λ
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Atlas › Integer Profiles › Node 21,878,260

21,878,260

22 × 5 × 61 × 79 × 227
Abundant Even Composite

21,878,260 factors as 2^2 × 5 × 61 × 79 × 227. Its 48 positive divisors give a proper-divisor sum of 25,618,700, so this integer is abundant. The Collatz stopping time is 84 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 61 × 79 × 227
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 47,496,960
Proper Divisor Sum 25,618,700
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #21878257 ← → #21878279

Radix Representation

Decimal 21878260
Binary 1010011011101010111110100 (25 bits)
Octal 0o123352764
Hexadecimal 0x14DD5F4

Divisor Catalog (48)

1 2 4 5 10 20 61 79 122 158 227 244 305 316 395 454 610 790 908 1,135 1,220 1,580 2,270 4,540 4,819 9,638 13,847 17,933 19,276 24,095 27,694 35,866 48,190 55,388 69,235 71,732 89,665 96,380 138,470 179,330 276,940 358,660 1,093,913 2,187,826 4,375,652 5,469,565 10,939,130 21,878,260

Collatz Trajectory (84 steps to reach 1)

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

21,878,260 10,939,130 5,469,565 16,408,696 8,204,348 4,102,174 2,051,087 6,153,262 3,076,631 9,229,894 4,614,947 13,844,842 6,922,421 20,767,264 10,383,632 5,191,816 2,595,908 1,297,954 648,977 1,946,932 973,466 486,733 1,460,200 730,100 365,050 182,525 547,576 273,788 136,894 68,447 205,342 102,671 308,014 154,007 462,022 231,011 693,034 346,517 1,039,552 519,776 259,888 129,944 64,972 32,486 16,243 48,730 24,365 73,096 36,548 18,274 9,137 27,412 13,706 6,853 20,560 10,280 5,140 2,570 1,285 3,856

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