λ
Harmonic Matrix

5,082,622

2 × 733 × 3467
Deficient Even Composite

5,082,622 has digital root 7. The neighboring primes are 5082619 and 5082629; its proper-divisor sum differs from the starting integer by -2,528,708.

Prime Factor Structure

Factorization String 2 × 733 × 3467
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,636,536
Proper Divisor Sum 2,553,914
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #5082619 ← → #5082629

Radix Representation

Decimal 5082622
Binary 10011011000110111111110 (23 bits)
Octal 0o23306776
Hexadecimal 0x4D8DFE

Divisor Catalog (8)

1 2 733 1,466 3,467 6,934 2,541,311 5,082,622

Collatz Trajectory (294 steps to reach 1)

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

5,082,622 2,541,311 7,623,934 3,811,967 11,435,902 5,717,951 17,153,854 8,576,927 25,730,782 12,865,391 38,596,174 19,298,087 57,894,262 28,947,131 86,841,394 43,420,697 130,262,092 65,131,046 32,565,523 97,696,570 48,848,285 146,544,856 73,272,428 36,636,214 18,318,107 54,954,322 27,477,161 82,431,484 41,215,742 20,607,871 61,823,614 30,911,807 92,735,422 46,367,711 139,103,134 69,551,567 208,654,702 104,327,351 312,982,054 156,491,027 469,473,082 234,736,541 704,209,624 352,104,812 176,052,406 88,026,203 264,078,610 132,039,305 396,117,916 198,058,958 99,029,479 297,088,438 148,544,219 445,632,658 222,816,329 668,448,988 334,224,494 167,112,247 501,336,742 250,668,371

More profiles

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