λ
Harmonic Matrix

9,009,613

109 × 82657
Deficient Odd Composite

9,009,613 has digital root 1. The neighboring primes are 9009601 and 9009631; its proper-divisor sum differs from the starting integer by -8,926,846.

Prime Factor Structure

Factorization String 109 × 82657
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,092,380
Proper Divisor Sum 82,767
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #9009601 ← → #9009631

Radix Representation

Decimal 9009613
Binary 100010010111100111001101 (24 bits)
Octal 0o42274715
Hexadecimal 0x8979CD

Divisor Catalog (4)

1 109 82,657 9,009,613

Collatz Trajectory (256 steps to reach 1)

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

9,009,613 27,028,840 13,514,420 6,757,210 3,378,605 10,135,816 5,067,908 2,533,954 1,266,977 3,800,932 1,900,466 950,233 2,850,700 1,425,350 712,675 2,138,026 1,069,013 3,207,040 1,603,520 801,760 400,880 200,440 100,220 50,110 25,055 75,166 37,583 112,750 56,375 169,126 84,563 253,690 126,845 380,536 190,268 95,134 47,567 142,702 71,351 214,054 107,027 321,082 160,541 481,624 240,812 120,406 60,203 180,610 90,305 270,916 135,458 67,729 203,188 101,594 50,797 152,392 76,196 38,098 19,049 57,148

More profiles

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