λ
Integer Codex

3,106,590

2 × 3 × 5 × 103553
Abundant Even Composite

For 3,106,590, the 16 positive divisors have a total of 7,455,888. Removing 3,106,590 leaves 4,349,298, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 103553
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,455,888
Proper Divisor Sum 4,349,298
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3106577 ← → #3106601

Radix Representation

Decimal 3106590
Binary 1011110110011100011110 (22 bits)
Octal 0o13663436
Hexadecimal 0x2F671E

Divisor Catalog (16)

1 2 3 5 6 10 15 30 103,553 207,106 310,659 517,765 621,318 1,035,530 1,553,295 3,106,590

Collatz Trajectory (151 steps to reach 1)

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

3,106,590 1,553,295 4,659,886 2,329,943 6,989,830 3,494,915 10,484,746 5,242,373 15,727,120 7,863,560 3,931,780 1,965,890 982,945 2,948,836 1,474,418 737,209 2,211,628 1,105,814 552,907 1,658,722 829,361 2,488,084 1,244,042 622,021 1,866,064 933,032 466,516 233,258 116,629 349,888 174,944 87,472 43,736 21,868 10,934 5,467 16,402 8,201 24,604 12,302 6,151 18,454 9,227 27,682 13,841 41,524 20,762 10,381 31,144 15,572 7,786 3,893 11,680 5,840 2,920 1,460 730 365 1,096 548

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