λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,100,316
4,100,316
22 × 3 × 11 × 31063
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 31063
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 10,437,504
Proper Divisor Sum 6,337,188
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #4100311 ← → #4100381

Radix Representation

Decimal 4100316
Binary 1111101001000011011100 (22 bits)
Octal 0o17510334
Hexadecimal 0x3E90DC

Divisor Catalog (24)

1 2 3 4 6 11 12 22 33 44 66 132 31,063 62,126 93,189 124,252 186,378 341,693 372,756 683,386 1,025,079 1,366,772 2,050,158 4,100,316

Collatz Trajectory (260 steps to reach 1)

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

4,100,316 2,050,158 1,025,079 3,075,238 1,537,619 4,612,858 2,306,429 6,919,288 3,459,644 1,729,822 864,911 2,594,734 1,297,367 3,892,102 1,946,051 5,838,154 2,919,077 8,757,232 4,378,616 2,189,308 1,094,654 547,327 1,641,982 820,991 2,462,974 1,231,487 3,694,462 1,847,231 5,541,694 2,770,847 8,312,542 4,156,271 12,468,814 6,234,407 18,703,222 9,351,611 28,054,834 14,027,417 42,082,252 21,041,126 10,520,563 31,561,690 15,780,845 47,342,536 23,671,268 11,835,634 5,917,817 17,753,452 8,876,726 4,438,363 13,315,090 6,657,545 19,972,636 9,986,318 4,993,159 14,979,478 7,489,739 22,469,218 11,234,609 33,703,828

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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