λ
Harmonic Matrix

4,188,815

5 × 811 × 1033
Deficient Odd Composite

4,188,815 has digital root 8. The neighboring primes are 4188803 and 4188827; its proper-divisor sum differs from the starting integer by -3,339,982.

Prime Factor Structure

Factorization String 5 × 811 × 1033
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,037,648
Proper Divisor Sum 848,833
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #4188803 ← → #4188827

Radix Representation

Decimal 4188815
Binary 1111111110101010001111 (22 bits)
Octal 0o17765217
Hexadecimal 0x3FEA8F

Divisor Catalog (8)

1 5 811 1,033 4,055 5,165 837,763 4,188,815

Collatz Trajectory (136 steps to reach 1)

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

4,188,815 12,566,446 6,283,223 18,849,670 9,424,835 28,274,506 14,137,253 42,411,760 21,205,880 10,602,940 5,301,470 2,650,735 7,952,206 3,976,103 11,928,310 5,964,155 17,892,466 8,946,233 26,838,700 13,419,350 6,709,675 20,129,026 10,064,513 30,193,540 15,096,770 7,548,385 22,645,156 11,322,578 5,661,289 16,983,868 8,491,934 4,245,967 12,737,902 6,368,951 19,106,854 9,553,427 28,660,282 14,330,141 42,990,424 21,495,212 10,747,606 5,373,803 16,121,410 8,060,705 24,182,116 12,091,058 6,045,529 18,136,588 9,068,294 4,534,147 13,602,442 6,801,221 20,403,664 10,201,832 5,100,916 2,550,458 1,275,229 3,825,688 1,912,844 956,422

More profiles

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