λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,909,147
36,909,147
3 × 11 × 47 × 53 × 449
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 11 × 47 × 53 × 449
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 55,987,200
Proper Divisor Sum 19,078,053
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #36909139 ← → #36909163

Radix Representation

Decimal 36909147
Binary 10001100110011000001011011 (26 bits)
Octal 0o214630133
Hexadecimal 0x233305B

Divisor Catalog (32)

1 3 11 33 47 53 141 159 449 517 583 1,347 1,551 1,749 2,491 4,939 7,473 14,817 21,103 23,797 27,401 63,309 71,391 82,203 232,133 261,767 696,399 785,301 1,118,459 3,355,377 12,303,049 36,909,147

Collatz Trajectory (333 steps to reach 1)

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

36,909,147 110,727,442 55,363,721 166,091,164 83,045,582 41,522,791 124,568,374 62,284,187 186,852,562 93,426,281 280,278,844 140,139,422 70,069,711 210,209,134 105,104,567 315,313,702 157,656,851 472,970,554 236,485,277 709,455,832 354,727,916 177,363,958 88,681,979 266,045,938 133,022,969 399,068,908 199,534,454 99,767,227 299,301,682 149,650,841 448,952,524 224,476,262 112,238,131 336,714,394 168,357,197 505,071,592 252,535,796 126,267,898 63,133,949 189,401,848 94,700,924 47,350,462 23,675,231 71,025,694 35,512,847 106,538,542 53,269,271 159,807,814 79,903,907 239,711,722 119,855,861 359,567,584 179,783,792 89,891,896 44,945,948 22,472,974 11,236,487 33,709,462 16,854,731 50,564,194

Active Feeder Network

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

Feeder #1,448,561 Feeder #6,970,568 Feeder #2,947,453 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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