λ
Ratio Atlas

8,301,673

61 × 136093
Deficient Odd Composite

8,301,673 factors as 61 × 136093. Its 4 positive divisors give a proper-divisor sum of 136,155, so this integer is deficient. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 61 × 136093
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,437,828
Proper Divisor Sum 136,155
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #8301659 ← → #8301677

Radix Representation

Decimal 8301673
Binary 11111101010110001101001 (23 bits)
Octal 0o37526151
Hexadecimal 0x7EAC69

Divisor Catalog (4)

1 61 136,093 8,301,673

Collatz Trajectory (199 steps to reach 1)

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

8,301,673 24,905,020 12,452,510 6,226,255 18,678,766 9,339,383 28,018,150 14,009,075 42,027,226 21,013,613 63,040,840 31,520,420 15,760,210 7,880,105 23,640,316 11,820,158 5,910,079 17,730,238 8,865,119 26,595,358 13,297,679 39,893,038 19,946,519 59,839,558 29,919,779 89,759,338 44,879,669 134,639,008 67,319,504 33,659,752 16,829,876 8,414,938 4,207,469 12,622,408 6,311,204 3,155,602 1,577,801 4,733,404 2,366,702 1,183,351 3,550,054 1,775,027 5,325,082 2,662,541 7,987,624 3,993,812 1,996,906 998,453 2,995,360 1,497,680 748,840 374,420 187,210 93,605 280,816 140,408 70,204 35,102 17,551 52,654

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