λ
Ratio Atlas
Atlas › Integer Profiles › Node 31,152
31,152
24 × 3 × 11 × 59
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3 × 11 × 59
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 89,280
Proper Divisor Sum 58,128
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #31151 ← → #31153

Radix Representation

Decimal 31152
Binary 111100110110000 (15 bits)
Octal 0o74660
Hexadecimal 0x79B0

Divisor Catalog (40)

1 2 3 4 6 8 11 12 16 22 24 33 44 48 59 66 88 118 132 176 177 236 264 354 472 528 649 708 944 1,298 1,416 1,947 2,596 2,832 3,894 5,192 7,788 10,384 15,576 31,152

Collatz Trajectory (85 steps to reach 1)

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

31,152 15,576 7,788 3,894 1,947 5,842 2,921 8,764 4,382 2,191 6,574 3,287 9,862 4,931 14,794 7,397 22,192 11,096 5,548 2,774 1,387 4,162 2,081 6,244 3,122 1,561 4,684 2,342 1,171 3,514 1,757 5,272 2,636 1,318 659 1,978 989 2,968 1,484 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202

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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