λ
Harmonic Matrix

2,646,327

3 × 59 × 14951
Deficient Odd Composite

2,646,327 has digital root 3. The neighboring primes are 2646269 and 2646353; its proper-divisor sum differs from the starting integer by -1,704,174.

Prime Factor Structure

Factorization String 3 × 59 × 14951
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,588,480
Proper Divisor Sum 942,153
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2646269 ← → #2646353

Radix Representation

Decimal 2646327
Binary 1010000110000100110111 (22 bits)
Octal 0o12060467
Hexadecimal 0x286137

Divisor Catalog (8)

1 3 59 177 14,951 44,853 882,109 2,646,327

Collatz Trajectory (169 steps to reach 1)

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

2,646,327 7,938,982 3,969,491 11,908,474 5,954,237 17,862,712 8,931,356 4,465,678 2,232,839 6,698,518 3,349,259 10,047,778 5,023,889 15,071,668 7,535,834 3,767,917 11,303,752 5,651,876 2,825,938 1,412,969 4,238,908 2,119,454 1,059,727 3,179,182 1,589,591 4,768,774 2,384,387 7,153,162 3,576,581 10,729,744 5,364,872 2,682,436 1,341,218 670,609 2,011,828 1,005,914 502,957 1,508,872 754,436 377,218 188,609 565,828 282,914 141,457 424,372 212,186 106,093 318,280 159,140 79,570 39,785 119,356 59,678 29,839 89,518 44,759 134,278 67,139 201,418 100,709

More profiles

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