λ
Harmonic Matrix

5,215,586

2 × 2607793
Deficient Even Composite

5,215,586 has digital root 5. The neighboring primes are 5215579 and 5215597; its proper-divisor sum differs from the starting integer by -2,607,790.

Prime Factor Structure

Factorization String 2 × 2607793
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,823,382
Proper Divisor Sum 2,607,796
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #5215579 ← → #5215597

Radix Representation

Decimal 5215586
Binary 10011111001010101100010 (23 bits)
Octal 0o23712542
Hexadecimal 0x4F9562

Divisor Catalog (4)

1 2 2,607,793 5,215,586

Collatz Trajectory (95 steps to reach 1)

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

5,215,586 2,607,793 7,823,380 3,911,690 1,955,845 5,867,536 2,933,768 1,466,884 733,442 366,721 1,100,164 550,082 275,041 825,124 412,562 206,281 618,844 309,422 154,711 464,134 232,067 696,202 348,101 1,044,304 522,152 261,076 130,538 65,269 195,808 97,904 48,952 24,476 12,238 6,119 18,358 9,179 27,538 13,769 41,308 20,654 10,327 30,982 15,491 46,474 23,237 69,712 34,856 17,428 8,714 4,357 13,072 6,536 3,268 1,634 817 2,452 1,226 613 1,840 920

More profiles

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