λ
Harmonic Matrix

1,799,808

27 × 3 × 43 × 109
Abundant Even Composite

1,799,808 has digital root 6. The neighboring primes are 1799803 and 1799839; its proper-divisor sum differs from the starting integer by 1,337,184.

Prime Factor Structure

Factorization String 2^7 × 3 × 43 × 109
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 4,936,800
Proper Divisor Sum 3,136,992
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #1799803 ← → #1799839

Radix Representation

Decimal 1799808
Binary 110110111011010000000 (21 bits)
Octal 0o6673200
Hexadecimal 0x1B7680

Divisor Catalog (60 of 64)

1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 109 128 129 172 192 218 258 327 344 384 436 516 654 688 872 1,032 1,308 1,376 1,744 2,064 2,616 2,752 3,488 4,128 4,687 5,232 5,504 6,976 8,256 9,374 10,464 13,952 14,061 16,512 18,748 20,928 28,122 37,496 41,856 56,244 74,992 112,488 149,984 224,976 299,968

Collatz Trajectory (158 steps to reach 1)

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

1,799,808 899,904 449,952 224,976 112,488 56,244 28,122 14,061 42,184 21,092 10,546 5,273 15,820 7,910 3,955 11,866 5,933 17,800 8,900 4,450 2,225 6,676 3,338 1,669 5,008 2,504 1,252 626 313 940 470 235 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323

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