λ
Ratio Atlas
Atlas › Integer Profiles › Node 65,626,281
65,626,281
35 × 7 × 41 × 941
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^5 × 7 × 41 × 941
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 115,210,368
Proper Divisor Sum 49,584,087
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #65626279 ← → #65626313

Radix Representation

Decimal 65626281
Binary 11111010010110000010101001 (26 bits)
Octal 0o372260251
Hexadecimal 0x3E960A9

Divisor Catalog (48)

1 3 7 9 21 27 41 63 81 123 189 243 287 369 567 861 941 1,107 1,701 2,583 2,823 3,321 6,587 7,749 8,469 9,963 19,761 23,247 25,407 38,581 59,283 69,741 76,221 115,743 177,849 228,663 270,067 347,229 533,547 810,201 1,041,687 1,600,641 2,430,603 3,125,061 7,291,809 9,375,183 21,875,427 65,626,281

Collatz Trajectory (339 steps to reach 1)

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

65,626,281 196,878,844 98,439,422 49,219,711 147,659,134 73,829,567 221,488,702 110,744,351 332,233,054 166,116,527 498,349,582 249,174,791 747,524,374 373,762,187 1,121,286,562 560,643,281 1,681,929,844 840,964,922 420,482,461 1,261,447,384 630,723,692 315,361,846 157,680,923 473,042,770 236,521,385 709,564,156 354,782,078 177,391,039 532,173,118 266,086,559 798,259,678 399,129,839 1,197,389,518 598,694,759 1,796,084,278 898,042,139 2,694,126,418 1,347,063,209 4,041,189,628 2,020,594,814 1,010,297,407 3,030,892,222 1,515,446,111 4,546,338,334 2,273,169,167 6,819,507,502 3,409,753,751 10,229,261,254 5,114,630,627 15,343,891,882 7,671,945,941 23,015,837,824 11,507,918,912 5,753,959,456 2,876,979,728 1,438,489,864 719,244,932 359,622,466 179,811,233 539,433,700

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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