λ
Harmonic Matrix

2,399,788

22 × 17 × 35291
Deficient Even Composite

2,399,788 has digital root 1. The neighboring primes are 2399759 and 2399791; its proper-divisor sum differs from the starting integer by -352,784.

Prime Factor Structure

Factorization String 2^2 × 17 × 35291
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 4,446,792
Proper Divisor Sum 2,047,004
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #2399759 ← → #2399791

Radix Representation

Decimal 2399788
Binary 1001001001111000101100 (22 bits)
Octal 0o11117054
Hexadecimal 0x249E2C

Divisor Catalog (12)

1 2 4 17 34 68 35,291 70,582 141,164 599,947 1,199,894 2,399,788

Collatz Trajectory (205 steps to reach 1)

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

2,399,788 1,199,894 599,947 1,799,842 899,921 2,699,764 1,349,882 674,941 2,024,824 1,012,412 506,206 253,103 759,310 379,655 1,138,966 569,483 1,708,450 854,225 2,562,676 1,281,338 640,669 1,922,008 961,004 480,502 240,251 720,754 360,377 1,081,132 540,566 270,283 810,850 405,425 1,216,276 608,138 304,069 912,208 456,104 228,052 114,026 57,013 171,040 85,520 42,760 21,380 10,690 5,345 16,036 8,018 4,009 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227

More profiles

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