λ
Harmonic Matrix

7,426,444

22 × 43 × 43177
Deficient Even Composite

7,426,444 has digital root 4. The neighboring primes are 7426421 and 7426451; its proper-divisor sum differs from the starting integer by -1,554,064.

Prime Factor Structure

Factorization String 2^2 × 43 × 43177
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 13,298,824
Proper Divisor Sum 5,872,380
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #7426421 ← → #7426451

Radix Representation

Decimal 7426444
Binary 11100010101000110001100 (23 bits)
Octal 0o34250614
Hexadecimal 0x71518C

Divisor Catalog (12)

1 2 4 43 86 172 43,177 86,354 172,708 1,856,611 3,713,222 7,426,444

Collatz Trajectory (116 steps to reach 1)

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

7,426,444 3,713,222 1,856,611 5,569,834 2,784,917 8,354,752 4,177,376 2,088,688 1,044,344 522,172 261,086 130,543 391,630 195,815 587,446 293,723 881,170 440,585 1,321,756 660,878 330,439 991,318 495,659 1,486,978 743,489 2,230,468 1,115,234 557,617 1,672,852 836,426 418,213 1,254,640 627,320 313,660 156,830 78,415 235,246 117,623 352,870 176,435 529,306 264,653 793,960 396,980 198,490 99,245 297,736 148,868 74,434 37,217 111,652 55,826 27,913 83,740 41,870 20,935 62,806 31,403 94,210 47,105

More profiles

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