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5,286,897

33 × 7 × 11 × 2543
Deficient Odd Composite

5,286,897 factors as 3^3 × 7 × 11 × 2543. Its 32 positive divisors give a proper-divisor sum of 4,482,063, so this integer is deficient. The Collatz stopping time is 126 steps.

Prime Factor Structure

Factorization String 3^3 × 7 × 11 × 2543
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,768,960
Proper Divisor Sum 4,482,063
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #5286871 ← → #5286901

Radix Representation

Decimal 5286897
Binary 10100001010101111110001 (23 bits)
Octal 0o24125761
Hexadecimal 0x50ABF1

Divisor Catalog (32)

1 3 7 9 11 21 27 33 63 77 99 189 231 297 693 2,079 2,543 7,629 17,801 22,887 27,973 53,403 68,661 83,919 160,209 195,811 251,757 480,627 587,433 755,271 1,762,299 5,286,897

Collatz Trajectory (126 steps to reach 1)

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

5,286,897 15,860,692 7,930,346 3,965,173 11,895,520 5,947,760 2,973,880 1,486,940 743,470 371,735 1,115,206 557,603 1,672,810 836,405 2,509,216 1,254,608 627,304 313,652 156,826 78,413 235,240 117,620 58,810 29,405 88,216 44,108 22,054 11,027 33,082 16,541 49,624 24,812 12,406 6,203 18,610 9,305 27,916 13,958 6,979 20,938 10,469 31,408 15,704 7,852 3,926 1,963 5,890 2,945 8,836 4,418 2,209 6,628 3,314 1,657 4,972 2,486 1,243 3,730 1,865 5,596

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