11,617,331

11² × 67 × 1433

11,617,331 factors as 11^2 × 67 × 1433. Its 12 positive divisors give a proper-divisor sum of 1,351,765, so this integer is deficient. The Collatz stopping time is 96 steps.

Prime Factor Structure

Factorization String 11^2 × 67 × 1433

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,969,096

Proper Divisor Sum 1,351,765

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #11617327 ← → #11617337

Radix Representation

Decimal	11617331
Binary	101100010100010000110011 (24 bits)
Octal	0o54242063
Hexadecimal	0xB14433

Divisor Catalog (12)

1 11 67 121 737 1,433 8,107 15,763 96,011 173,393 1,056,121 11,617,331

Collatz Trajectory (96 steps to reach 1)

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

11,617,331 34,851,994 17,425,997 52,277,992 26,138,996 13,069,498 6,534,749 19,604,248 9,802,124 4,901,062 2,450,531 7,351,594 3,675,797 11,027,392 5,513,696 2,756,848 1,378,424 689,212 344,606 172,303 516,910 258,455 775,366 387,683 1,163,050 581,525 1,744,576 872,288 436,144 218,072 109,036 54,518 27,259 81,778 40,889 122,668 61,334 30,667 92,002 46,001 138,004 69,002 34,501 103,504 51,752 25,876 12,938 6,469 19,408 9,704 4,852 2,426 1,213 3,640 1,820 910 455 1,366 683 2,050

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