λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,185,152
2,185,152
26 × 3 × 19 × 599
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 3 × 19 × 599
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 6,096,000
Proper Divisor Sum 3,910,848
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2185151 ← → #2185181

Radix Representation

Decimal 2185152
Binary 1000010101011111000000 (22 bits)
Octal 0o10253700
Hexadecimal 0x2157C0

Divisor Catalog (56)

1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 599 608 912 1,198 1,216 1,797 1,824 2,396 3,594 3,648 4,792 7,188 9,584 11,381 14,376 19,168 22,762 28,752 34,143 38,336 45,524 57,504 68,286 91,048 115,008 136,572 182,096 273,144 364,192 546,288 728,384 1,092,576 2,185,152

Collatz Trajectory (179 steps to reach 1)

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

2,185,152 1,092,576 546,288 273,144 136,572 68,286 34,143 102,430 51,215 153,646 76,823 230,470 115,235 345,706 172,853 518,560 259,280 129,640 64,820 32,410 16,205 48,616 24,308 12,154 6,077 18,232 9,116 4,558 2,279 6,838 3,419 10,258 5,129 15,388 7,694 3,847 11,542 5,771 17,314 8,657 25,972 12,986 6,493 19,480 9,740 4,870 2,435 7,306 3,653 10,960 5,480 2,740 1,370 685 2,056 1,028 514 257 772 386

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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