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Atlas › Integer Profiles › Node 25,699,400

25,699,400

23 × 52 × 19 × 6763
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5^2 × 19 × 6763
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 62,905,200
Proper Divisor Sum 37,205,800
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #25699379 ← → #25699439

Radix Representation

Decimal 25699400
Binary 1100010000010010001001000 (25 bits)
Octal 0o142022110
Hexadecimal 0x1882448

Divisor Catalog (48)

1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1,900 3,800 6,763 13,526 27,052 33,815 54,104 67,630 128,497 135,260 169,075 256,994 270,520 338,150 513,988 642,485 676,300 1,027,976 1,284,970 1,352,600 2,569,940 3,212,425 5,139,880 6,424,850 12,849,700 25,699,400

Collatz Trajectory (97 steps to reach 1)

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

25,699,400 12,849,700 6,424,850 3,212,425 9,637,276 4,818,638 2,409,319 7,227,958 3,613,979 10,841,938 5,420,969 16,262,908 8,131,454 4,065,727 12,197,182 6,098,591 18,295,774 9,147,887 27,443,662 13,721,831 41,165,494 20,582,747 61,748,242 30,874,121 92,622,364 46,311,182 23,155,591 69,466,774 34,733,387 104,200,162 52,100,081 156,300,244 78,150,122 39,075,061 117,225,184 58,612,592 29,306,296 14,653,148 7,326,574 3,663,287 10,989,862 5,494,931 16,484,794 8,242,397 24,727,192 12,363,596 6,181,798 3,090,899 9,272,698 4,636,349 13,909,048 6,954,524 3,477,262 1,738,631 5,215,894 2,607,947 7,823,842 3,911,921 11,735,764 5,867,882

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