λ
Integer Codex

3,359,319

3 × 17 × 199 × 331
Deficient Odd Composite

For 3,359,319, the 16 positive divisors have a total of 4,780,800. Removing 3,359,319 leaves 1,421,481, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 17 × 199 × 331
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,780,800
Proper Divisor Sum 1,421,481
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3359309 ← → #3359327

Radix Representation

Decimal 3359319
Binary 1100110100001001010111 (22 bits)
Octal 0o14641127
Hexadecimal 0x334257

Divisor Catalog (16)

1 3 17 51 199 331 597 993 3,383 5,627 10,149 16,881 65,869 197,607 1,119,773 3,359,319

Collatz Trajectory (358 steps to reach 1)

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

3,359,319 10,077,958 5,038,979 15,116,938 7,558,469 22,675,408 11,337,704 5,668,852 2,834,426 1,417,213 4,251,640 2,125,820 1,062,910 531,455 1,594,366 797,183 2,391,550 1,195,775 3,587,326 1,793,663 5,380,990 2,690,495 8,071,486 4,035,743 12,107,230 6,053,615 18,160,846 9,080,423 27,241,270 13,620,635 40,861,906 20,430,953 61,292,860 30,646,430 15,323,215 45,969,646 22,984,823 68,954,470 34,477,235 103,431,706 51,715,853 155,147,560 77,573,780 38,786,890 19,393,445 58,180,336 29,090,168 14,545,084 7,272,542 3,636,271 10,908,814 5,454,407 16,363,222 8,181,611 24,544,834 12,272,417 36,817,252 18,408,626 9,204,313 27,612,940

More profiles

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