λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,933,273
36,933,273
33 × 13 × 139 × 757
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^3 × 13 × 139 × 757
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 59,427,200
Proper Divisor Sum 22,493,927
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #36933271 ← → #36933293

Radix Representation

Decimal 36933273
Binary 10001100111000111010011001 (26 bits)
Octal 0o214707231
Hexadecimal 0x2338E99

Divisor Catalog (32)

1 3 9 13 27 39 117 139 351 417 757 1,251 1,807 2,271 3,753 5,421 6,813 9,841 16,263 20,439 29,523 48,789 88,569 105,223 265,707 315,669 947,007 1,367,899 2,841,021 4,103,697 12,311,091 36,933,273

Collatz Trajectory (170 steps to reach 1)

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

36,933,273 110,799,820 55,399,910 27,699,955 83,099,866 41,549,933 124,649,800 62,324,900 31,162,450 15,581,225 46,743,676 23,371,838 11,685,919 35,057,758 17,528,879 52,586,638 26,293,319 78,879,958 39,439,979 118,319,938 59,159,969 177,479,908 88,739,954 44,369,977 133,109,932 66,554,966 33,277,483 99,832,450 49,916,225 149,748,676 74,874,338 37,437,169 112,311,508 56,155,754 28,077,877 84,233,632 42,116,816 21,058,408 10,529,204 5,264,602 2,632,301 7,896,904 3,948,452 1,974,226 987,113 2,961,340 1,480,670 740,335 2,221,006 1,110,503 3,331,510 1,665,755 4,997,266 2,498,633 7,495,900 3,747,950 1,873,975 5,621,926 2,810,963 8,432,890

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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