λ
Ratio Atlas
Atlas › Integer Profiles › Node 40,151,142
40,151,142
2 × 32 × 192 × 37 × 167
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 19^2 × 37 × 167
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 94,859,856
Proper Divisor Sum 54,708,714
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #40151129 ← → #40151143

Radix Representation

Decimal 40151142
Binary 10011001001010100001100110 (26 bits)
Octal 0o231124146
Hexadecimal 0x264A866

Divisor Catalog (60 of 72)

1 2 3 6 9 18 19 37 38 57 74 111 114 167 171 222 333 334 342 361 501 666 703 722 1,002 1,083 1,406 1,503 2,109 2,166 3,006 3,173 3,249 4,218 6,179 6,327 6,346 6,498 9,519 12,358 12,654 13,357 18,537 19,038 26,714 28,557 37,074 40,071 55,611 57,114 60,287 80,142 111,222 117,401 120,213 120,574 180,861 234,802 240,426 352,203

Collatz Trajectory (284 steps to reach 1)

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

40,151,142 20,075,571 60,226,714 30,113,357 90,340,072 45,170,036 22,585,018 11,292,509 33,877,528 16,938,764 8,469,382 4,234,691 12,704,074 6,352,037 19,056,112 9,528,056 4,764,028 2,382,014 1,191,007 3,573,022 1,786,511 5,359,534 2,679,767 8,039,302 4,019,651 12,058,954 6,029,477 18,088,432 9,044,216 4,522,108 2,261,054 1,130,527 3,391,582 1,695,791 5,087,374 2,543,687 7,631,062 3,815,531 11,446,594 5,723,297 17,169,892 8,584,946 4,292,473 12,877,420 6,438,710 3,219,355 9,658,066 4,829,033 14,487,100 7,243,550 3,621,775 10,865,326 5,432,663 16,297,990 8,148,995 24,446,986 12,223,493 36,670,480 18,335,240 9,167,620

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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