λ
Ratio Atlas

2,116,567

107 × 131 × 151
Deficient Odd Composite

2,116,567 factors as 107 × 131 × 151. Its 8 positive divisors give a proper-divisor sum of 50,345, so this integer is deficient. The Collatz stopping time is 272 steps.

Prime Factor Structure

Factorization String 107 × 131 × 151
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,166,912
Proper Divisor Sum 50,345
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2116561 ← → #2116571

Radix Representation

Decimal 2116567
Binary 1000000100101111010111 (22 bits)
Octal 0o10045727
Hexadecimal 0x204BD7

Divisor Catalog (8)

Collatz Trajectory (272 steps to reach 1)

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

2,116,567 6,349,702 3,174,851 9,524,554 4,762,277 14,286,832 7,143,416 3,571,708 1,785,854 892,927 2,678,782 1,339,391 4,018,174 2,009,087 6,027,262 3,013,631 9,040,894 4,520,447 13,561,342 6,780,671 20,342,014 10,171,007 30,513,022 15,256,511 45,769,534 22,884,767 68,654,302 34,327,151 102,981,454 51,490,727 154,472,182 77,236,091 231,708,274 115,854,137 347,562,412 173,781,206 86,890,603 260,671,810 130,335,905 391,007,716 195,503,858 97,751,929 293,255,788 146,627,894 73,313,947 219,941,842 109,970,921 329,912,764 164,956,382 82,478,191 247,434,574 123,717,287 371,151,862 185,575,931 556,727,794 278,363,897 835,091,692 417,545,846 208,772,923 626,318,770

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