λ
Harmonic Matrix

2,626,803

33 × 271 × 359
Deficient Odd Composite

2,626,803 has digital root 9. The neighboring primes are 2626801 and 2626817; its proper-divisor sum differs from the starting integer by -1,336,806.

Prime Factor Structure

Factorization String 3^3 × 271 × 359
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,916,800
Proper Divisor Sum 1,289,997
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2626801 ← → #2626817

Radix Representation

Decimal 2626803
Binary 1010000001010011110011 (22 bits)
Octal 0o12012363
Hexadecimal 0x2814F3

Divisor Catalog (16)

1 3 9 27 271 359 813 1,077 2,439 3,231 7,317 9,693 97,289 291,867 875,601 2,626,803

Collatz Trajectory (187 steps to reach 1)

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

2,626,803 7,880,410 3,940,205 11,820,616 5,910,308 2,955,154 1,477,577 4,432,732 2,216,366 1,108,183 3,324,550 1,662,275 4,986,826 2,493,413 7,480,240 3,740,120 1,870,060 935,030 467,515 1,402,546 701,273 2,103,820 1,051,910 525,955 1,577,866 788,933 2,366,800 1,183,400 591,700 295,850 147,925 443,776 221,888 110,944 55,472 27,736 13,868 6,934 3,467 10,402 5,201 15,604 7,802 3,901 11,704 5,852 2,926 1,463 4,390 2,195 6,586 3,293 9,880 4,940 2,470 1,235 3,706 1,853 5,560 2,780

More profiles

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