λ
Harmonic Matrix

3,324,808

23 × 67 × 6203
Deficient Even Composite

3,324,808 has digital root 1. The neighboring primes are 3324793 and 3324817; its proper-divisor sum differs from the starting integer by -321,536.

Prime Factor Structure

Factorization String 2^3 × 67 × 6203
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,328,080
Proper Divisor Sum 3,003,272
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #3324793 ← → #3324817

Radix Representation

Decimal 3324808
Binary 1100101011101110001000 (22 bits)
Octal 0o14535610
Hexadecimal 0x32BB88

Divisor Catalog (16)

1 2 4 8 67 134 268 536 6,203 12,406 24,812 49,624 415,601 831,202 1,662,404 3,324,808

Collatz Trajectory (208 steps to reach 1)

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

3,324,808 1,662,404 831,202 415,601 1,246,804 623,402 311,701 935,104 467,552 233,776 116,888 58,444 29,222 14,611 43,834 21,917 65,752 32,876 16,438 8,219 24,658 12,329 36,988 18,494 9,247 27,742 13,871 41,614 20,807 62,422 31,211 93,634 46,817 140,452 70,226 35,113 105,340 52,670 26,335 79,006 39,503 118,510 59,255 177,766 88,883 266,650 133,325 399,976 199,988 99,994 49,997 149,992 74,996 37,498 18,749 56,248 28,124 14,062 7,031 21,094

More profiles

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