λ
Sigma Notebook

8,224,736

25 × 13 × 17 × 1163
Abundant Even Composite

8,224,736 is even and not a perfect square. Its factorization is 2^5 × 13 × 17 × 1163 and its 48 divisors sum to 18,479,664.

Prime Factor Structure

Factorization String 2^5 × 13 × 17 × 1163
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 18,479,664
Proper Divisor Sum 10,254,928
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #8224729 ← → #8224747

Radix Representation

Decimal 8224736
Binary 11111010111111111100000 (23 bits)
Octal 0o37277740
Hexadecimal 0x7D7FE0

Divisor Catalog (48)

1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 416 442 544 884 1,163 1,768 2,326 3,536 4,652 7,072 9,304 15,119 18,608 19,771 30,238 37,216 39,542 60,476 79,084 120,952 158,168 241,904 257,023 316,336 483,808 514,046 632,672 1,028,092 2,056,184 4,112,368 8,224,736

Collatz Trajectory (243 steps to reach 1)

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

8,224,736 4,112,368 2,056,184 1,028,092 514,046 257,023 771,070 385,535 1,156,606 578,303 1,734,910 867,455 2,602,366 1,301,183 3,903,550 1,951,775 5,855,326 2,927,663 8,782,990 4,391,495 13,174,486 6,587,243 19,761,730 9,880,865 29,642,596 14,821,298 7,410,649 22,231,948 11,115,974 5,557,987 16,673,962 8,336,981 25,010,944 12,505,472 6,252,736 3,126,368 1,563,184 781,592 390,796 195,398 97,699 293,098 146,549 439,648 219,824 109,912 54,956 27,478 13,739 41,218 20,609 61,828 30,914 15,457 46,372 23,186 11,593 34,780 17,390 8,695

More profiles

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