λ
Ratio Atlas

6,000,751

19 × 315829
Deficient Odd Composite

6,000,751 factors as 19 × 315829. Its 4 positive divisors give a proper-divisor sum of 315,849, so this integer is deficient. The Collatz stopping time is 113 steps.

Prime Factor Structure

Factorization String 19 × 315829
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 6,316,600
Proper Divisor Sum 315,849
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #6000733 ← → #6000773

Radix Representation

Decimal 6000751
Binary 10110111001000001101111 (23 bits)
Octal 0o26710157
Hexadecimal 0x5B906F

Divisor Catalog (4)

1 19 315,829 6,000,751

Collatz Trajectory (113 steps to reach 1)

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

6,000,751 18,002,254 9,001,127 27,003,382 13,501,691 40,505,074 20,252,537 60,757,612 30,378,806 15,189,403 45,568,210 22,784,105 68,352,316 34,176,158 17,088,079 51,264,238 25,632,119 76,896,358 38,448,179 115,344,538 57,672,269 173,016,808 86,508,404 43,254,202 21,627,101 64,881,304 32,440,652 16,220,326 8,110,163 24,330,490 12,165,245 36,495,736 18,247,868 9,123,934 4,561,967 13,685,902 6,842,951 20,528,854 10,264,427 30,793,282 15,396,641 46,189,924 23,094,962 11,547,481 34,642,444 17,321,222 8,660,611 25,981,834 12,990,917 38,972,752 19,486,376 9,743,188 4,871,594 2,435,797 7,307,392 3,653,696 1,826,848 913,424 456,712 228,356

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