λ
Harmonic Matrix

837,463

11 × 19 × 4007
Deficient Odd Composite

837,463 has digital root 4. The neighboring primes are 837461 and 837467; its proper-divisor sum differs from the starting integer by -713,006.

Prime Factor Structure

Factorization String 11 × 19 × 4007
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 961,920
Proper Divisor Sum 124,457
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #837461 ← → #837467

Radix Representation

Decimal 837463
Binary 11001100011101010111 (20 bits)
Octal 0o3143527
Hexadecimal 0xCC757

Divisor Catalog (8)

1 11 19 209 4,007 44,077 76,133 837,463

Collatz Trajectory (113 steps to reach 1)

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

837,463 2,512,390 1,256,195 3,768,586 1,884,293 5,652,880 2,826,440 1,413,220 706,610 353,305 1,059,916 529,958 264,979 794,938 397,469 1,192,408 596,204 298,102 149,051 447,154 223,577 670,732 335,366 167,683 503,050 251,525 754,576 377,288 188,644 94,322 47,161 141,484 70,742 35,371 106,114 53,057 159,172 79,586 39,793 119,380 59,690 29,845 89,536 44,768 22,384 11,192 5,596 2,798 1,399 4,198 2,099 6,298 3,149 9,448 4,724 2,362 1,181 3,544 1,772 886

More profiles

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