λ
Prime Ledger

835,344

24 × 32 × 5801
Abundant Even Composite

835,344 has the prime decomposition 2^4 × 3^2 × 5801. Its 3 distinct prime factors produce 30 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 5801
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 2,338,206
Proper Divisor Sum 1,502,862
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #835327 ← → #835369

Radix Representation

Decimal 835344
Binary 11001011111100010000 (20 bits)
Octal 0o3137420
Hexadecimal 0xCBF10

Divisor Catalog (30)

1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 5,801 11,602 17,403 23,204 34,806 46,408 52,209 69,612 92,816 104,418 139,224 208,836 278,448 417,672 835,344

Collatz Trajectory (144 steps to reach 1)

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

835,344 417,672 208,836 104,418 52,209 156,628 78,314 39,157 117,472 58,736 29,368 14,684 7,342 3,671 11,014 5,507 16,522 8,261 24,784 12,392 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744 872 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155

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