λ
Harmonic Matrix

4,400,434

2 × 2200217
Deficient Even Composite

4,400,434 has digital root 1. The neighboring primes are 4400413 and 4400443; its proper-divisor sum differs from the starting integer by -2,200,214.

Prime Factor Structure

Factorization String 2 × 2200217
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 6,600,654
Proper Divisor Sum 2,200,220
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #4400413 ← → #4400443

Radix Representation

Decimal 4400434
Binary 10000110010010100110010 (23 bits)
Octal 0o20622462
Hexadecimal 0x432532

Divisor Catalog (4)

1 2 2,200,217 4,400,434

Collatz Trajectory (87 steps to reach 1)

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

4,400,434 2,200,217 6,600,652 3,300,326 1,650,163 4,950,490 2,475,245 7,425,736 3,712,868 1,856,434 928,217 2,784,652 1,392,326 696,163 2,088,490 1,044,245 3,132,736 1,566,368 783,184 391,592 195,796 97,898 48,949 146,848 73,424 36,712 18,356 9,178 4,589 13,768 6,884 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384 692 346 173 520 260 130

More profiles

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