λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,978,684
36,978,684
22 × 3 × 317 × 9721
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 317 × 9721
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 86,564,688
Proper Divisor Sum 49,586,004
Digit Sum / Digital Root 51 (Root: 6)
Adjacent Primes #36978659 ← → #36978701

Radix Representation

Decimal 36978684
Binary 10001101000011111111111100 (26 bits)
Octal 0o215037774
Hexadecimal 0x2343FFC

Divisor Catalog (24)

1 2 3 4 6 12 317 634 951 1,268 1,902 3,804 9,721 19,442 29,163 38,884 58,326 116,652 3,081,557 6,163,114 9,244,671 12,326,228 18,489,342 36,978,684

Collatz Trajectory (302 steps to reach 1)

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

36,978,684 18,489,342 9,244,671 27,734,014 13,867,007 41,601,022 20,800,511 62,401,534 31,200,767 93,602,302 46,801,151 140,403,454 70,201,727 210,605,182 105,302,591 315,907,774 157,953,887 473,861,662 236,930,831 710,792,494 355,396,247 1,066,188,742 533,094,371 1,599,283,114 799,641,557 2,398,924,672 1,199,462,336 599,731,168 299,865,584 149,932,792 74,966,396 37,483,198 18,741,599 56,224,798 28,112,399 84,337,198 42,168,599 126,505,798 63,252,899 189,758,698 94,879,349 284,638,048 142,319,024 71,159,512 35,579,756 17,789,878 8,894,939 26,684,818 13,342,409 40,027,228 20,013,614 10,006,807 30,020,422 15,010,211 45,030,634 22,515,317 67,545,952 33,772,976 16,886,488 8,443,244

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
← Previous Integer #36,978,683 Browse Full Index Next Integer #36,978,685 →