λ
Ratio Atlas
Atlas › Integer Profiles › Node 52,307,232
52,307,232
25 × 3 × 17 × 32051
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3 × 17 × 32051
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 145,387,872
Proper Divisor Sum 93,080,640
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #52307231 ← → #52307251

Radix Representation

Decimal 52307232
Binary 11000111100010010100100000 (26 bits)
Octal 0o307422440
Hexadecimal 0x31E2520

Divisor Catalog (48)

1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1,632 32,051 64,102 96,153 128,204 192,306 256,408 384,612 512,816 544,867 769,224 1,025,632 1,089,734 1,538,448 1,634,601 2,179,468 3,076,896 3,269,202 4,358,936 6,538,404 8,717,872 13,076,808 17,435,744 26,153,616 52,307,232

Collatz Trajectory (181 steps to reach 1)

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

52,307,232 26,153,616 13,076,808 6,538,404 3,269,202 1,634,601 4,903,804 2,451,902 1,225,951 3,677,854 1,838,927 5,516,782 2,758,391 8,275,174 4,137,587 12,412,762 6,206,381 18,619,144 9,309,572 4,654,786 2,327,393 6,982,180 3,491,090 1,745,545 5,236,636 2,618,318 1,309,159 3,927,478 1,963,739 5,891,218 2,945,609 8,836,828 4,418,414 2,209,207 6,627,622 3,313,811 9,941,434 4,970,717 14,912,152 7,456,076 3,728,038 1,864,019 5,592,058 2,796,029 8,388,088 4,194,044 2,097,022 1,048,511 3,145,534 1,572,767 4,718,302 2,359,151 7,077,454 3,538,727 10,616,182 5,308,091 15,924,274 7,962,137 23,886,412 11,943,206

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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