215,924

2² × 23 × 2347

215,924 factors as 2^2 × 23 × 2347. Its 12 positive divisors give a proper-divisor sum of 178,540, so this integer is deficient. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 2^2 × 23 × 2347

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 394,464

Proper Divisor Sum 178,540

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #215921 ← → #215927

Radix Representation

Decimal	215924
Binary	110100101101110100 (18 bits)
Octal	0o645564
Hexadecimal	0x34B74

Divisor Catalog (12)

1 2 4 23 46 92 2,347 4,694 9,388 53,981 107,962 215,924

Collatz Trajectory (186 steps to reach 1)

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

215,924 107,962 53,981 161,944 80,972 40,486 20,243 60,730 30,365 91,096 45,548 22,774 11,387 34,162 17,081 51,244 25,622 12,811 38,434 19,217 57,652 28,826 14,413 43,240 21,620 10,810 5,405 16,216 8,108 4,054 2,027 6,082 3,041 9,124 4,562 2,281 6,844 3,422 1,711 5,134 2,567 7,702 3,851 11,554 5,777 17,332 8,666 4,333 13,000 6,500 3,250 1,625 4,876 2,438 1,219 3,658 1,829 5,488 2,744 1,372

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #215,923 Browse Full Index Next Integer #215,925 →