λ
Prime Ledger

222,968

23 × 47 × 593
Deficient Even Composite

222,968 has the prime decomposition 2^3 × 47 × 593. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 47 × 593
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 427,680
Proper Divisor Sum 204,712
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #222967 ← → #222977

Radix Representation

Decimal 222968
Binary 110110011011111000 (18 bits)
Octal 0o663370
Hexadecimal 0x366F8

Divisor Catalog (16)

1 2 4 8 47 94 188 376 593 1,186 2,372 4,744 27,871 55,742 111,484 222,968

Collatz Trajectory (155 steps to reach 1)

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

222,968 111,484 55,742 27,871 83,614 41,807 125,422 62,711 188,134 94,067 282,202 141,101 423,304 211,652 105,826 52,913 158,740 79,370 39,685 119,056 59,528 29,764 14,882 7,441 22,324 11,162 5,581 16,744 8,372 4,186 2,093 6,280 3,140 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242

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