λ
Ratio Atlas
Atlas › Integer Profiles › Node 6,822,015
6,822,015
3 × 5 × 17 × 31 × 863
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 17 × 31 × 863
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,943,936
Proper Divisor Sum 5,121,921
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #6821963 ← → #6822017

Radix Representation

Decimal 6822015
Binary 11010000001100001111111 (23 bits)
Octal 0o32014177
Hexadecimal 0x68187F

Divisor Catalog (32)

1 3 5 15 17 31 51 85 93 155 255 465 527 863 1,581 2,589 2,635 4,315 7,905 12,945 14,671 26,753 44,013 73,355 80,259 133,765 220,065 401,295 454,801 1,364,403 2,274,005 6,822,015

Collatz Trajectory (222 steps to reach 1)

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

6,822,015 20,466,046 10,233,023 30,699,070 15,349,535 46,048,606 23,024,303 69,072,910 34,536,455 103,609,366 51,804,683 155,414,050 77,707,025 233,121,076 116,560,538 58,280,269 174,840,808 87,420,404 43,710,202 21,855,101 65,565,304 32,782,652 16,391,326 8,195,663 24,586,990 12,293,495 36,880,486 18,440,243 55,320,730 27,660,365 82,981,096 41,490,548 20,745,274 10,372,637 31,117,912 15,558,956 7,779,478 3,889,739 11,669,218 5,834,609 17,503,828 8,751,914 4,375,957 13,127,872 6,563,936 3,281,968 1,640,984 820,492 410,246 205,123 615,370 307,685 923,056 461,528 230,764 115,382 57,691 173,074 86,537 259,612

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 #6,822,014 Browse Full Index Next Integer #6,822,016 →