686 1,426,843 4,280,530 2,140,265 6,420,796 3,210,398 1,605,199 4,815,598 2,407,799 7,223,398 3,611,699 10,835,098 5,417,549 16,252,648 8,126,324 4,063,162 2,031,581 6,094,744 3,047,372 1,523,686 761,843 2,285,530 1,142,765 3,428,296 1,714,148 857,074 428,537 1,285,612 642,806 321,403 964,210 482,105 1,446,316 723,158 361,579 1,084,738 542,369 1,627,108 813,554

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