λ
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Atlas › Integer Profiles › Node 44,973,288

44,973,288

23 × 32 × 709 × 881
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^2 × 709 × 881
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 122,112,900
Proper Divisor Sum 77,139,612
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #44973283 ← → #44973319

Radix Representation

Decimal 44973288
Binary 10101011100011110011101000 (26 bits)
Octal 0o253436350
Hexadecimal 0x2AE3CE8

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 36 72 709 881 1,418 1,762 2,127 2,643 2,836 3,524 4,254 5,286 5,672 6,381 7,048 7,929 8,508 10,572 12,762 15,858 17,016 21,144 25,524 31,716 51,048 63,432 624,629 1,249,258 1,873,887 2,498,516 3,747,774 4,997,032 5,621,661 7,495,548 11,243,322 14,991,096 22,486,644 44,973,288

Collatz Trajectory (173 steps to reach 1)

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

44,973,288 22,486,644 11,243,322 5,621,661 16,864,984 8,432,492 4,216,246 2,108,123 6,324,370 3,162,185 9,486,556 4,743,278 2,371,639 7,114,918 3,557,459 10,672,378 5,336,189 16,008,568 8,004,284 4,002,142 2,001,071 6,003,214 3,001,607 9,004,822 4,502,411 13,507,234 6,753,617 20,260,852 10,130,426 5,065,213 15,195,640 7,597,820 3,798,910 1,899,455 5,698,366 2,849,183 8,547,550 4,273,775 12,821,326 6,410,663 19,231,990 9,615,995 28,847,986 14,423,993 43,271,980 21,635,990 10,817,995 32,453,986 16,226,993 48,680,980 24,340,490 12,170,245 36,510,736 18,255,368 9,127,684 4,563,842 2,281,921 6,845,764 3,422,882 1,711,441

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