λ
Ratio Atlas
Atlas › Integer Profiles › Node 97,520,148
97,520,148
22 × 32 × 11 × 89 × 2767
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^2 × 11 × 89 × 2767
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 272,039,040
Proper Divisor Sum 174,518,892
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #97520147 ← → #97520153

Radix Representation

Decimal 97520148
Binary 101110100000000101000010100 (27 bits)
Octal 0o564005024
Hexadecimal 0x5D00A14

Divisor Catalog (60 of 72)

1 2 3 4 6 9 11 12 18 22 33 36 44 66 89 99 132 178 198 267 356 396 534 801 979 1,068 1,602 1,958 2,767 2,937 3,204 3,916 5,534 5,874 8,301 8,811 11,068 11,748 16,602 17,622 24,903 30,437 33,204 35,244 49,806 60,874 91,311 99,612 121,748 182,622 246,263 273,933 365,244 492,526 547,866 738,789 985,052 1,095,732 1,477,578 2,216,367

Collatz Trajectory (262 steps to reach 1)

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

97,520,148 48,760,074 24,380,037 73,140,112 36,570,056 18,285,028 9,142,514 4,571,257 13,713,772 6,856,886 3,428,443 10,285,330 5,142,665 15,427,996 7,713,998 3,856,999 11,570,998 5,785,499 17,356,498 8,678,249 26,034,748 13,017,374 6,508,687 19,526,062 9,763,031 29,289,094 14,644,547 43,933,642 21,966,821 65,900,464 32,950,232 16,475,116 8,237,558 4,118,779 12,356,338 6,178,169 18,534,508 9,267,254 4,633,627 13,900,882 6,950,441 20,851,324 10,425,662 5,212,831 15,638,494 7,819,247 23,457,742 11,728,871 35,186,614 17,593,307 52,779,922 26,389,961 79,169,884 39,584,942 19,792,471 59,377,414 29,688,707 89,066,122 44,533,061 133,599,184

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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