λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,968,664
36,968,664
23 × 3 × 983 × 1567
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 983 × 1567
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 92,574,720
Proper Divisor Sum 55,606,056
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #36968663 ← → #36968669

Radix Representation

Decimal 36968664
Binary 10001101000001100011011000 (26 bits)
Octal 0o215014330
Hexadecimal 0x23418D8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 983 1,567 1,966 2,949 3,134 3,932 4,701 5,898 6,268 7,864 9,402 11,796 12,536 18,804 23,592 37,608 1,540,361 3,080,722 4,621,083 6,161,444 9,242,166 12,322,888 18,484,332 36,968,664

Collatz Trajectory (227 steps to reach 1)

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

36,968,664 18,484,332 9,242,166 4,621,083 13,863,250 6,931,625 20,794,876 10,397,438 5,198,719 15,596,158 7,798,079 23,394,238 11,697,119 35,091,358 17,545,679 52,637,038 26,318,519 78,955,558 39,477,779 118,433,338 59,216,669 177,650,008 88,825,004 44,412,502 22,206,251 66,618,754 33,309,377 99,928,132 49,964,066 24,982,033 74,946,100 37,473,050 18,736,525 56,209,576 28,104,788 14,052,394 7,026,197 21,078,592 10,539,296 5,269,648 2,634,824 1,317,412 658,706 329,353 988,060 494,030 247,015 741,046 370,523 1,111,570 555,785 1,667,356 833,678 416,839 1,250,518 625,259 1,875,778 937,889 2,813,668 1,406,834

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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