λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,937,010
3,937,010
2 × 5 × 7 × 11 × 5113
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 7 × 11 × 5113
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,836,992
Proper Divisor Sum 4,899,982
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #3936997 ← → #3937019

Radix Representation

Decimal 3937010
Binary 1111000001001011110010 (22 bits)
Octal 0o17011362
Hexadecimal 0x3C12F2

Divisor Catalog (32)

1 2 5 7 10 11 14 22 35 55 70 77 110 154 385 770 5,113 10,226 25,565 35,791 51,130 56,243 71,582 112,486 178,955 281,215 357,910 393,701 562,430 787,402 1,968,505 3,937,010

Collatz Trajectory (172 steps to reach 1)

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

3,937,010 1,968,505 5,905,516 2,952,758 1,476,379 4,429,138 2,214,569 6,643,708 3,321,854 1,660,927 4,982,782 2,491,391 7,474,174 3,737,087 11,211,262 5,605,631 16,816,894 8,408,447 25,225,342 12,612,671 37,838,014 18,919,007 56,757,022 28,378,511 85,135,534 42,567,767 127,703,302 63,851,651 191,554,954 95,777,477 287,332,432 143,666,216 71,833,108 35,916,554 17,958,277 53,874,832 26,937,416 13,468,708 6,734,354 3,367,177 10,101,532 5,050,766 2,525,383 7,576,150 3,788,075 11,364,226 5,682,113 17,046,340 8,523,170 4,261,585 12,784,756 6,392,378 3,196,189 9,588,568 4,794,284 2,397,142 1,198,571 3,595,714 1,797,857 5,393,572

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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