λ
Sigma Notebook

2,252,484

22 × 32 × 13 × 4813
Abundant Even Composite

2,252,484 is even and not a perfect square. Its factorization is 2^2 × 3^2 × 13 × 4813 and its 36 divisors sum to 6,133,036.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 13 × 4813
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 6,133,036
Proper Divisor Sum 3,880,552
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2252477 ← → #2252489

Radix Representation

Decimal 2252484
Binary 1000100101111011000100 (22 bits)
Octal 0o10457304
Hexadecimal 0x225EC4

Divisor Catalog (36)

1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 4,813 9,626 14,439 19,252 28,878 43,317 57,756 62,569 86,634 125,138 173,268 187,707 250,276 375,414 563,121 750,828 1,126,242 2,252,484

Collatz Trajectory (42 steps to reach 1)

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

2,252,484 1,126,242 563,121 1,689,364 844,682 422,341 1,267,024 633,512 316,756 158,378 79,189 237,568 118,784 59,392 29,696 14,848 7,424 3,712 1,856 928 464 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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