λ
Harmonic Matrix

1,841,940

22 × 35 × 5 × 379
Abundant Even Composite

1,841,940 has digital root 9. The neighboring primes are 1841929 and 1841941; its proper-divisor sum differs from the starting integer by 2,125,560.

Prime Factor Structure

Factorization String 2^2 × 3^5 × 5 × 379
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 5,809,440
Proper Divisor Sum 3,967,500
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1841929 ← → #1841941

Radix Representation

Decimal 1841940
Binary 111000001101100010100 (21 bits)
Octal 0o7015424
Hexadecimal 0x1C1B14

Divisor Catalog (60 of 72)

1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 379 405 486 540 758 810 972 1,137 1,215 1,516 1,620 1,895 2,274 2,430 3,411 3,790 4,548 4,860 5,685 6,822 7,580 10,233 11,370 13,644 17,055 20,466 22,740 30,699 34,110 40,932 51,165 61,398 68,220

Collatz Trajectory (171 steps to reach 1)

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

1,841,940 920,970 460,485 1,381,456 690,728 345,364 172,682 86,341 259,024 129,512 64,756 32,378 16,189 48,568 24,284 12,142 6,071 18,214 9,107 27,322 13,661 40,984 20,492 10,246 5,123 15,370 7,685 23,056 11,528 5,764 2,882 1,441 4,324 2,162 1,081 3,244 1,622 811 2,434 1,217 3,652 1,826 913 2,740 1,370 685 2,056 1,028 514 257 772 386 193 580 290 145 436 218 109 328

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