λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,987,165
3,987,165
3 × 5 × 7 × 13 × 23 × 127
Abundant Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 7 × 13 × 23 × 127
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 8,257,536
Proper Divisor Sum 4,270,371
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #3987149 ← → #3987167

Radix Representation

Decimal 3987165
Binary 1111001101011011011101 (22 bits)
Octal 0o17153335
Hexadecimal 0x3CD6DD

Divisor Catalog (60 of 64)

1 3 5 7 13 15 21 23 35 39 65 69 91 105 115 127 161 195 273 299 345 381 455 483 635 805 889 897 1,365 1,495 1,651 1,905 2,093 2,415 2,667 2,921 4,445 4,485 4,953 6,279 8,255 8,763 10,465 11,557 13,335 14,605 20,447 24,765 31,395 34,671 37,973 43,815 57,785 61,341 102,235 113,919 173,355 189,865 265,811 306,705

Collatz Trajectory (322 steps to reach 1)

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

3,987,165 11,961,496 5,980,748 2,990,374 1,495,187 4,485,562 2,242,781 6,728,344 3,364,172 1,682,086 841,043 2,523,130 1,261,565 3,784,696 1,892,348 946,174 473,087 1,419,262 709,631 2,128,894 1,064,447 3,193,342 1,596,671 4,790,014 2,395,007 7,185,022 3,592,511 10,777,534 5,388,767 16,166,302 8,083,151 24,249,454 12,124,727 36,374,182 18,187,091 54,561,274 27,280,637 81,841,912 40,920,956 20,460,478 10,230,239 30,690,718 15,345,359 46,036,078 23,018,039 69,054,118 34,527,059 103,581,178 51,790,589 155,371,768 77,685,884 38,842,942 19,421,471 58,264,414 29,132,207 87,396,622 43,698,311 131,094,934 65,547,467 196,642,402

Active Feeder Network

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

Feeder #6,411,996 Feeder #5,213,165 Feeder #8,297,652 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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