λ
Ratio Atlas
Atlas › Integer Profiles › Node 40,257,516
40,257,516
22 × 3 × 13 × 258061
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 258061
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 101,160,304
Proper Divisor Sum 60,902,788
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #40257509 ← → #40257527

Radix Representation

Decimal 40257516
Binary 10011001100100011111101100 (26 bits)
Octal 0o231443754
Hexadecimal 0x26647EC

Divisor Catalog (24)

1 2 3 4 6 12 13 26 39 52 78 156 258,061 516,122 774,183 1,032,244 1,548,366 3,096,732 3,354,793 6,709,586 10,064,379 13,419,172 20,128,758 40,257,516

Collatz Trajectory (178 steps to reach 1)

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

40,257,516 20,128,758 10,064,379 30,193,138 15,096,569 45,289,708 22,644,854 11,322,427 33,967,282 16,983,641 50,950,924 25,475,462 12,737,731 38,213,194 19,106,597 57,319,792 28,659,896 14,329,948 7,164,974 3,582,487 10,747,462 5,373,731 16,121,194 8,060,597 24,181,792 12,090,896 6,045,448 3,022,724 1,511,362 755,681 2,267,044 1,133,522 566,761 1,700,284 850,142 425,071 1,275,214 637,607 1,912,822 956,411 2,869,234 1,434,617 4,303,852 2,151,926 1,075,963 3,227,890 1,613,945 4,841,836 2,420,918 1,210,459 3,631,378 1,815,689 5,447,068 2,723,534 1,361,767 4,085,302 2,042,651 6,127,954 3,063,977 9,191,932

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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