λ
Sigma Notebook

2,744,724

22 × 3 × 127 × 1801
Abundant Even Composite

2,744,724 is even and not a perfect square. Its factorization is 2^2 × 3 × 127 × 1801 and its 24 divisors sum to 6,458,368.

Prime Factor Structure

Factorization String 2^2 × 3 × 127 × 1801
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,458,368
Proper Divisor Sum 3,713,644
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2744723 ← → #2744743

Radix Representation

Decimal 2744724
Binary 1010011110000110010100 (22 bits)
Octal 0o12360624
Hexadecimal 0x29E194

Divisor Catalog (24)

1 2 3 4 6 12 127 254 381 508 762 1,524 1,801 3,602 5,403 7,204 10,806 21,612 228,727 457,454 686,181 914,908 1,372,362 2,744,724

Collatz Trajectory (55 steps to reach 1)

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

2,744,724 1,372,362 686,181 2,058,544 1,029,272 514,636 257,318 128,659 385,978 192,989 578,968 289,484 144,742 72,371 217,114 108,557 325,672 162,836 81,418 40,709 122,128 61,064 30,532 15,266 7,633 22,900 11,450 5,725 17,176 8,588 4,294 2,147 6,442 3,221 9,664 4,832 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

More profiles

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