λ
Sigma Notebook

8,297,424

24 × 33 × 19207
Abundant Even Composite

8,297,424 is even and not a perfect square. Its factorization is 2^4 × 3^3 × 19207 and its 40 divisors sum to 23,817,920.

Prime Factor Structure

Factorization String 2^4 × 3^3 × 19207
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 23,817,920
Proper Divisor Sum 15,520,496
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8297413 ← → #8297431

Radix Representation

Decimal 8297424
Binary 11111101001101111010000 (23 bits)
Octal 0o37515720
Hexadecimal 0x7E9BD0

Divisor Catalog (40)

1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 19,207 38,414 57,621 76,828 115,242 153,656 172,863 230,484 307,312 345,726 460,968 518,589 691,452 921,936 1,037,178 1,382,904 2,074,356 2,765,808 4,148,712 8,297,424

Collatz Trajectory (137 steps to reach 1)

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

8,297,424 4,148,712 2,074,356 1,037,178 518,589 1,555,768 777,884 388,942 194,471 583,414 291,707 875,122 437,561 1,312,684 656,342 328,171 984,514 492,257 1,476,772 738,386 369,193 1,107,580 553,790 276,895 830,686 415,343 1,246,030 623,015 1,869,046 934,523 2,803,570 1,401,785 4,205,356 2,102,678 1,051,339 3,154,018 1,577,009 4,731,028 2,365,514 1,182,757 3,548,272 1,774,136 887,068 443,534 221,767 665,302 332,651 997,954 498,977 1,496,932 748,466 374,233 1,122,700 561,350 280,675 842,026 421,013 1,263,040 631,520 315,760

More profiles

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