λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,756,015
3,756,015
32 × 5 × 19 × 23 × 191
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5 × 19 × 23 × 191
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,188,480
Proper Divisor Sum 3,432,465
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3756001 ← → #3756019

Radix Representation

Decimal 3756015
Binary 1110010100111111101111 (22 bits)
Octal 0o16247757
Hexadecimal 0x394FEF

Divisor Catalog (48)

1 3 5 9 15 19 23 45 57 69 95 115 171 191 207 285 345 437 573 855 955 1,035 1,311 1,719 2,185 2,865 3,629 3,933 4,393 6,555 8,595 10,887 13,179 18,145 19,665 21,965 32,661 39,537 54,435 65,895 83,467 163,305 197,685 250,401 417,335 751,203 1,252,005 3,756,015

Collatz Trajectory (133 steps to reach 1)

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

3,756,015 11,268,046 5,634,023 16,902,070 8,451,035 25,353,106 12,676,553 38,029,660 19,014,830 9,507,415 28,522,246 14,261,123 42,783,370 21,391,685 64,175,056 32,087,528 16,043,764 8,021,882 4,010,941 12,032,824 6,016,412 3,008,206 1,504,103 4,512,310 2,256,155 6,768,466 3,384,233 10,152,700 5,076,350 2,538,175 7,614,526 3,807,263 11,421,790 5,710,895 17,132,686 8,566,343 25,699,030 12,849,515 38,548,546 19,274,273 57,822,820 28,911,410 14,455,705 43,367,116 21,683,558 10,841,779 32,525,338 16,262,669 48,788,008 24,394,004 12,197,002 6,098,501 18,295,504 9,147,752 4,573,876 2,286,938 1,143,469 3,430,408 1,715,204 857,602

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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