λ
Ratio Atlas
Atlas › Integer Profiles › Node 40,967,458
40,967,458
2 × 7 × 19 × 233 × 661
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 7 × 19 × 233 × 661
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 74,355,840
Proper Divisor Sum 33,388,382
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #40967453 ← → #40967483

Radix Representation

Decimal 40967458
Binary 10011100010001110100100010 (26 bits)
Octal 0o234216442
Hexadecimal 0x2711D22

Divisor Catalog (32)

1 2 7 14 19 38 133 233 266 466 661 1,322 1,631 3,262 4,427 4,627 8,854 9,254 12,559 25,118 30,989 61,978 87,913 154,013 175,826 308,026 1,078,091 2,156,182 2,926,247 5,852,494 20,483,729 40,967,458

Collatz Trajectory (147 steps to reach 1)

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

40,967,458 20,483,729 61,451,188 30,725,594 15,362,797 46,088,392 23,044,196 11,522,098 5,761,049 17,283,148 8,641,574 4,320,787 12,962,362 6,481,181 19,443,544 9,721,772 4,860,886 2,430,443 7,291,330 3,645,665 10,936,996 5,468,498 2,734,249 8,202,748 4,101,374 2,050,687 6,152,062 3,076,031 9,228,094 4,614,047 13,842,142 6,921,071 20,763,214 10,381,607 31,144,822 15,572,411 46,717,234 23,358,617 70,075,852 35,037,926 17,518,963 52,556,890 26,278,445 78,835,336 39,417,668 19,708,834 9,854,417 29,563,252 14,781,626 7,390,813 22,172,440 11,086,220 5,543,110 2,771,555 8,314,666 4,157,333 12,472,000 6,236,000 3,118,000 1,559,000

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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