λ
Ratio Atlas
Atlas › Integer Profiles › Node 823,935
823,935
3 × 5 × 72 × 19 × 59
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 7^2 × 19 × 59
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 1,641,600
Proper Divisor Sum 817,665
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #823913 ← → #823961

Radix Representation

Decimal 823935
Binary 11001001001001111111 (20 bits)
Octal 0o3111177
Hexadecimal 0xC927F

Divisor Catalog (48)

1 3 5 7 15 19 21 35 49 57 59 95 105 133 147 177 245 285 295 399 413 665 735 885 931 1,121 1,239 1,995 2,065 2,793 2,891 3,363 4,655 5,605 6,195 7,847 8,673 13,965 14,455 16,815 23,541 39,235 43,365 54,929 117,705 164,787 274,645 823,935

Collatz Trajectory (219 steps to reach 1)

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

823,935 2,471,806 1,235,903 3,707,710 1,853,855 5,561,566 2,780,783 8,342,350 4,171,175 12,513,526 6,256,763 18,770,290 9,385,145 28,155,436 14,077,718 7,038,859 21,116,578 10,558,289 31,674,868 15,837,434 7,918,717 23,756,152 11,878,076 5,939,038 2,969,519 8,908,558 4,454,279 13,362,838 6,681,419 20,044,258 10,022,129 30,066,388 15,033,194 7,516,597 22,549,792 11,274,896 5,637,448 2,818,724 1,409,362 704,681 2,114,044 1,057,022 528,511 1,585,534 792,767 2,378,302 1,189,151 3,567,454 1,783,727 5,351,182 2,675,591 8,026,774 4,013,387 12,040,162 6,020,081 18,060,244 9,030,122 4,515,061 13,545,184 6,772,592

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
← Previous Integer #823,934 Browse Full Index Next Integer #823,936 →