λ
Ratio Atlas
Atlas › Integer Profiles › Node 40,083,065
40,083,065
5 × 113 × 19 × 317
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 11^3 × 19 × 317
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 55,866,240
Proper Divisor Sum 15,783,175
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #40083061 ← → #40083067

Radix Representation

Decimal 40083065
Binary 10011000111001111001111001 (26 bits)
Octal 0o230717171
Hexadecimal 0x2639E79

Divisor Catalog (32)

1 5 11 19 55 95 121 209 317 605 1,045 1,331 1,585 2,299 3,487 6,023 6,655 11,495 17,435 25,289 30,115 38,357 66,253 126,445 191,785 331,265 421,927 728,783 2,109,635 3,643,915 8,016,613 40,083,065

Collatz Trajectory (165 steps to reach 1)

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

40,083,065 120,249,196 60,124,598 30,062,299 90,186,898 45,093,449 135,280,348 67,640,174 33,820,087 101,460,262 50,730,131 152,190,394 76,095,197 228,285,592 114,142,796 57,071,398 28,535,699 85,607,098 42,803,549 128,410,648 64,205,324 32,102,662 16,051,331 48,153,994 24,076,997 72,230,992 36,115,496 18,057,748 9,028,874 4,514,437 13,543,312 6,771,656 3,385,828 1,692,914 846,457 2,539,372 1,269,686 634,843 1,904,530 952,265 2,856,796 1,428,398 714,199 2,142,598 1,071,299 3,213,898 1,606,949 4,820,848 2,410,424 1,205,212 602,606 301,303 903,910 451,955 1,355,866 677,933 2,033,800 1,016,900 508,450 254,225

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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