λ
Harmonic Matrix

5,026,998

2 × 3 × 837833
Abundant Even Composite

5,026,998 has digital root 3. The neighboring primes are 5026993 and 5027003; its proper-divisor sum differs from the starting integer by 12.

Prime Factor Structure

Factorization String 2 × 3 × 837833
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,054,008
Proper Divisor Sum 5,027,010
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #5026993 ← → #5027003

Radix Representation

Decimal 5026998
Binary 10011001011010010110110 (23 bits)
Octal 0o23132266
Hexadecimal 0x4CB4B6

Divisor Catalog (8)

1 2 3 6 837,833 1,675,666 2,513,499 5,026,998

Collatz Trajectory (343 steps to reach 1)

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

5,026,998 2,513,499 7,540,498 3,770,249 11,310,748 5,655,374 2,827,687 8,483,062 4,241,531 12,724,594 6,362,297 19,086,892 9,543,446 4,771,723 14,315,170 7,157,585 21,472,756 10,736,378 5,368,189 16,104,568 8,052,284 4,026,142 2,013,071 6,039,214 3,019,607 9,058,822 4,529,411 13,588,234 6,794,117 20,382,352 10,191,176 5,095,588 2,547,794 1,273,897 3,821,692 1,910,846 955,423 2,866,270 1,433,135 4,299,406 2,149,703 6,449,110 3,224,555 9,673,666 4,836,833 14,510,500 7,255,250 3,627,625 10,882,876 5,441,438 2,720,719 8,162,158 4,081,079 12,243,238 6,121,619 18,364,858 9,182,429 27,547,288 13,773,644 6,886,822

More profiles

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