λ
Ratio Atlas
Atlas › Integer Profiles › Node 10,923,975
10,923,975
32 × 52 × 47 × 1033
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5^2 × 47 × 1033
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 20,001,696
Proper Divisor Sum 9,077,721
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #10923967 ← → #10924003

Radix Representation

Decimal 10923975
Binary 101001101010111111000111 (24 bits)
Octal 0o51527707
Hexadecimal 0xA6AFC7

Divisor Catalog (36)

1 3 5 9 15 25 45 47 75 141 225 235 423 705 1,033 1,175 2,115 3,099 3,525 5,165 9,297 10,575 15,495 25,825 46,485 48,551 77,475 145,653 232,425 242,755 436,959 728,265 1,213,775 2,184,795 3,641,325 10,923,975

Collatz Trajectory (233 steps to reach 1)

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

10,923,975 32,771,926 16,385,963 49,157,890 24,578,945 73,736,836 36,868,418 18,434,209 55,302,628 27,651,314 13,825,657 41,476,972 20,738,486 10,369,243 31,107,730 15,553,865 46,661,596 23,330,798 11,665,399 34,996,198 17,498,099 52,494,298 26,247,149 78,741,448 39,370,724 19,685,362 9,842,681 29,528,044 14,764,022 7,382,011 22,146,034 11,073,017 33,219,052 16,609,526 8,304,763 24,914,290 12,457,145 37,371,436 18,685,718 9,342,859 28,028,578 14,014,289 42,042,868 21,021,434 10,510,717 31,532,152 15,766,076 7,883,038 3,941,519 11,824,558 5,912,279 17,736,838 8,868,419 26,605,258 13,302,629 39,907,888 19,953,944 9,976,972 4,988,486 2,494,243

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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