λ
Harmonic Matrix

1,808,324

22 × 7 × 17 × 29 × 131
Abundant Even Composite

1,808,324 has digital root 8. The neighboring primes are 1808309 and 1808327; its proper-divisor sum differs from the starting integer by 375,032.

Prime Factor Structure

Factorization String 2^2 × 7 × 17 × 29 × 131
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 3,991,680
Proper Divisor Sum 2,183,356
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #1808309 ← → #1808327

Radix Representation

Decimal 1808324
Binary 110111001011111000100 (21 bits)
Octal 0o6713704
Hexadecimal 0x1B97C4

Divisor Catalog (48)

1 2 4 7 14 17 28 29 34 58 68 116 119 131 203 238 262 406 476 493 524 812 917 986 1,834 1,972 2,227 3,451 3,668 3,799 4,454 6,902 7,598 8,908 13,804 15,196 15,589 26,593 31,178 53,186 62,356 64,583 106,372 129,166 258,332 452,081 904,162 1,808,324

Collatz Trajectory (65 steps to reach 1)

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

1,808,324 904,162 452,081 1,356,244 678,122 339,061 1,017,184 508,592 254,296 127,148 63,574 31,787 95,362 47,681 143,044 71,522 35,761 107,284 53,642 26,821 80,464 40,232 20,116 10,058 5,029 15,088 7,544 3,772 1,886 943 2,830 1,415 4,246 2,123 6,370 3,185 9,556 4,778 2,389 7,168 3,584 1,792 896 448 224 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10

More profiles

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