λ
Harmonic Matrix

5,017,882

2 × 101 × 24841
Deficient Even Composite

5,017,882 has digital root 4. The neighboring primes are 5017879 and 5017889; its proper-divisor sum differs from the starting integer by -2,434,112.

Prime Factor Structure

Factorization String 2 × 101 × 24841
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,601,652
Proper Divisor Sum 2,583,770
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #5017879 ← → #5017889

Radix Representation

Decimal 5017882
Binary 10011001001000100011010 (23 bits)
Octal 0o23110432
Hexadecimal 0x4C911A

Divisor Catalog (8)

1 2 101 202 24,841 49,682 2,508,941 5,017,882

Collatz Trajectory (175 steps to reach 1)

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

5,017,882 2,508,941 7,526,824 3,763,412 1,881,706 940,853 2,822,560 1,411,280 705,640 352,820 176,410 88,205 264,616 132,308 66,154 33,077 99,232 49,616 24,808 12,404 6,202 3,101 9,304 4,652 2,326 1,163 3,490 1,745 5,236 2,618 1,309 3,928 1,964 982 491 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332

More profiles

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