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Atlas › Integer Profiles › Node 21,621,490

21,621,490

2 × 5 × 112 × 107 × 167
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 11^2 × 107 × 167
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 43,436,736
Proper Divisor Sum 21,815,246
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #21621469 ← → #21621491

Radix Representation

Decimal 21621490
Binary 1010010011110101011110010 (25 bits)
Octal 0o122365362
Hexadecimal 0x149EAF2

Divisor Catalog (48)

1 2 5 10 11 22 55 107 110 121 167 214 242 334 535 605 835 1,070 1,177 1,210 1,670 1,837 2,354 3,674 5,885 9,185 11,770 12,947 17,869 18,370 20,207 25,894 35,738 40,414 64,735 89,345 101,035 129,470 178,690 196,559 202,070 393,118 982,795 1,965,590 2,162,149 4,324,298 10,810,745 21,621,490

Collatz Trajectory (203 steps to reach 1)

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

21,621,490 10,810,745 32,432,236 16,216,118 8,108,059 24,324,178 12,162,089 36,486,268 18,243,134 9,121,567 27,364,702 13,682,351 41,047,054 20,523,527 61,570,582 30,785,291 92,355,874 46,177,937 138,533,812 69,266,906 34,633,453 103,900,360 51,950,180 25,975,090 12,987,545 38,962,636 19,481,318 9,740,659 29,221,978 14,610,989 43,832,968 21,916,484 10,958,242 5,479,121 16,437,364 8,218,682 4,109,341 12,328,024 6,164,012 3,082,006 1,541,003 4,623,010 2,311,505 6,934,516 3,467,258 1,733,629 5,200,888 2,600,444 1,300,222 650,111 1,950,334 975,167 2,925,502 1,462,751 4,388,254 2,194,127 6,582,382 3,291,191 9,873,574 4,936,787

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