λ
Harmonic Matrix

4,388,964

22 × 3 × 365747
Abundant Even Composite

4,388,964 has digital root 6. The neighboring primes are 4388911 and 4388971; its proper-divisor sum differs from the starting integer by 1,463,016.

Prime Factor Structure

Factorization String 2^2 × 3 × 365747
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 10,240,944
Proper Divisor Sum 5,851,980
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #4388911 ← → #4388971

Radix Representation

Decimal 4388964
Binary 10000101111100001100100 (23 bits)
Octal 0o20574144
Hexadecimal 0x42F864

Divisor Catalog (12)

1 2 3 4 6 12 365,747 731,494 1,097,241 1,462,988 2,194,482 4,388,964

Collatz Trajectory (198 steps to reach 1)

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

4,388,964 2,194,482 1,097,241 3,291,724 1,645,862 822,931 2,468,794 1,234,397 3,703,192 1,851,596 925,798 462,899 1,388,698 694,349 2,083,048 1,041,524 520,762 260,381 781,144 390,572 195,286 97,643 292,930 146,465 439,396 219,698 109,849 329,548 164,774 82,387 247,162 123,581 370,744 185,372 92,686 46,343 139,030 69,515 208,546 104,273 312,820 156,410 78,205 234,616 117,308 58,654 29,327 87,982 43,991 131,974 65,987 197,962 98,981 296,944 148,472 74,236 37,118 18,559 55,678 27,839

More profiles

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