λ
Prime Ledger

2,983,997

23 × 137 × 947
Deficient Odd Composite

2,983,997 has the prime decomposition 23 × 137 × 947. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 23 × 137 × 947
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,139,776
Proper Divisor Sum 155,779
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #2983987 ← → #2984039

Radix Representation

Decimal 2983997
Binary 1011011000100000111101 (22 bits)
Octal 0o13304075
Hexadecimal 0x2D883D

Divisor Catalog (8)

1 23 137 947 3,151 21,781 129,739 2,983,997

Collatz Trajectory (138 steps to reach 1)

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

2,983,997 8,951,992 4,475,996 2,237,998 1,118,999 3,356,998 1,678,499 5,035,498 2,517,749 7,553,248 3,776,624 1,888,312 944,156 472,078 236,039 708,118 354,059 1,062,178 531,089 1,593,268 796,634 398,317 1,194,952 597,476 298,738 149,369 448,108 224,054 112,027 336,082 168,041 504,124 252,062 126,031 378,094 189,047 567,142 283,571 850,714 425,357 1,276,072 638,036 319,018 159,509 478,528 239,264 119,632 59,816 29,908 14,954 7,477 22,432 11,216 5,608 2,804 1,402 701 2,104 1,052 526

More profiles

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