λ
Harmonic Matrix

2,591,650

2 × 52 × 17 × 3049
Deficient Even Composite

2,591,650 has digital root 1. The neighboring primes are 2591623 and 2591669; its proper-divisor sum differs from the starting integer by -77,600.

Prime Factor Structure

Factorization String 2 × 5^2 × 17 × 3049
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,105,700
Proper Divisor Sum 2,514,050
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2591623 ← → #2591669

Radix Representation

Decimal 2591650
Binary 1001111000101110100010 (22 bits)
Octal 0o11705642
Hexadecimal 0x278BA2

Divisor Catalog (24)

1 2 5 10 17 25 34 50 85 170 425 850 3,049 6,098 15,245 30,490 51,833 76,225 103,666 152,450 259,165 518,330 1,295,825 2,591,650

Collatz Trajectory (94 steps to reach 1)

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

2,591,650 1,295,825 3,887,476 1,943,738 971,869 2,915,608 1,457,804 728,902 364,451 1,093,354 546,677 1,640,032 820,016 410,008 205,004 102,502 51,251 153,754 76,877 230,632 115,316 57,658 28,829 86,488 43,244 21,622 10,811 32,434 16,217 48,652 24,326 12,163 36,490 18,245 54,736 27,368 13,684 6,842 3,421 10,264 5,132 2,566 1,283 3,850 1,925 5,776 2,888 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752

More profiles

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