λ
Harmonic Matrix

8,435,018

2 × 1579 × 2671
Deficient Even Composite

8,435,018 has digital root 2. The neighboring primes are 8434999 and 8435047; its proper-divisor sum differs from the starting integer by -4,204,756.

Prime Factor Structure

Factorization String 2 × 1579 × 2671
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,665,280
Proper Divisor Sum 4,230,262
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #8434999 ← → #8435047

Radix Representation

Decimal 8435018
Binary 100000001011010101001010 (24 bits)
Octal 0o40132512
Hexadecimal 0x80B54A

Divisor Catalog (8)

1 2 1,579 2,671 3,158 5,342 4,217,509 8,435,018

Collatz Trajectory (111 steps to reach 1)

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

8,435,018 4,217,509 12,652,528 6,326,264 3,163,132 1,581,566 790,783 2,372,350 1,186,175 3,558,526 1,779,263 5,337,790 2,668,895 8,006,686 4,003,343 12,010,030 6,005,015 18,015,046 9,007,523 27,022,570 13,511,285 40,533,856 20,266,928 10,133,464 5,066,732 2,533,366 1,266,683 3,800,050 1,900,025 5,700,076 2,850,038 1,425,019 4,275,058 2,137,529 6,412,588 3,206,294 1,603,147 4,809,442 2,404,721 7,214,164 3,607,082 1,803,541 5,410,624 2,705,312 1,352,656 676,328 338,164 169,082 84,541 253,624 126,812 63,406 31,703 95,110 47,555 142,666 71,333 214,000 107,000 53,500

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