λ
Ratio Atlas
Atlas › Integer Profiles › Node 71,017,155
71,017,155
34 × 5 × 11 × 19 × 839
Abundant Odd Composite

Prime Factor Structure

Factorization String 3^4 × 5 × 11 × 19 × 839
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 146,361,600
Proper Divisor Sum 75,344,445
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #71017147 ← → #71017159

Radix Representation

Decimal 71017155
Binary 100001110111010001011000011 (27 bits)
Octal 0o416721303
Hexadecimal 0x43BA2C3

Divisor Catalog (60 of 80)

1 3 5 9 11 15 19 27 33 45 55 57 81 95 99 135 165 171 209 285 297 405 495 513 627 839 855 891 1,045 1,485 1,539 1,881 2,517 2,565 3,135 4,195 4,455 5,643 7,551 7,695 9,229 9,405 12,585 15,941 16,929 22,653 27,687 28,215 37,755 46,145 47,823 67,959 79,705 83,061 84,645 113,265 138,435 143,469 175,351 239,115

Collatz Trajectory (202 steps to reach 1)

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

71,017,155 213,051,466 106,525,733 319,577,200 159,788,600 79,894,300 39,947,150 19,973,575 59,920,726 29,960,363 89,881,090 44,940,545 134,821,636 67,410,818 33,705,409 101,116,228 50,558,114 25,279,057 75,837,172 37,918,586 18,959,293 56,877,880 28,438,940 14,219,470 7,109,735 21,329,206 10,664,603 31,993,810 15,996,905 47,990,716 23,995,358 11,997,679 35,993,038 17,996,519 53,989,558 26,994,779 80,984,338 40,492,169 121,476,508 60,738,254 30,369,127 91,107,382 45,553,691 136,661,074 68,330,537 204,991,612 102,495,806 51,247,903 153,743,710 76,871,855 230,615,566 115,307,783 345,923,350 172,961,675 518,885,026 259,442,513 778,327,540 389,163,770 194,581,885 583,745,656

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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