λ
Harmonic Matrix

2,042,455

5 × 408491
Deficient Odd Composite

2,042,455 has digital root 4. The neighboring primes are 2042449 and 2042459; its proper-divisor sum differs from the starting integer by -1,633,958.

Prime Factor Structure

Factorization String 5 × 408491
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,450,952
Proper Divisor Sum 408,497
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #2042449 ← → #2042459

Radix Representation

Decimal 2042455
Binary 111110010101001010111 (21 bits)
Octal 0o7625127
Hexadecimal 0x1F2A57

Divisor Catalog (4)

1 5 408,491 2,042,455

Collatz Trajectory (65 steps to reach 1)

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

2,042,455 6,127,366 3,063,683 9,191,050 4,595,525 13,786,576 6,893,288 3,446,644 1,723,322 861,661 2,584,984 1,292,492 646,246 323,123 969,370 484,685 1,454,056 727,028 363,514 181,757 545,272 272,636 136,318 68,159 204,478 102,239 306,718 153,359 460,078 230,039 690,118 345,059 1,035,178 517,589 1,552,768 776,384 388,192 194,096 97,048 48,524 24,262 12,131 36,394 18,197 54,592 27,296 13,648 6,824 3,412 1,706 853 2,560 1,280 640 320 160 80 40 20 10

More profiles

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