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Atlas › Integer Profiles › Node 26,316,620

26,316,620

22 × 5 × 11 × 37 × 53 × 61
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5 × 11 × 37 × 53 × 61
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 64,120,896
Proper Divisor Sum 37,804,276
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #26316617 ← → #26316637

Radix Representation

Decimal 26316620
Binary 1100100011000111101001100 (25 bits)
Octal 0o144307514
Hexadecimal 0x1918F4C

Divisor Catalog (60 of 96)

1 2 4 5 10 11 20 22 37 44 53 55 61 74 106 110 122 148 185 212 220 244 265 305 370 407 530 583 610 671 740 814 1,060 1,166 1,220 1,342 1,628 1,961 2,035 2,257 2,332 2,684 2,915 3,233 3,355 3,922 4,070 4,514 5,830 6,466 6,710 7,844 8,140 9,028 9,805 11,285 11,660 12,932 13,420 16,165

Collatz Trajectory (198 steps to reach 1)

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

26,316,620 13,158,310 6,579,155 19,737,466 9,868,733 29,606,200 14,803,100 7,401,550 3,700,775 11,102,326 5,551,163 16,653,490 8,326,745 24,980,236 12,490,118 6,245,059 18,735,178 9,367,589 28,102,768 14,051,384 7,025,692 3,512,846 1,756,423 5,269,270 2,634,635 7,903,906 3,951,953 11,855,860 5,927,930 2,963,965 8,891,896 4,445,948 2,222,974 1,111,487 3,334,462 1,667,231 5,001,694 2,500,847 7,502,542 3,751,271 11,253,814 5,626,907 16,880,722 8,440,361 25,321,084 12,660,542 6,330,271 18,990,814 9,495,407 28,486,222 14,243,111 42,729,334 21,364,667 64,094,002 32,047,001 96,141,004 48,070,502 24,035,251 72,105,754 36,052,877

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