λ
Prime Ledger

649,788

22 × 3 × 173 × 313
Abundant Even Composite

649,788 has the prime decomposition 2^2 × 3 × 173 × 313. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 173 × 313
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,529,808
Proper Divisor Sum 880,020
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #649787 ← → #649793

Radix Representation

Decimal 649788
Binary 10011110101000111100 (20 bits)
Octal 0o2365074
Hexadecimal 0x9EA3C

Divisor Catalog (24)

1 2 3 4 6 12 173 313 346 519 626 692 939 1,038 1,252 1,878 2,076 3,756 54,149 108,298 162,447 216,596 324,894 649,788

Collatz Trajectory (66 steps to reach 1)

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

649,788 324,894 162,447 487,342 243,671 731,014 365,507 1,096,522 548,261 1,644,784 822,392 411,196 205,598 102,799 308,398 154,199 462,598 231,299 693,898 346,949 1,040,848 520,424 260,212 130,106 65,053 195,160 97,580 48,790 24,395 73,186 36,593 109,780 54,890 27,445 82,336 41,168 20,584 10,292 5,146 2,573 7,720 3,860 1,930 965 2,896 1,448 724 362 181 544 272 136 68 34 17 52 26 13 40 20

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