λ
Prime Ledger

449,262

2 × 32 × 11 × 2269
Abundant Even Composite

449,262 has the prime decomposition 2 × 3^2 × 11 × 2269. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 11 × 2269
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,062,360
Proper Divisor Sum 613,098
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #449261 ← → #449263

Radix Representation

Decimal 449262
Binary 1101101101011101110 (19 bits)
Octal 0o1555356
Hexadecimal 0x6DAEE

Divisor Catalog (24)

1 2 3 6 9 11 18 22 33 66 99 198 2,269 4,538 6,807 13,614 20,421 24,959 40,842 49,918 74,877 149,754 224,631 449,262

Collatz Trajectory (86 steps to reach 1)

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

449,262 224,631 673,894 336,947 1,010,842 505,421 1,516,264 758,132 379,066 189,533 568,600 284,300 142,150 71,075 213,226 106,613 319,840 159,920 79,960 39,980 19,990 9,995 29,986 14,993 44,980 22,490 11,245 33,736 16,868 8,434 4,217 12,652 6,326 3,163 9,490 4,745 14,236 7,118 3,559 10,678 5,339 16,018 8,009 24,028 12,014 6,007 18,022 9,011 27,034 13,517 40,552 20,276 10,138 5,069 15,208 7,604 3,802 1,901 5,704 2,852

More profiles

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