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Atlas › Integer Profiles › Node 26,537,456

26,537,456

24 × 11 × 131 × 1151
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 11 × 131 × 1151
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 56,567,808
Proper Divisor Sum 30,030,352
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #26537453 ← → #26537461

Radix Representation

Decimal 26537456
Binary 1100101001110110111110000 (25 bits)
Octal 0o145166760
Hexadecimal 0x194EDF0

Divisor Catalog (40)

1 2 4 8 11 16 22 44 88 131 176 262 524 1,048 1,151 1,441 2,096 2,302 2,882 4,604 5,764 9,208 11,528 12,661 18,416 23,056 25,322 50,644 101,288 150,781 202,576 301,562 603,124 1,206,248 1,658,591 2,412,496 3,317,182 6,634,364 13,268,728 26,537,456

Collatz Trajectory (149 steps to reach 1)

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

26,537,456 13,268,728 6,634,364 3,317,182 1,658,591 4,975,774 2,487,887 7,463,662 3,731,831 11,195,494 5,597,747 16,793,242 8,396,621 25,189,864 12,594,932 6,297,466 3,148,733 9,446,200 4,723,100 2,361,550 1,180,775 3,542,326 1,771,163 5,313,490 2,656,745 7,970,236 3,985,118 1,992,559 5,977,678 2,988,839 8,966,518 4,483,259 13,449,778 6,724,889 20,174,668 10,087,334 5,043,667 15,131,002 7,565,501 22,696,504 11,348,252 5,674,126 2,837,063 8,511,190 4,255,595 12,766,786 6,383,393 19,150,180 9,575,090 4,787,545 14,362,636 7,181,318 3,590,659 10,771,978 5,385,989 16,157,968 8,078,984 4,039,492 2,019,746 1,009,873

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