222,723

3³ × 73 × 113

222,723 factors as 3^3 × 73 × 113. Its 16 positive divisors give a proper-divisor sum of 114,717, so this integer is deficient. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 3^3 × 73 × 113

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 337,440

Proper Divisor Sum 114,717

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #222713 ← → #222731

Radix Representation

Decimal	222723
Binary	110110011000000011 (18 bits)
Octal	0o663003
Hexadecimal	0x36603

Divisor Catalog (16)

1 3 9 27 73 113 219 339 657 1,017 1,971 3,051 8,249 24,747 74,241 222,723

Collatz Trajectory (93 steps to reach 1)

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

222,723 668,170 334,085 1,002,256 501,128 250,564 125,282 62,641 187,924 93,962 46,981 140,944 70,472 35,236 17,618 8,809 26,428 13,214 6,607 19,822 9,911 29,734 14,867 44,602 22,301 66,904 33,452 16,726 8,363 25,090 12,545 37,636 18,818 9,409 28,228 14,114 7,057 21,172 10,586 5,293 15,880 7,940 3,970 1,985 5,956 2,978 1,489 4,468 2,234 1,117 3,352 1,676 838 419 1,258 629 1,888 944 472 236

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