λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,051,630
3,051,630
2 × 32 × 5 × 41 × 827
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 41 × 827
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 8,137,584
Proper Divisor Sum 5,085,954
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #3051623 ← → #3051637

Radix Representation

Decimal 3051630
Binary 1011101001000001101110 (22 bits)
Octal 0o13510156
Hexadecimal 0x2E906E

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 30 41 45 82 90 123 205 246 369 410 615 738 827 1,230 1,654 1,845 2,481 3,690 4,135 4,962 7,443 8,270 12,405 14,886 24,810 33,907 37,215 67,814 74,430 101,721 169,535 203,442 305,163 339,070 508,605 610,326 1,017,210 1,525,815 3,051,630

Collatz Trajectory (133 steps to reach 1)

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

3,051,630 1,525,815 4,577,446 2,288,723 6,866,170 3,433,085 10,299,256 5,149,628 2,574,814 1,287,407 3,862,222 1,931,111 5,793,334 2,896,667 8,690,002 4,345,001 13,035,004 6,517,502 3,258,751 9,776,254 4,888,127 14,664,382 7,332,191 21,996,574 10,998,287 32,994,862 16,497,431 49,492,294 24,746,147 74,238,442 37,119,221 111,357,664 55,678,832 27,839,416 13,919,708 6,959,854 3,479,927 10,439,782 5,219,891 15,659,674 7,829,837 23,489,512 11,744,756 5,872,378 2,936,189 8,808,568 4,404,284 2,202,142 1,101,071 3,303,214 1,651,607 4,954,822 2,477,411 7,432,234 3,716,117 11,148,352 5,574,176 2,787,088 1,393,544 696,772

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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