λ
Harmonic Matrix

1,422,399

3 × 11 × 43103
Deficient Odd Composite

1,422,399 has digital root 3. The neighboring primes are 1422367 and 1422409; its proper-divisor sum differs from the starting integer by -775,806.

Prime Factor Structure

Factorization String 3 × 11 × 43103
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,068,992
Proper Divisor Sum 646,593
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1422367 ← → #1422409

Radix Representation

Decimal 1422399
Binary 101011011010000111111 (21 bits)
Octal 0o5332077
Hexadecimal 0x15B43F

Divisor Catalog (8)

1 3 11 33 43,103 129,309 474,133 1,422,399

Collatz Trajectory (150 steps to reach 1)

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

1,422,399 4,267,198 2,133,599 6,400,798 3,200,399 9,601,198 4,800,599 14,401,798 7,200,899 21,602,698 10,801,349 32,404,048 16,202,024 8,101,012 4,050,506 2,025,253 6,075,760 3,037,880 1,518,940 759,470 379,735 1,139,206 569,603 1,708,810 854,405 2,563,216 1,281,608 640,804 320,402 160,201 480,604 240,302 120,151 360,454 180,227 540,682 270,341 811,024 405,512 202,756 101,378 50,689 152,068 76,034 38,017 114,052 57,026 28,513 85,540 42,770 21,385 64,156 32,078 16,039 48,118 24,059 72,178 36,089 108,268 54,134

More profiles

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