λ
Prime Ledger

4,486,909

7 × 23 × 29 × 312
Deficient Odd Composite

4,486,909 has the prime decomposition 7 × 23 × 29 × 31^2. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 7 × 23 × 29 × 31^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,719,680
Proper Divisor Sum 1,232,771
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #4486883 ← → #4486919

Radix Representation

Decimal 4486909
Binary 10001000111011011111101 (23 bits)
Octal 0o21073375
Hexadecimal 0x4476FD

Divisor Catalog (24)

1 7 23 29 31 161 203 217 667 713 899 961 4,669 4,991 6,293 6,727 20,677 22,103 27,869 144,739 154,721 195,083 640,987 4,486,909

Collatz Trajectory (317 steps to reach 1)

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

4,486,909 13,460,728 6,730,364 3,365,182 1,682,591 5,047,774 2,523,887 7,571,662 3,785,831 11,357,494 5,678,747 17,036,242 8,518,121 25,554,364 12,777,182 6,388,591 19,165,774 9,582,887 28,748,662 14,374,331 43,122,994 21,561,497 64,684,492 32,342,246 16,171,123 48,513,370 24,256,685 72,770,056 36,385,028 18,192,514 9,096,257 27,288,772 13,644,386 6,822,193 20,466,580 10,233,290 5,116,645 15,349,936 7,674,968 3,837,484 1,918,742 959,371 2,878,114 1,439,057 4,317,172 2,158,586 1,079,293 3,237,880 1,618,940 809,470 404,735 1,214,206 607,103 1,821,310 910,655 2,731,966 1,365,983 4,097,950 2,048,975 6,146,926

More profiles

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