λ
Harmonic Matrix

1,609,940

22 × 5 × 101 × 797
Abundant Even Composite

1,609,940 has digital root 2. The neighboring primes are 1609913 and 1609969; its proper-divisor sum differs from the starting integer by 198,752.

Prime Factor Structure

Factorization String 2^2 × 5 × 101 × 797
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,418,632
Proper Divisor Sum 1,808,692
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #1609913 ← → #1609969

Radix Representation

Decimal 1609940
Binary 110001001000011010100 (21 bits)
Octal 0o6110324
Hexadecimal 0x1890D4

Divisor Catalog (24)

1 2 4 5 10 20 101 202 404 505 797 1,010 1,594 2,020 3,188 3,985 7,970 15,940 80,497 160,994 321,988 402,485 804,970 1,609,940

Collatz Trajectory (44 steps to reach 1)

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

1,609,940 804,970 402,485 1,207,456 603,728 301,864 150,932 75,466 37,733 113,200 56,600 28,300 14,150 7,075 21,226 10,613 31,840 15,920 7,960 3,980 1,990 995 2,986 1,493 4,480 2,240 1,120 560 280 140 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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