λ
Ratio Atlas

2,308,275

32 × 52 × 10259
Deficient Odd Composite

2,308,275 factors as 3^2 × 5^2 × 10259. Its 18 positive divisors give a proper-divisor sum of 1,826,505, so this integer is deficient. The Collatz stopping time is 73 steps.

Prime Factor Structure

Factorization String 3^2 × 5^2 × 10259
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 4,134,780
Proper Divisor Sum 1,826,505
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2308261 ← → #2308279

Radix Representation

Decimal 2308275
Binary 1000110011100010110011 (22 bits)
Octal 0o10634263
Hexadecimal 0x2338B3

Divisor Catalog (18)

1 3 5 9 15 25 45 75 225 10,259 30,777 51,295 92,331 153,885 256,475 461,655 769,425 2,308,275

Collatz Trajectory (73 steps to reach 1)

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

2,308,275 6,924,826 3,462,413 10,387,240 5,193,620 2,596,810 1,298,405 3,895,216 1,947,608 973,804 486,902 243,451 730,354 365,177 1,095,532 547,766 273,883 821,650 410,825 1,232,476 616,238 308,119 924,358 462,179 1,386,538 693,269 2,079,808 1,039,904 519,952 259,976 129,988 64,994 32,497 97,492 48,746 24,373 73,120 36,560 18,280 9,140 4,570 2,285 6,856 3,428 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448 724 362 181 544 272 136 68

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