λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,968,316
36,968,316
22 × 3 × 7 × 11 × 40009
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 11 × 40009
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 107,546,880
Proper Divisor Sum 70,578,564
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #36968311 ← → #36968317

Radix Representation

Decimal 36968316
Binary 10001101000001011101111100 (26 bits)
Octal 0o215013574
Hexadecimal 0x234177C

Divisor Catalog (48)

1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 40,009 80,018 120,027 160,036 240,054 280,063 440,099 480,108 560,126 840,189 880,198 1,120,252 1,320,297 1,680,378 1,760,396 2,640,594 3,080,693 3,360,756 5,281,188 6,161,386 9,242,079 12,322,772 18,484,158 36,968,316

Collatz Trajectory (227 steps to reach 1)

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

36,968,316 18,484,158 9,242,079 27,726,238 13,863,119 41,589,358 20,794,679 62,384,038 31,192,019 93,576,058 46,788,029 140,364,088 70,182,044 35,091,022 17,545,511 52,636,534 26,318,267 78,954,802 39,477,401 118,432,204 59,216,102 29,608,051 88,824,154 44,412,077 133,236,232 66,618,116 33,309,058 16,654,529 49,963,588 24,981,794 12,490,897 37,472,692 18,736,346 9,368,173 28,104,520 14,052,260 7,026,130 3,513,065 10,539,196 5,269,598 2,634,799 7,904,398 3,952,199 11,856,598 5,928,299 17,784,898 8,892,449 26,677,348 13,338,674 6,669,337 20,008,012 10,004,006 5,002,003 15,006,010 7,503,005 22,509,016 11,254,508 5,627,254 2,813,627 8,440,882

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 #36,968,315 Browse Full Index Next Integer #36,968,317 →