λ
Harmonic Matrix

5,081,921

13 × 431 × 907
Deficient Odd Composite

5,081,921 has digital root 8. The neighboring primes are 5081903 and 5081939; its proper-divisor sum differs from the starting integer by -4,672,258.

Prime Factor Structure

Factorization String 13 × 431 × 907
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,491,584
Proper Divisor Sum 409,663
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #5081903 ← → #5081939

Radix Representation

Decimal 5081921
Binary 10011011000101101000001 (23 bits)
Octal 0o23305501
Hexadecimal 0x4D8B41

Divisor Catalog (8)

1 13 431 907 5,603 11,791 390,917 5,081,921

Collatz Trajectory (188 steps to reach 1)

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

5,081,921 15,245,764 7,622,882 3,811,441 11,434,324 5,717,162 2,858,581 8,575,744 4,287,872 2,143,936 1,071,968 535,984 267,992 133,996 66,998 33,499 100,498 50,249 150,748 75,374 37,687 113,062 56,531 169,594 84,797 254,392 127,196 63,598 31,799 95,398 47,699 143,098 71,549 214,648 107,324 53,662 26,831 80,494 40,247 120,742 60,371 181,114 90,557 271,672 135,836 67,918 33,959 101,878 50,939 152,818 76,409 229,228 114,614 57,307 171,922 85,961 257,884 128,942 64,471 193,414

More profiles

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