λ
Ratio Atlas
Atlas › Integer Profiles › Node 40,916,637
40,916,637
33 × 17 × 97 × 919
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^3 × 17 × 97 × 919
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 64,915,200
Proper Divisor Sum 23,998,563
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #40916611 ← → #40916639

Radix Representation

Decimal 40916637
Binary 10011100000101011010011101 (26 bits)
Octal 0o234053235
Hexadecimal 0x270569D

Divisor Catalog (32)

1 3 9 17 27 51 97 153 291 459 873 919 1,649 2,619 2,757 4,947 8,271 14,841 15,623 24,813 44,523 46,869 89,143 140,607 267,429 421,821 802,287 1,515,431 2,406,861 4,546,293 13,638,879 40,916,637

Collatz Trajectory (284 steps to reach 1)

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

40,916,637 122,749,912 61,374,956 30,687,478 15,343,739 46,031,218 23,015,609 69,046,828 34,523,414 17,261,707 51,785,122 25,892,561 77,677,684 38,838,842 19,419,421 58,258,264 29,129,132 14,564,566 7,282,283 21,846,850 10,923,425 32,770,276 16,385,138 8,192,569 24,577,708 12,288,854 6,144,427 18,433,282 9,216,641 27,649,924 13,824,962 6,912,481 20,737,444 10,368,722 5,184,361 15,553,084 7,776,542 3,888,271 11,664,814 5,832,407 17,497,222 8,748,611 26,245,834 13,122,917 39,368,752 19,684,376 9,842,188 4,921,094 2,460,547 7,381,642 3,690,821 11,072,464 5,536,232 2,768,116 1,384,058 692,029 2,076,088 1,038,044 519,022 259,511

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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