λ
Prime Ledger

4,488,441

3 × 61 × 24527
Deficient Odd Composite

4,488,441 has the prime decomposition 3 × 61 × 24527. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 61 × 24527
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,082,944
Proper Divisor Sum 1,594,503
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4488439 ← → #4488457

Radix Representation

Decimal 4488441
Binary 10001000111110011111001 (23 bits)
Octal 0o21076371
Hexadecimal 0x447CF9

Divisor Catalog (8)

1 3 61 183 24,527 73,581 1,496,147 4,488,441

Collatz Trajectory (110 steps to reach 1)

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

4,488,441 13,465,324 6,732,662 3,366,331 10,098,994 5,049,497 15,148,492 7,574,246 3,787,123 11,361,370 5,680,685 17,042,056 8,521,028 4,260,514 2,130,257 6,390,772 3,195,386 1,597,693 4,793,080 2,396,540 1,198,270 599,135 1,797,406 898,703 2,696,110 1,348,055 4,044,166 2,022,083 6,066,250 3,033,125 9,099,376 4,549,688 2,274,844 1,137,422 568,711 1,706,134 853,067 2,559,202 1,279,601 3,838,804 1,919,402 959,701 2,879,104 1,439,552 719,776 359,888 179,944 89,972 44,986 22,493 67,480 33,740 16,870 8,435 25,306 12,653 37,960 18,980 9,490 4,745

More profiles

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