λ
Ratio Atlas
Atlas › Integer Profiles › Node 42,181,748
42,181,748
22 × 72 × 19 × 47 × 241
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 7^2 × 19 × 47 × 241
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 92,695,680
Proper Divisor Sum 50,513,932
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #42181721 ← → #42181757

Radix Representation

Decimal 42181748
Binary 10100000111010010001110100 (26 bits)
Octal 0o240722164
Hexadecimal 0x283A474

Divisor Catalog (60 of 72)

1 2 4 7 14 19 28 38 47 49 76 94 98 133 188 196 241 266 329 482 532 658 893 931 964 1,316 1,687 1,786 1,862 2,303 3,374 3,572 3,724 4,579 4,606 6,251 6,748 9,158 9,212 11,327 11,809 12,502 18,316 22,654 23,618 25,004 32,053 43,757 45,308 47,236 64,106 79,289 87,514 128,212 158,578 175,028 215,213 224,371 317,156 430,426

Collatz Trajectory (160 steps to reach 1)

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

42,181,748 21,090,874 10,545,437 31,636,312 15,818,156 7,909,078 3,954,539 11,863,618 5,931,809 17,795,428 8,897,714 4,448,857 13,346,572 6,673,286 3,336,643 10,009,930 5,004,965 15,014,896 7,507,448 3,753,724 1,876,862 938,431 2,815,294 1,407,647 4,222,942 2,111,471 6,334,414 3,167,207 9,501,622 4,750,811 14,252,434 7,126,217 21,378,652 10,689,326 5,344,663 16,033,990 8,016,995 24,050,986 12,025,493 36,076,480 18,038,240 9,019,120 4,509,560 2,254,780 1,127,390 563,695 1,691,086 845,543 2,536,630 1,268,315 3,804,946 1,902,473 5,707,420 2,853,710 1,426,855 4,280,566 2,140,283 6,420,850 3,210,425 9,631,276

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
← Previous Integer #42,181,747 Browse Full Index Next Integer #42,181,749 →