λ
Sigma Notebook

7,444,098

2 × 32 × 277 × 1493
Abundant Even Composite

7,444,098 is even and not a perfect square. Its factorization is 2 × 3^2 × 277 × 1493 and its 24 divisors sum to 16,197,948.

Prime Factor Structure

Factorization String 2 × 3^2 × 277 × 1493
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 16,197,948
Proper Divisor Sum 8,753,850
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7444093 ← → #7444109

Radix Representation

Decimal 7444098
Binary 11100011001011010000010 (23 bits)
Octal 0o34313202
Hexadecimal 0x719682

Divisor Catalog (24)

1 2 3 6 9 18 277 554 831 1,493 1,662 2,493 2,986 4,479 4,986 8,958 13,437 26,874 413,561 827,122 1,240,683 2,481,366 3,722,049 7,444,098

Collatz Trajectory (142 steps to reach 1)

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

7,444,098 3,722,049 11,166,148 5,583,074 2,791,537 8,374,612 4,187,306 2,093,653 6,280,960 3,140,480 1,570,240 785,120 392,560 196,280 98,140 49,070 24,535 73,606 36,803 110,410 55,205 165,616 82,808 41,404 20,702 10,351 31,054 15,527 46,582 23,291 69,874 34,937 104,812 52,406 26,203 78,610 39,305 117,916 58,958 29,479 88,438 44,219 132,658 66,329 198,988 99,494 49,747 149,242 74,621 223,864 111,932 55,966 27,983 83,950 41,975 125,926 62,963 188,890 94,445 283,336

More profiles

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