λ
Prime Ledger

2,254,041

33 × 31 × 2693
Deficient Odd Composite

2,254,041 has the prime decomposition 3^3 × 31 × 2693. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 31 × 2693
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,448,320
Proper Divisor Sum 1,194,279
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2254033 ← → #2254067

Radix Representation

Decimal 2254041
Binary 1000100110010011011001 (22 bits)
Octal 0o10462331
Hexadecimal 0x2264D9

Divisor Catalog (16)

1 3 9 27 31 93 279 837 2,693 8,079 24,237 72,711 83,483 250,449 751,347 2,254,041

Collatz Trajectory (148 steps to reach 1)

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

2,254,041 6,762,124 3,381,062 1,690,531 5,071,594 2,535,797 7,607,392 3,803,696 1,901,848 950,924 475,462 237,731 713,194 356,597 1,069,792 534,896 267,448 133,724 66,862 33,431 100,294 50,147 150,442 75,221 225,664 112,832 56,416 28,208 14,104 7,052 3,526 1,763 5,290 2,645 7,936 3,968 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412

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