λ
Harmonic Matrix

3,818,288

24 × 167 × 1429
Deficient Even Composite

3,818,288 has digital root 2. The neighboring primes are 3818267 and 3818291; its proper-divisor sum differs from the starting integer by -189,136.

Prime Factor Structure

Factorization String 2^4 × 167 × 1429
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 7,447,440
Proper Divisor Sum 3,629,152
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #3818267 ← → #3818291

Radix Representation

Decimal 3818288
Binary 1110100100001100110000 (22 bits)
Octal 0o16441460
Hexadecimal 0x3A4330

Divisor Catalog (20)

1 2 4 8 16 167 334 668 1,336 1,429 2,672 2,858 5,716 11,432 22,864 238,643 477,286 954,572 1,909,144 3,818,288

Collatz Trajectory (123 steps to reach 1)

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

3,818,288 1,909,144 954,572 477,286 238,643 715,930 357,965 1,073,896 536,948 268,474 134,237 402,712 201,356 100,678 50,339 151,018 75,509 226,528 113,264 56,632 28,316 14,158 7,079 21,238 10,619 31,858 15,929 47,788 23,894 11,947 35,842 17,921 53,764 26,882 13,441 40,324 20,162 10,081 30,244 15,122 7,561 22,684 11,342 5,671 17,014 8,507 25,522 12,761 38,284 19,142 9,571 28,714 14,357 43,072 21,536 10,768 5,384 2,692 1,346 673

More profiles

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