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Atlas › Integer Profiles › Node 21,991,998

21,991,998

2 × 3 × 7 × 593 × 883
Abundant Even Composite

21,991,998 factors as 2 × 3 × 7 × 593 × 883. Its 32 positive divisors give a proper-divisor sum of 28,417,218, so this integer is abundant. The Collatz stopping time is 309 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 593 × 883
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 50,409,216
Proper Divisor Sum 28,417,218
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #21991997 ← → #21992017

Radix Representation

Decimal 21991998
Binary 1010011111001001000111110 (25 bits)
Octal 0o123711076
Hexadecimal 0x14F923E

Divisor Catalog (32)

1 2 3 6 7 14 21 42 593 883 1,186 1,766 1,779 2,649 3,558 4,151 5,298 6,181 8,302 12,362 12,453 18,543 24,906 37,086 523,619 1,047,238 1,570,857 3,141,714 3,665,333 7,330,666 10,995,999 21,991,998

Collatz Trajectory (309 steps to reach 1)

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

21,991,998 10,995,999 32,987,998 16,493,999 49,481,998 24,740,999 74,222,998 37,111,499 111,334,498 55,667,249 167,001,748 83,500,874 41,750,437 125,251,312 62,625,656 31,312,828 15,656,414 7,828,207 23,484,622 11,742,311 35,226,934 17,613,467 52,840,402 26,420,201 79,260,604 39,630,302 19,815,151 59,445,454 29,722,727 89,168,182 44,584,091 133,752,274 66,876,137 200,628,412 100,314,206 50,157,103 150,471,310 75,235,655 225,706,966 112,853,483 338,560,450 169,280,225 507,840,676 253,920,338 126,960,169 380,880,508 190,440,254 95,220,127 285,660,382 142,830,191 428,490,574 214,245,287 642,735,862 321,367,931 964,103,794 482,051,897 1,446,155,692 723,077,846 361,538,923 1,084,616,770

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