λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,968,958
36,968,958
2 × 32 × 13 × 23 × 6869
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 13 × 23 × 6869
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 90,024,480
Proper Divisor Sum 53,055,522
Digit Sum / Digital Root 54 (Root: 9)
Adjacent Primes #36968951 ← → #36968959

Radix Representation

Decimal 36968958
Binary 10001101000001100111111110 (26 bits)
Octal 0o215014776
Hexadecimal 0x23419FE

Divisor Catalog (48)

1 2 3 6 9 13 18 23 26 39 46 69 78 117 138 207 234 299 414 598 897 1,794 2,691 5,382 6,869 13,738 20,607 41,214 61,821 89,297 123,642 157,987 178,594 267,891 315,974 473,961 535,782 803,673 947,922 1,421,883 1,607,346 2,053,831 2,843,766 4,107,662 6,161,493 12,322,986 18,484,479 36,968,958

Collatz Trajectory (165 steps to reach 1)

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

36,968,958 18,484,479 55,453,438 27,726,719 83,180,158 41,590,079 124,770,238 62,385,119 187,155,358 93,577,679 280,733,038 140,366,519 421,099,558 210,549,779 631,649,338 315,824,669 947,474,008 473,737,004 236,868,502 118,434,251 355,302,754 177,651,377 532,954,132 266,477,066 133,238,533 399,715,600 199,857,800 99,928,900 49,964,450 24,982,225 74,946,676 37,473,338 18,736,669 56,210,008 28,105,004 14,052,502 7,026,251 21,078,754 10,539,377 31,618,132 15,809,066 7,904,533 23,713,600 11,856,800 5,928,400 2,964,200 1,482,100 741,050 370,525 1,111,576 555,788 277,894 138,947 416,842 208,421 625,264 312,632 156,316 78,158 39,079

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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