λ
Ratio Atlas
Atlas › Integer Profiles › Node 33,765,016
33,765,016
23 × 372 × 3083
Deficient Even Composite

Prime Factor Structure

Factorization String 2^3 × 37^2 × 3083
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 65,087,820
Proper Divisor Sum 31,322,804
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #33764999 ← → #33765047

Radix Representation

Decimal 33765016
Binary 10000000110011011010011000 (26 bits)
Octal 0o200633230
Hexadecimal 0x2033698

Divisor Catalog (24)

1 2 4 8 37 74 148 296 1,369 2,738 3,083 5,476 6,166 10,952 12,332 24,664 114,071 228,142 456,284 912,568 4,220,627 8,441,254 16,882,508 33,765,016

Collatz Trajectory (131 steps to reach 1)

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

33,765,016 16,882,508 8,441,254 4,220,627 12,661,882 6,330,941 18,992,824 9,496,412 4,748,206 2,374,103 7,122,310 3,561,155 10,683,466 5,341,733 16,025,200 8,012,600 4,006,300 2,003,150 1,001,575 3,004,726 1,502,363 4,507,090 2,253,545 6,760,636 3,380,318 1,690,159 5,070,478 2,535,239 7,605,718 3,802,859 11,408,578 5,704,289 17,112,868 8,556,434 4,278,217 12,834,652 6,417,326 3,208,663 9,625,990 4,812,995 14,438,986 7,219,493 21,658,480 10,829,240 5,414,620 2,707,310 1,353,655 4,060,966 2,030,483 6,091,450 3,045,725 9,137,176 4,568,588 2,284,294 1,142,147 3,426,442 1,713,221 5,139,664 2,569,832 1,284,916

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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