λ
Harmonic Matrix

718,786

2 × 53 × 6781
Deficient Even Composite

718,786 has digital root 1. The neighboring primes are 718759 and 718801; its proper-divisor sum differs from the starting integer by -338,888.

Prime Factor Structure

Factorization String 2 × 53 × 6781
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,098,684
Proper Divisor Sum 379,898
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #718759 ← → #718801

Radix Representation

Decimal 718786
Binary 10101111011111000010 (20 bits)
Octal 0o2573702
Hexadecimal 0xAF7C2

Divisor Catalog (8)

1 2 53 106 6,781 13,562 359,393 718,786

Collatz Trajectory (105 steps to reach 1)

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

718,786 359,393 1,078,180 539,090 269,545 808,636 404,318 202,159 606,478 303,239 909,718 454,859 1,364,578 682,289 2,046,868 1,023,434 511,717 1,535,152 767,576 383,788 191,894 95,947 287,842 143,921 431,764 215,882 107,941 323,824 161,912 80,956 40,478 20,239 60,718 30,359 91,078 45,539 136,618 68,309 204,928 102,464 51,232 25,616 12,808 6,404 3,202 1,601 4,804 2,402 1,201 3,604 1,802 901 2,704 1,352 676 338 169 508 254 127

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