λ
Sigma Notebook

2,784,624

24 × 3 × 58013
Abundant Even Composite

2,784,624 is even and not a perfect square. Its factorization is 2^4 × 3 × 58013 and its 20 divisors sum to 7,193,736.

Prime Factor Structure

Factorization String 2^4 × 3 × 58013
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 7,193,736
Proper Divisor Sum 4,409,112
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2784619 ← → #2784629

Radix Representation

Decimal 2784624
Binary 1010100111110101110000 (22 bits)
Octal 0o12476560
Hexadecimal 0x2A7D70

Divisor Catalog (20)

1 2 3 4 6 8 12 16 24 48 58,013 116,026 174,039 232,052 348,078 464,104 696,156 928,208 1,392,312 2,784,624

Collatz Trajectory (182 steps to reach 1)

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

2,784,624 1,392,312 696,156 348,078 174,039 522,118 261,059 783,178 391,589 1,174,768 587,384 293,692 146,846 73,423 220,270 110,135 330,406 165,203 495,610 247,805 743,416 371,708 185,854 92,927 278,782 139,391 418,174 209,087 627,262 313,631 940,894 470,447 1,411,342 705,671 2,117,014 1,058,507 3,175,522 1,587,761 4,763,284 2,381,642 1,190,821 3,572,464 1,786,232 893,116 446,558 223,279 669,838 334,919 1,004,758 502,379 1,507,138 753,569 2,260,708 1,130,354 565,177 1,695,532 847,766 423,883 1,271,650 635,825

More profiles

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