λ
Harmonic Matrix

1,618,964

22 × 227 × 1783
Deficient Even Composite

1,618,964 has digital root 8. The neighboring primes are 1618963 and 1618973; its proper-divisor sum differs from the starting integer by -390,664.

Prime Factor Structure

Factorization String 2^2 × 227 × 1783
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,847,264
Proper Divisor Sum 1,228,300
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #1618963 ← → #1618973

Radix Representation

Decimal 1618964
Binary 110001011010000010100 (21 bits)
Octal 0o6132024
Hexadecimal 0x18B414

Divisor Catalog (12)

1 2 4 227 454 908 1,783 3,566 7,132 404,741 809,482 1,618,964

Collatz Trajectory (163 steps to reach 1)

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

1,618,964 809,482 404,741 1,214,224 607,112 303,556 151,778 75,889 227,668 113,834 56,917 170,752 85,376 42,688 21,344 10,672 5,336 2,668 1,334 667 2,002 1,001 3,004 1,502 751 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152 4,576 2,288 1,144 572 286

More profiles

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