λ
Harmonic Matrix

4,288,838

2 × 2144419
Deficient Even Composite

4,288,838 has digital root 5. The neighboring primes are 4288807 and 4288847; its proper-divisor sum differs from the starting integer by -2,144,416.

Prime Factor Structure

Factorization String 2 × 2144419
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 6,433,260
Proper Divisor Sum 2,144,422
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #4288807 ← → #4288847

Radix Representation

Decimal 4288838
Binary 10000010111000101000110 (23 bits)
Octal 0o20270506
Hexadecimal 0x417146

Divisor Catalog (4)

1 2 2,144,419 4,288,838

Collatz Trajectory (149 steps to reach 1)

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

4,288,838 2,144,419 6,433,258 3,216,629 9,649,888 4,824,944 2,412,472 1,206,236 603,118 301,559 904,678 452,339 1,357,018 678,509 2,035,528 1,017,764 508,882 254,441 763,324 381,662 190,831 572,494 286,247 858,742 429,371 1,288,114 644,057 1,932,172 966,086 483,043 1,449,130 724,565 2,173,696 1,086,848 543,424 271,712 135,856 67,928 33,964 16,982 8,491 25,474 12,737 38,212 19,106 9,553 28,660 14,330 7,165 21,496 10,748 5,374 2,687 8,062 4,031 12,094 6,047 18,142 9,071 27,214

More profiles

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