λ
Ratio Atlas

26,272,511

193 × 197 × 691
Deficient Odd Composite

26,272,511 factors as 193 × 197 × 691. Its 8 positive divisors give a proper-divisor sum of 308,593, so this integer is deficient. The Collatz stopping time is 211 steps.

Prime Factor Structure

Factorization String 193 × 197 × 691
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 26,581,104
Proper Divisor Sum 308,593
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #26272501 ← → #26272549

Radix Representation

Decimal 26272511
Binary 1100100001110001011111111 (25 bits)
Octal 0o144161377
Hexadecimal 0x190E2FF

Divisor Catalog (8)

Collatz Trajectory (211 steps to reach 1)

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

26,272,511 78,817,534 39,408,767 118,226,302 59,113,151 177,339,454 88,669,727 266,009,182 133,004,591 399,013,774 199,506,887 598,520,662 299,260,331 897,780,994 448,890,497 1,346,671,492 673,335,746 336,667,873 1,010,003,620 505,001,810 252,500,905 757,502,716 378,751,358 189,375,679 568,127,038 284,063,519 852,190,558 426,095,279 1,278,285,838 639,142,919 1,917,428,758 958,714,379 2,876,143,138 1,438,071,569 4,314,214,708 2,157,107,354 1,078,553,677 3,235,661,032 1,617,830,516 808,915,258 404,457,629 1,213,372,888 606,686,444 303,343,222 151,671,611 455,014,834 227,507,417 682,522,252 341,261,126 170,630,563 511,891,690 255,945,845 767,837,536 383,918,768 191,959,384 95,979,692 47,989,846 23,994,923 71,984,770 35,992,385

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