λ
Prime Ledger

966,345

3 × 5 × 23 × 2801
Deficient Odd Composite

966,345 has the prime decomposition 3 × 5 × 23 × 2801. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 23 × 2801
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,613,952
Proper Divisor Sum 647,607
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #966337 ← → #966347

Radix Representation

Decimal 966345
Binary 11101011111011001001 (20 bits)
Octal 0o3537311
Hexadecimal 0xEBEC9

Divisor Catalog (16)

1 3 5 15 23 69 115 345 2,801 8,403 14,005 42,015 64,423 193,269 322,115 966,345

Collatz Trajectory (214 steps to reach 1)

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

966,345 2,899,036 1,449,518 724,759 2,174,278 1,087,139 3,261,418 1,630,709 4,892,128 2,446,064 1,223,032 611,516 305,758 152,879 458,638 229,319 687,958 343,979 1,031,938 515,969 1,547,908 773,954 386,977 1,160,932 580,466 290,233 870,700 435,350 217,675 653,026 326,513 979,540 489,770 244,885 734,656 367,328 183,664 91,832 45,916 22,958 11,479 34,438 17,219 51,658 25,829 77,488 38,744 19,372 9,686 4,843 14,530 7,265 21,796 10,898 5,449 16,348 8,174 4,087 12,262 6,131

More profiles

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