λ
Prime Ledger

3,664,917

32 × 313 × 1301
Deficient Odd Composite

3,664,917 has the prime decomposition 3^2 × 313 × 1301. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 313 × 1301
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 5,314,764
Proper Divisor Sum 1,649,847
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3664901 ← → #3664937

Radix Representation

Decimal 3664917
Binary 1101111110110000010101 (22 bits)
Octal 0o15766025
Hexadecimal 0x37EC15

Divisor Catalog (12)

1 3 9 313 939 1,301 2,817 3,903 11,709 407,213 1,221,639 3,664,917

Collatz Trajectory (58 steps to reach 1)

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

3,664,917 10,994,752 5,497,376 2,748,688 1,374,344 687,172 343,586 171,793 515,380 257,690 128,845 386,536 193,268 96,634 48,317 144,952 72,476 36,238 18,119 54,358 27,179 81,538 40,769 122,308 61,154 30,577 91,732 45,866 22,933 68,800 34,400 17,200 8,600 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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