λ
Ratio Atlas

26,317,759

13 × 499 × 4057
Deficient Odd Composite

26,317,759 factors as 13 × 499 × 4057. Its 8 positive divisors give a proper-divisor sum of 2,088,241, so this integer is deficient. The Collatz stopping time is 198 steps.

Prime Factor Structure

Factorization String 13 × 499 × 4057
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 28,406,000
Proper Divisor Sum 2,088,241
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #26317757 ← → #26317771

Radix Representation

Decimal 26317759
Binary 1100100011001001110111111 (25 bits)
Octal 0o144311677
Hexadecimal 0x19193BF

Divisor Catalog (8)

Collatz Trajectory (198 steps to reach 1)

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

26,317,759 78,953,278 39,476,639 118,429,918 59,214,959 177,644,878 88,822,439 266,467,318 133,233,659 399,700,978 199,850,489 599,551,468 299,775,734 149,887,867 449,663,602 224,831,801 674,495,404 337,247,702 168,623,851 505,871,554 252,935,777 758,807,332 379,403,666 189,701,833 569,105,500 284,552,750 142,276,375 426,829,126 213,414,563 640,243,690 320,121,845 960,365,536 480,182,768 240,091,384 120,045,692 60,022,846 30,011,423 90,034,270 45,017,135 135,051,406 67,525,703 202,577,110 101,288,555 303,865,666 151,932,833 455,798,500 227,899,250 113,949,625 341,848,876 170,924,438 85,462,219 256,386,658 128,193,329 384,579,988 192,289,994 96,144,997 288,434,992 144,217,496 72,108,748 36,054,374

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