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Atlas › Integer Profiles › Node 26,316,744

26,316,744

23 × 3 × 191 × 5741
Abundant Even Composite

26,316,744 factors as 2^3 × 3 × 191 × 5741. Its 32 positive divisors give a proper-divisor sum of 39,831,096, so this integer is abundant. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 191 × 5741
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 66,147,840
Proper Divisor Sum 39,831,096
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #26316743 ← → #26316749

Radix Representation

Decimal 26316744
Binary 1100100011000111111001000 (25 bits)
Octal 0o144307710
Hexadecimal 0x1918FC8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 191 382 573 764 1,146 1,528 2,292 4,584 5,741 11,482 17,223 22,964 34,446 45,928 68,892 137,784 1,096,531 2,193,062 3,289,593 4,386,124 6,579,186 8,772,248 13,158,372 26,316,744

Collatz Trajectory (118 steps to reach 1)

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

26,316,744 13,158,372 6,579,186 3,289,593 9,868,780 4,934,390 2,467,195 7,401,586 3,700,793 11,102,380 5,551,190 2,775,595 8,326,786 4,163,393 12,490,180 6,245,090 3,122,545 9,367,636 4,683,818 2,341,909 7,025,728 3,512,864 1,756,432 878,216 439,108 219,554 109,777 329,332 164,666 82,333 247,000 123,500 61,750 30,875 92,626 46,313 138,940 69,470 34,735 104,206 52,103 156,310 78,155 234,466 117,233 351,700 175,850 87,925 263,776 131,888 65,944 32,972 16,486 8,243 24,730 12,365 37,096 18,548 9,274 4,637

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