λ
Ratio Atlas
Atlas › Integer Profiles › Node 41,004,201
41,004,201
3 × 7 × 67 × 151 × 193
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7 × 67 × 151 × 193
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 64,165,888
Proper Divisor Sum 23,161,687
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #41004199 ← → #41004203

Radix Representation

Decimal 41004201
Binary 10011100011010110010101001 (26 bits)
Octal 0o234326251
Hexadecimal 0x271ACA9

Divisor Catalog (32)

1 3 7 21 67 151 193 201 453 469 579 1,057 1,351 1,407 3,171 4,053 10,117 12,931 29,143 30,351 38,793 70,819 87,429 90,517 204,001 212,457 271,551 612,003 1,952,581 5,857,743 13,668,067 41,004,201

Collatz Trajectory (129 steps to reach 1)

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

41,004,201 123,012,604 61,506,302 30,753,151 92,259,454 46,129,727 138,389,182 69,194,591 207,583,774 103,791,887 311,375,662 155,687,831 467,063,494 233,531,747 700,595,242 350,297,621 1,050,892,864 525,446,432 262,723,216 131,361,608 65,680,804 32,840,402 16,420,201 49,260,604 24,630,302 12,315,151 36,945,454 18,472,727 55,418,182 27,709,091 83,127,274 41,563,637 124,690,912 62,345,456 31,172,728 15,586,364 7,793,182 3,896,591 11,689,774 5,844,887 17,534,662 8,767,331 26,301,994 13,150,997 39,452,992 19,726,496 9,863,248 4,931,624 2,465,812 1,232,906 616,453 1,849,360 924,680 462,340 231,170 115,585 346,756 173,378 86,689 260,068

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 #41,004,200 Browse Full Index Next Integer #41,004,202 →