λ
Prime Ledger

7,863,001

7863001
Deficient Odd Prime

7,863,001 has the prime decomposition 7863001. Its 1 distinct prime factor produce 2 positive divisors.

Prime Factor Structure

Factorization String 7863001
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,863,002
Proper Divisor Sum 1
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #7862983 ← → #7863007

Radix Representation

Decimal 7863001
Binary 11101111111101011011001 (23 bits)
Octal 0o35775331
Hexadecimal 0x77FAD9

Divisor Catalog (2)

Collatz Trajectory (67 steps to reach 1)

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

7,863,001 23,589,004 11,794,502 5,897,251 17,691,754 8,845,877 26,537,632 13,268,816 6,634,408 3,317,204 1,658,602 829,301 2,487,904 1,243,952 621,976 310,988 155,494 77,747 233,242 116,621 349,864 174,932 87,466 43,733 131,200 65,600 32,800 16,400 8,200 4,100 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40

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