λ
Ratio Atlas
Atlas › Integer Profiles › Node 5,972,050
5,972,050
2 × 52 × 7 × 113 × 151
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5^2 × 7 × 113 × 151
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 12,892,032
Proper Divisor Sum 6,919,982
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #5972017 ← → #5972051

Radix Representation

Decimal 5972050
Binary 10110110010000001010010 (23 bits)
Octal 0o26620122
Hexadecimal 0x5B2052

Divisor Catalog (48)

1 2 5 7 10 14 25 35 50 70 113 151 175 226 302 350 565 755 791 1,057 1,130 1,510 1,582 2,114 2,825 3,775 3,955 5,285 5,650 7,550 7,910 10,570 17,063 19,775 26,425 34,126 39,550 52,850 85,315 119,441 170,630 238,882 426,575 597,205 853,150 1,194,410 2,986,025 5,972,050

Collatz Trajectory (276 steps to reach 1)

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

5,972,050 2,986,025 8,958,076 4,479,038 2,239,519 6,718,558 3,359,279 10,077,838 5,038,919 15,116,758 7,558,379 22,675,138 11,337,569 34,012,708 17,006,354 8,503,177 25,509,532 12,754,766 6,377,383 19,132,150 9,566,075 28,698,226 14,349,113 43,047,340 21,523,670 10,761,835 32,285,506 16,142,753 48,428,260 24,214,130 12,107,065 36,321,196 18,160,598 9,080,299 27,240,898 13,620,449 40,861,348 20,430,674 10,215,337 30,646,012 15,323,006 7,661,503 22,984,510 11,492,255 34,476,766 17,238,383 51,715,150 25,857,575 77,572,726 38,786,363 116,359,090 58,179,545 174,538,636 87,269,318 43,634,659 130,903,978 65,451,989 196,355,968 98,177,984 49,088,992

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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