λ
Prime Ledger

1,667,632

24 × 17 × 6131
Abundant Even Composite

1,667,632 has the prime decomposition 2^4 × 17 × 6131. Its 3 distinct prime factors produce 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 17 × 6131
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 3,421,656
Proper Divisor Sum 1,754,024
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #1667629 ← → #1667639

Radix Representation

Decimal 1667632
Binary 110010111001000110000 (21 bits)
Octal 0o6271060
Hexadecimal 0x197230

Divisor Catalog (20)

1 2 4 8 16 17 34 68 136 272 6,131 12,262 24,524 49,048 98,096 104,227 208,454 416,908 833,816 1,667,632

Collatz Trajectory (145 steps to reach 1)

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

1,667,632 833,816 416,908 208,454 104,227 312,682 156,341 469,024 234,512 117,256 58,628 29,314 14,657 43,972 21,986 10,993 32,980 16,490 8,245 24,736 12,368 6,184 3,092 1,546 773 2,320 1,160 580 290 145 436 218 109 328 164 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

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