λ
Harmonic Matrix

1,982,944

25 × 61967
Deficient Even Composite

1,982,944 has digital root 1. The neighboring primes are 1982921 and 1982951; its proper-divisor sum differs from the starting integer by -61,904.

Prime Factor Structure

Factorization String 2^5 × 61967
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 3,903,984
Proper Divisor Sum 1,921,040
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #1982921 ← → #1982951

Radix Representation

Decimal 1982944
Binary 111100100000111100000 (21 bits)
Octal 0o7440740
Hexadecimal 0x1E41E0

Divisor Catalog (12)

1 2 4 8 16 32 61,967 123,934 247,868 495,736 991,472 1,982,944

Collatz Trajectory (153 steps to reach 1)

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

1,982,944 991,472 495,736 247,868 123,934 61,967 185,902 92,951 278,854 139,427 418,282 209,141 627,424 313,712 156,856 78,428 39,214 19,607 58,822 29,411 88,234 44,117 132,352 66,176 33,088 16,544 8,272 4,136 2,068 1,034 517 1,552 776 388 194 97 292 146 73 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364

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