λ
Harmonic Matrix

3,311,105

5 × 7 × 94603
Deficient Odd Composite

3,311,105 has digital root 5. The neighboring primes are 3311101 and 3311117; its proper-divisor sum differs from the starting integer by -2,081,218.

Prime Factor Structure

Factorization String 5 × 7 × 94603
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,540,992
Proper Divisor Sum 1,229,887
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #3311101 ← → #3311117

Radix Representation

Decimal 3311105
Binary 1100101000011000000001 (22 bits)
Octal 0o14503001
Hexadecimal 0x328601

Divisor Catalog (8)

1 5 7 35 94,603 473,015 662,221 3,311,105

Collatz Trajectory (420 steps to reach 1)

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

3,311,105 9,933,316 4,966,658 2,483,329 7,449,988 3,724,994 1,862,497 5,587,492 2,793,746 1,396,873 4,190,620 2,095,310 1,047,655 3,142,966 1,571,483 4,714,450 2,357,225 7,071,676 3,535,838 1,767,919 5,303,758 2,651,879 7,955,638 3,977,819 11,933,458 5,966,729 17,900,188 8,950,094 4,475,047 13,425,142 6,712,571 20,137,714 10,068,857 30,206,572 15,103,286 7,551,643 22,654,930 11,327,465 33,982,396 16,991,198 8,495,599 25,486,798 12,743,399 38,230,198 19,115,099 57,345,298 28,672,649 86,017,948 43,008,974 21,504,487 64,513,462 32,256,731 96,770,194 48,385,097 145,155,292 72,577,646 36,288,823 108,866,470 54,433,235 163,299,706

More profiles

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