λ
Harmonic Matrix

1,565,274

2 × 3 × 260879
Abundant Even Composite

1,565,274 has digital root 3. The neighboring primes are 1565269 and 1565281; its proper-divisor sum differs from the starting integer by 12.

Prime Factor Structure

Factorization String 2 × 3 × 260879
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,130,560
Proper Divisor Sum 1,565,286
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1565269 ← → #1565281

Radix Representation

Decimal 1565274
Binary 101111110001001011010 (21 bits)
Octal 0o5761132
Hexadecimal 0x17E25A

Divisor Catalog (8)

1 2 3 6 260,879 521,758 782,637 1,565,274

Collatz Trajectory (163 steps to reach 1)

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

1,565,274 782,637 2,347,912 1,173,956 586,978 293,489 880,468 440,234 220,117 660,352 330,176 165,088 82,544 41,272 20,636 10,318 5,159 15,478 7,739 23,218 11,609 34,828 17,414 8,707 26,122 13,061 39,184 19,592 9,796 4,898 2,449 7,348 3,674 1,837 5,512 2,756 1,378 689 2,068 1,034 517 1,552 776 388 194 97 292 146 73 220 110 55 166 83 250 125 376 188 94 47

More profiles

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