λ
Integer Codex

3,780,817

17 × 29 × 7669
Deficient Odd Composite

For 3,780,817, the 8 positive divisors have a total of 4,141,800. Removing 3,780,817 leaves 360,983, which gives the deficient classification.

Prime Factor Structure

Factorization String 17 × 29 × 7669
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,141,800
Proper Divisor Sum 360,983
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #3780811 ← → #3780823

Radix Representation

Decimal 3780817
Binary 1110011011000011010001 (22 bits)
Octal 0o16330321
Hexadecimal 0x39B0D1

Divisor Catalog (8)

1 17 29 493 7,669 130,373 222,401 3,780,817

Collatz Trajectory (159 steps to reach 1)

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

3,780,817 11,342,452 5,671,226 2,835,613 8,506,840 4,253,420 2,126,710 1,063,355 3,190,066 1,595,033 4,785,100 2,392,550 1,196,275 3,588,826 1,794,413 5,383,240 2,691,620 1,345,810 672,905 2,018,716 1,009,358 504,679 1,514,038 757,019 2,271,058 1,135,529 3,406,588 1,703,294 851,647 2,554,942 1,277,471 3,832,414 1,916,207 5,748,622 2,874,311 8,622,934 4,311,467 12,934,402 6,467,201 19,401,604 9,700,802 4,850,401 14,551,204 7,275,602 3,637,801 10,913,404 5,456,702 2,728,351 8,185,054 4,092,527 12,277,582 6,138,791 18,416,374 9,208,187 27,624,562 13,812,281 41,436,844 20,718,422 10,359,211 31,077,634

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