λ
Ratio Atlas
Atlas › Integer Profiles › Node 10,257,585
10,257,585
3 × 5 × 13 × 41 × 1283
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 13 × 41 × 1283
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 18,119,808
Proper Divisor Sum 7,862,223
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #10257557 ← → #10257589

Radix Representation

Decimal 10257585
Binary 100111001000010010110001 (24 bits)
Octal 0o47102261
Hexadecimal 0x9C84B1

Divisor Catalog (32)

1 3 5 13 15 39 41 65 123 195 205 533 615 1,283 1,599 2,665 3,849 6,415 7,995 16,679 19,245 50,037 52,603 83,395 157,809 250,185 263,015 683,839 789,045 2,051,517 3,419,195 10,257,585

Collatz Trajectory (127 steps to reach 1)

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

10,257,585 30,772,756 15,386,378 7,693,189 23,079,568 11,539,784 5,769,892 2,884,946 1,442,473 4,327,420 2,163,710 1,081,855 3,245,566 1,622,783 4,868,350 2,434,175 7,302,526 3,651,263 10,953,790 5,476,895 16,430,686 8,215,343 24,646,030 12,323,015 36,969,046 18,484,523 55,453,570 27,726,785 83,180,356 41,590,178 20,795,089 62,385,268 31,192,634 15,596,317 46,788,952 23,394,476 11,697,238 5,848,619 17,545,858 8,772,929 26,318,788 13,159,394 6,579,697 19,739,092 9,869,546 4,934,773 14,804,320 7,402,160 3,701,080 1,850,540 925,270 462,635 1,387,906 693,953 2,081,860 1,040,930 520,465 1,561,396 780,698 390,349

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
← Previous Integer #10,257,584 Browse Full Index Next Integer #10,257,586 →