λ
Integer Codex

3,730,494

2 × 3 × 621749
Abundant Even Composite

For 3,730,494, the 8 positive divisors have a total of 7,461,000. Removing 3,730,494 leaves 3,730,506, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 621749
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,461,000
Proper Divisor Sum 3,730,506
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3730483 ← → #3730499

Radix Representation

Decimal 3730494
Binary 1110001110110000111110 (22 bits)
Octal 0o16166076
Hexadecimal 0x38EC3E

Divisor Catalog (8)

1 2 3 6 621,749 1,243,498 1,865,247 3,730,494

Collatz Trajectory (247 steps to reach 1)

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

3,730,494 1,865,247 5,595,742 2,797,871 8,393,614 4,196,807 12,590,422 6,295,211 18,885,634 9,442,817 28,328,452 14,164,226 7,082,113 21,246,340 10,623,170 5,311,585 15,934,756 7,967,378 3,983,689 11,951,068 5,975,534 2,987,767 8,963,302 4,481,651 13,444,954 6,722,477 20,167,432 10,083,716 5,041,858 2,520,929 7,562,788 3,781,394 1,890,697 5,672,092 2,836,046 1,418,023 4,254,070 2,127,035 6,381,106 3,190,553 9,571,660 4,785,830 2,392,915 7,178,746 3,589,373 10,768,120 5,384,060 2,692,030 1,346,015 4,038,046 2,019,023 6,057,070 3,028,535 9,085,606 4,542,803 13,628,410 6,814,205 20,442,616 10,221,308 5,110,654

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