λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,936,735
3,936,735
33 × 5 × 112 × 241
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^3 × 5 × 11^2 × 241
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,724,640
Proper Divisor Sum 3,787,905
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3936733 ← → #3936769

Radix Representation

Decimal 3936735
Binary 1111000001000111011111 (22 bits)
Octal 0o17010737
Hexadecimal 0x3C11DF

Divisor Catalog (48)

1 3 5 9 11 15 27 33 45 55 99 121 135 165 241 297 363 495 605 723 1,089 1,205 1,485 1,815 2,169 2,651 3,267 3,615 5,445 6,507 7,953 10,845 13,255 16,335 23,859 29,161 32,535 39,765 71,577 87,483 119,295 145,805 262,449 357,885 437,415 787,347 1,312,245 3,936,735

Collatz Trajectory (428 steps to reach 1)

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

3,936,735 11,810,206 5,905,103 17,715,310 8,857,655 26,572,966 13,286,483 39,859,450 19,929,725 59,789,176 29,894,588 14,947,294 7,473,647 22,420,942 11,210,471 33,631,414 16,815,707 50,447,122 25,223,561 75,670,684 37,835,342 18,917,671 56,753,014 28,376,507 85,129,522 42,564,761 127,694,284 63,847,142 31,923,571 95,770,714 47,885,357 143,656,072 71,828,036 35,914,018 17,957,009 53,871,028 26,935,514 13,467,757 40,403,272 20,201,636 10,100,818 5,050,409 15,151,228 7,575,614 3,787,807 11,363,422 5,681,711 17,045,134 8,522,567 25,567,702 12,783,851 38,351,554 19,175,777 57,527,332 28,763,666 14,381,833 43,145,500 21,572,750 10,786,375 32,359,126

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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