λ
Prime Ledger

4,549,689

36 × 792
Deficient Odd Composite Square (√ = 2133)

4,549,689 has the prime decomposition 3^6 × 79^2. Its 2 distinct prime factors produce 21 positive divisors.

Prime Factor Structure

Factorization String 3^6 × 79^2
Distinct Prime Factors 2
Square Status Yes (√4549689 = 2133)
Abundance Measure Deficient

Analytical Properties

Total Divisors 21
Divisor Sum (σ) 6,908,853
Proper Divisor Sum 2,359,164
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #4549687 ← → #4549691

Radix Representation

Decimal 4549689
Binary 10001010110110000111001 (23 bits)
Octal 0o21266071
Hexadecimal 0x456C39

Divisor Catalog (21)

1 3 9 27 79 81 237 243 711 729 2,133 6,241 6,399 18,723 19,197 56,169 57,591 168,507 505,521 1,516,563 4,549,689

Collatz Trajectory (105 steps to reach 1)

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

4,549,689 13,649,068 6,824,534 3,412,267 10,236,802 5,118,401 15,355,204 7,677,602 3,838,801 11,516,404 5,758,202 2,879,101 8,637,304 4,318,652 2,159,326 1,079,663 3,238,990 1,619,495 4,858,486 2,429,243 7,287,730 3,643,865 10,931,596 5,465,798 2,732,899 8,198,698 4,099,349 12,298,048 6,149,024 3,074,512 1,537,256 768,628 384,314 192,157 576,472 288,236 144,118 72,059 216,178 108,089 324,268 162,134 81,067 243,202 121,601 364,804 182,402 91,201 273,604 136,802 68,401 205,204 102,602 51,301 153,904 76,952 38,476 19,238 9,619 28,858

More profiles

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