λ
Ratio Atlas

2,992,127

113 × 26479
Deficient Odd Composite

2,992,127 factors as 113 × 26479. Its 4 positive divisors give a proper-divisor sum of 26,593, so this integer is deficient. The Collatz stopping time is 213 steps.

Prime Factor Structure

Factorization String 113 × 26479
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,018,720
Proper Divisor Sum 26,593
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #2992123 ← → #2992141

Radix Representation

Decimal 2992127
Binary 1011011010011111111111 (22 bits)
Octal 0o13323777
Hexadecimal 0x2DA7FF

Divisor Catalog (4)

Collatz Trajectory (213 steps to reach 1)

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

2,992,127 8,976,382 4,488,191 13,464,574 6,732,287 20,196,862 10,098,431 30,295,294 15,147,647 45,442,942 22,721,471 68,164,414 34,082,207 102,246,622 51,123,311 153,369,934 76,684,967 230,054,902 115,027,451 345,082,354 172,541,177 517,623,532 258,811,766 129,405,883 388,217,650 194,108,825 582,326,476 291,163,238 145,581,619 436,744,858 218,372,429 655,117,288 327,558,644 163,779,322 81,889,661 245,668,984 122,834,492 61,417,246 30,708,623 92,125,870 46,062,935 138,188,806 69,094,403 207,283,210 103,641,605 310,924,816 155,462,408 77,731,204 38,865,602 19,432,801 58,298,404 29,149,202 14,574,601 43,723,804 21,861,902 10,930,951 32,792,854 16,396,427 49,189,282 24,594,641

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