λ
Harmonic Matrix

5,008,390

2 × 5 × 500839
Deficient Even Composite

5,008,390 has digital root 7. The neighboring primes are 5008379 and 5008417; its proper-divisor sum differs from the starting integer by -1,001,660.

Prime Factor Structure

Factorization String 2 × 5 × 500839
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,015,120
Proper Divisor Sum 4,006,730
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #5008379 ← → #5008417

Radix Representation

Decimal 5008390
Binary 10011000110110000000110 (23 bits)
Octal 0o23066006
Hexadecimal 0x4C6C06

Divisor Catalog (8)

1 2 5 10 500,839 1,001,678 2,504,195 5,008,390

Collatz Trajectory (56 steps to reach 1)

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

5,008,390 2,504,195 7,512,586 3,756,293 11,268,880 5,634,440 2,817,220 1,408,610 704,305 2,112,916 1,056,458 528,229 1,584,688 792,344 396,172 198,086 99,043 297,130 148,565 445,696 222,848 111,424 55,712 27,856 13,928 6,964 3,482 1,741 5,224 2,612 1,306 653 1,960 980 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

More profiles

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