λ
Ratio Atlas
Atlas › Integer Profiles › Node 40,970,878
40,970,878
2 × 13 × 19 × 197 × 421
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 13 × 19 × 197 × 421
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 70,187,040
Proper Divisor Sum 29,216,162
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #40970869 ← → #40970879

Radix Representation

Decimal 40970878
Binary 10011100010010101001111110 (26 bits)
Octal 0o234225176
Hexadecimal 0x2712A7E

Divisor Catalog (32)

1 2 13 19 26 38 197 247 394 421 494 842 2,561 3,743 5,122 5,473 7,486 7,999 10,946 15,998 48,659 82,937 97,318 103,987 165,874 207,974 1,078,181 1,575,803 2,156,362 3,151,606 20,485,439 40,970,878

Collatz Trajectory (147 steps to reach 1)

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

40,970,878 20,485,439 61,456,318 30,728,159 92,184,478 46,092,239 138,276,718 69,138,359 207,415,078 103,707,539 311,122,618 155,561,309 466,683,928 233,341,964 116,670,982 58,335,491 175,006,474 87,503,237 262,509,712 131,254,856 65,627,428 32,813,714 16,406,857 49,220,572 24,610,286 12,305,143 36,915,430 18,457,715 55,373,146 27,686,573 83,059,720 41,529,860 20,764,930 10,382,465 31,147,396 15,573,698 7,786,849 23,360,548 11,680,274 5,840,137 17,520,412 8,760,206 4,380,103 13,140,310 6,570,155 19,710,466 9,855,233 29,565,700 14,782,850 7,391,425 22,174,276 11,087,138 5,543,569 16,630,708 8,315,354 4,157,677 12,473,032 6,236,516 3,118,258 1,559,129

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
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