λ
Harmonic Matrix

3,178,364

22 × 7 × 113513
Abundant Even Composite

3,178,364 has digital root 5. The neighboring primes are 3178363 and 3178367; its proper-divisor sum differs from the starting integer by 56.

Prime Factor Structure

Factorization String 2^2 × 7 × 113513
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 6,356,784
Proper Divisor Sum 3,178,420
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3178363 ← → #3178367

Radix Representation

Decimal 3178364
Binary 1100000111111101111100 (22 bits)
Octal 0o14077574
Hexadecimal 0x307F7C

Divisor Catalog (12)

1 2 4 7 14 28 113,513 227,026 454,052 794,591 1,589,182 3,178,364

Collatz Trajectory (146 steps to reach 1)

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

3,178,364 1,589,182 794,591 2,383,774 1,191,887 3,575,662 1,787,831 5,363,494 2,681,747 8,045,242 4,022,621 12,067,864 6,033,932 3,016,966 1,508,483 4,525,450 2,262,725 6,788,176 3,394,088 1,697,044 848,522 424,261 1,272,784 636,392 318,196 159,098 79,549 238,648 119,324 59,662 29,831 89,494 44,747 134,242 67,121 201,364 100,682 50,341 151,024 75,512 37,756 18,878 9,439 28,318 14,159 42,478 21,239 63,718 31,859 95,578 47,789 143,368 71,684 35,842 17,921 53,764 26,882 13,441 40,324 20,162

More profiles

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