λ
Integer Codex

3,712,710

2 × 3 × 5 × 123757
Abundant Even Composite

For 3,712,710, the 16 positive divisors have a total of 8,910,576. Removing 3,712,710 leaves 5,197,866, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 123757
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,910,576
Proper Divisor Sum 5,197,866
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #3712699 ← → #3712711

Radix Representation

Decimal 3712710
Binary 1110001010011011000110 (22 bits)
Octal 0o16123306
Hexadecimal 0x38A6C6

Divisor Catalog (16)

1 2 3 5 6 10 15 30 123,757 247,514 371,271 618,785 742,542 1,237,570 1,856,355 3,712,710

Collatz Trajectory (128 steps to reach 1)

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

3,712,710 1,856,355 5,569,066 2,784,533 8,353,600 4,176,800 2,088,400 1,044,200 522,100 261,050 130,525 391,576 195,788 97,894 48,947 146,842 73,421 220,264 110,132 55,066 27,533 82,600 41,300 20,650 10,325 30,976 15,488 7,744 3,872 1,936 968 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668

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