λ
Prime Ledger

8,007,243

3 × 23 × 116047
Deficient Odd Composite

8,007,243 has the prime decomposition 3 × 23 × 116047. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 23 × 116047
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,140,608
Proper Divisor Sum 3,133,365
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #8007229 ← → #8007271

Radix Representation

Decimal 8007243
Binary 11110100010111001001011 (23 bits)
Octal 0o36427113
Hexadecimal 0x7A2E4B

Divisor Catalog (8)

1 3 23 69 116,047 348,141 2,669,081 8,007,243

Collatz Trajectory (261 steps to reach 1)

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

8,007,243 24,021,730 12,010,865 36,032,596 18,016,298 9,008,149 27,024,448 13,512,224 6,756,112 3,378,056 1,689,028 844,514 422,257 1,266,772 633,386 316,693 950,080 475,040 237,520 118,760 59,380 29,690 14,845 44,536 22,268 11,134 5,567 16,702 8,351 25,054 12,527 37,582 18,791 56,374 28,187 84,562 42,281 126,844 63,422 31,711 95,134 47,567 142,702 71,351 214,054 107,027 321,082 160,541 481,624 240,812 120,406 60,203 180,610 90,305 270,916 135,458 67,729 203,188 101,594 50,797

More profiles

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