λ
Prime Ledger

7,723,463

11 × 47 × 14939
Deficient Odd Composite

7,723,463 has the prime decomposition 11 × 47 × 14939. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 11 × 47 × 14939
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,605,440
Proper Divisor Sum 881,977
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #7723459 ← → #7723477

Radix Representation

Decimal 7723463
Binary 11101011101100111000111 (23 bits)
Octal 0o35354707
Hexadecimal 0x75D9C7

Divisor Catalog (8)

1 11 47 517 14,939 164,329 702,133 7,723,463

Collatz Trajectory (124 steps to reach 1)

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

7,723,463 23,170,390 11,585,195 34,755,586 17,377,793 52,133,380 26,066,690 13,033,345 39,100,036 19,550,018 9,775,009 29,325,028 14,662,514 7,331,257 21,993,772 10,996,886 5,498,443 16,495,330 8,247,665 24,742,996 12,371,498 6,185,749 18,557,248 9,278,624 4,639,312 2,319,656 1,159,828 579,914 289,957 869,872 434,936 217,468 108,734 54,367 163,102 81,551 244,654 122,327 366,982 183,491 550,474 275,237 825,712 412,856 206,428 103,214 51,607 154,822 77,411 232,234 116,117 348,352 174,176 87,088 43,544 21,772 10,886 5,443 16,330 8,165

More profiles

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