λ
Ratio Atlas
Atlas › Integer Profiles › Node 67,775,337
67,775,337
32 × 7 × 19 × 41 × 1381
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 7 × 19 × 41 × 1381
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 120,731,520
Proper Divisor Sum 52,956,183
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #67775333 ← → #67775341

Radix Representation

Decimal 67775337
Binary 100000010100010101101101001 (27 bits)
Octal 0o402425551
Hexadecimal 0x40A2B69

Divisor Catalog (48)

1 3 7 9 19 21 41 57 63 123 133 171 287 369 399 779 861 1,197 1,381 2,337 2,583 4,143 5,453 7,011 9,667 12,429 16,359 26,239 29,001 49,077 56,621 78,717 87,003 169,863 183,673 236,151 396,347 509,589 551,019 1,075,799 1,189,041 1,653,057 3,227,397 3,567,123 7,530,593 9,682,191 22,591,779 67,775,337

Collatz Trajectory (158 steps to reach 1)

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

67,775,337 203,326,012 101,663,006 50,831,503 152,494,510 76,247,255 228,741,766 114,370,883 343,112,650 171,556,325 514,668,976 257,334,488 128,667,244 64,333,622 32,166,811 96,500,434 48,250,217 144,750,652 72,375,326 36,187,663 108,562,990 54,281,495 162,844,486 81,422,243 244,266,730 122,133,365 366,400,096 183,200,048 91,600,024 45,800,012 22,900,006 11,450,003 34,350,010 17,175,005 51,525,016 25,762,508 12,881,254 6,440,627 19,321,882 9,660,941 28,982,824 14,491,412 7,245,706 3,622,853 10,868,560 5,434,280 2,717,140 1,358,570 679,285 2,037,856 1,018,928 509,464 254,732 127,366 63,683 191,050 95,525 286,576 143,288 71,644

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 #67,775,336 Browse Full Index Next Integer #67,775,338 →