λ
Harmonic Matrix

4,243,991

4243991
Deficient Odd Prime

4,243,991 has digital root 5. The neighboring primes are 4243979 and 4243997; its proper-divisor sum differs from the starting integer by -4,243,990.

Prime Factor Structure

Factorization String 4243991
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 4,243,992
Proper Divisor Sum 1
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #4243979 ← → #4243997

Radix Representation

Decimal 4243991
Binary 10000001100001000010111 (23 bits)
Octal 0o20141027
Hexadecimal 0x40C217

Divisor Catalog (2)

Collatz Trajectory (105 steps to reach 1)

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

4,243,991 12,731,974 6,365,987 19,097,962 9,548,981 28,646,944 14,323,472 7,161,736 3,580,868 1,790,434 895,217 2,685,652 1,342,826 671,413 2,014,240 1,007,120 503,560 251,780 125,890 62,945 188,836 94,418 47,209 141,628 70,814 35,407 106,222 53,111 159,334 79,667 239,002 119,501 358,504 179,252 89,626 44,813 134,440 67,220 33,610 16,805 50,416 25,208 12,604 6,302 3,151 9,454 4,727 14,182 7,091 21,274 10,637 31,912 15,956 7,978 3,989 11,968 5,984 2,992 1,496 748

More profiles

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