λ
Prime Ledger

7,191,001

7191001
Deficient Odd Prime

7,191,001 has the prime decomposition 7191001. Its 1 distinct prime factor produce 2 positive divisors.

Prime Factor Structure

Factorization String 7191001
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,191,002
Proper Divisor Sum 1
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #7190999 ← → #7191007

Radix Representation

Decimal 7191001
Binary 11011011011100111011001 (23 bits)
Octal 0o33334731
Hexadecimal 0x6DB9D9

Divisor Catalog (2)

Collatz Trajectory (90 steps to reach 1)

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

7,191,001 21,573,004 10,786,502 5,393,251 16,179,754 8,089,877 24,269,632 12,134,816 6,067,408 3,033,704 1,516,852 758,426 379,213 1,137,640 568,820 284,410 142,205 426,616 213,308 106,654 53,327 159,982 79,991 239,974 119,987 359,962 179,981 539,944 269,972 134,986 67,493 202,480 101,240 50,620 25,310 12,655 37,966 18,983 56,950 28,475 85,426 42,713 128,140 64,070 32,035 96,106 48,053 144,160 72,080 36,040 18,020 9,010 4,505 13,516 6,758 3,379 10,138 5,069 15,208 7,604

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