λ
Sigma Notebook

3,137,364

22 × 32 × 87149
Abundant Even Composite

3,137,364 is even and not a perfect square. Its factorization is 2^2 × 3^2 × 87149 and its 18 divisors sum to 7,930,650.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 87149
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 7,930,650
Proper Divisor Sum 4,793,286
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3137357 ← → #3137371

Radix Representation

Decimal 3137364
Binary 1011111101111101010100 (22 bits)
Octal 0o13757524
Hexadecimal 0x2FDF54

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 87,149 174,298 261,447 348,596 522,894 784,341 1,045,788 1,568,682 3,137,364

Collatz Trajectory (71 steps to reach 1)

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

3,137,364 1,568,682 784,341 2,353,024 1,176,512 588,256 294,128 147,064 73,532 36,766 18,383 55,150 27,575 82,726 41,363 124,090 62,045 186,136 93,068 46,534 23,267 69,802 34,901 104,704 52,352 26,176 13,088 6,544 3,272 1,636 818 409 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17

More profiles

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