λ
Harmonic Matrix

1,718,216

23 × 397 × 541
Deficient Even Composite

1,718,216 has digital root 8. The neighboring primes are 1718203 and 1718219; its proper-divisor sum differs from the starting integer by -200,692.

Prime Factor Structure

Factorization String 2^3 × 397 × 541
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,235,740
Proper Divisor Sum 1,517,524
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #1718203 ← → #1718219

Radix Representation

Decimal 1718216
Binary 110100011011111001000 (21 bits)
Octal 0o6433710
Hexadecimal 0x1A37C8

Divisor Catalog (16)

1 2 4 8 397 541 794 1,082 1,588 2,164 3,176 4,328 214,777 429,554 859,108 1,718,216

Collatz Trajectory (52 steps to reach 1)

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

1,718,216 859,108 429,554 214,777 644,332 322,166 161,083 483,250 241,625 724,876 362,438 181,219 543,658 271,829 815,488 407,744 203,872 101,936 50,968 25,484 12,742 6,371 19,114 9,557 28,672 14,336 7,168 3,584 1,792 896 448 224 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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