λ
Sigma Notebook

8,745,744

24 × 3 × 7 × 26029
Abundant Even Composite

8,745,744 is even and not a perfect square. Its factorization is 2^4 × 3 × 7 × 26029 and its 40 divisors sum to 25,821,760.

Prime Factor Structure

Factorization String 2^4 × 3 × 7 × 26029
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 25,821,760
Proper Divisor Sum 17,076,016
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #8745743 ← → #8745749

Radix Representation

Decimal 8745744
Binary 100001010111001100010000 (24 bits)
Octal 0o41271420
Hexadecimal 0x857310

Divisor Catalog (40)

1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 26,029 52,058 78,087 104,116 156,174 182,203 208,232 312,348 364,406 416,464 546,609 624,696 728,812 1,093,218 1,249,392 1,457,624 2,186,436 2,915,248 4,372,872 8,745,744

Collatz Trajectory (88 steps to reach 1)

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

8,745,744 4,372,872 2,186,436 1,093,218 546,609 1,639,828 819,914 409,957 1,229,872 614,936 307,468 153,734 76,867 230,602 115,301 345,904 172,952 86,476 43,238 21,619 64,858 32,429 97,288 48,644 24,322 12,161 36,484 18,242 9,121 27,364 13,682 6,841 20,524 10,262 5,131 15,394 7,697 23,092 11,546 5,773 17,320 8,660 4,330 2,165 6,496 3,248 1,624 812 406 203 610 305 916 458 229 688 344 172 86 43

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