λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,191,968
2,191,968
25 × 33 × 43 × 59
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3^3 × 43 × 59
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 6,652,800
Proper Divisor Sum 4,460,832
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2191967 ← → #2191993

Radix Representation

Decimal 2191968
Binary 1000010111001001100000 (22 bits)
Octal 0o10271140
Hexadecimal 0x217260

Divisor Catalog (60 of 96)

1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 59 72 86 96 108 118 129 144 172 177 216 236 258 288 344 354 387 432 472 516 531 688 708 774 864 944 1,032 1,062 1,161 1,376 1,416 1,548 1,593 1,888 2,064 2,124 2,322 2,537 2,832 3,096 3,186 4,128 4,248

Collatz Trajectory (73 steps to reach 1)

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

2,191,968 1,095,984 547,992 273,996 136,998 68,499 205,498 102,749 308,248 154,124 77,062 38,531 115,594 57,797 173,392 86,696 43,348 21,674 10,837 32,512 16,256 8,128 4,064 2,032 1,016 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11

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
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