λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,197,152
2,197,152
25 × 33 × 2543
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3^3 × 2543
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 6,410,880
Proper Divisor Sum 4,213,728
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2197087 ← → #2197157

Radix Representation

Decimal 2197152
Binary 1000011000011010100000 (22 bits)
Octal 0o10303240
Hexadecimal 0x2186A0

Divisor Catalog (48)

1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 2,543 5,086 7,629 10,172 15,258 20,344 22,887 30,516 40,688 45,774 61,032 68,661 81,376 91,548 122,064 137,322 183,096 244,128 274,644 366,192 549,288 732,384 1,098,576 2,197,152

Collatz Trajectory (86 steps to reach 1)

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

2,197,152 1,098,576 549,288 274,644 137,322 68,661 205,984 102,992 51,496 25,748 12,874 6,437 19,312 9,656 4,828 2,414 1,207 3,622 1,811 5,434 2,717 8,152 4,076 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65

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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