λ
Harmonic Matrix

3,038,631

3 × 17 × 59581
Deficient Odd Composite

3,038,631 has digital root 6. The neighboring primes are 3038627 and 3038639; its proper-divisor sum differs from the starting integer by -1,787,358.

Prime Factor Structure

Factorization String 3 × 17 × 59581
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,289,904
Proper Divisor Sum 1,251,273
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3038627 ← → #3038639

Radix Representation

Decimal 3038631
Binary 1011100101110110100111 (22 bits)
Octal 0o13456647
Hexadecimal 0x2E5DA7

Divisor Catalog (8)

1 3 17 51 59,581 178,743 1,012,877 3,038,631

Collatz Trajectory (138 steps to reach 1)

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

3,038,631 9,115,894 4,557,947 13,673,842 6,836,921 20,510,764 10,255,382 5,127,691 15,383,074 7,691,537 23,074,612 11,537,306 5,768,653 17,305,960 8,652,980 4,326,490 2,163,245 6,489,736 3,244,868 1,622,434 811,217 2,433,652 1,216,826 608,413 1,825,240 912,620 456,310 228,155 684,466 342,233 1,026,700 513,350 256,675 770,026 385,013 1,155,040 577,520 288,760 144,380 72,190 36,095 108,286 54,143 162,430 81,215 243,646 121,823 365,470 182,735 548,206 274,103 822,310 411,155 1,233,466 616,733 1,850,200 925,100 462,550 231,275 693,826

More profiles

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