λ
Ratio Atlas
Atlas › Integer Profiles › Node 23,978,748
23,978,748
22 × 3 × 31 × 73 × 883
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 31 × 73 × 883
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 58,612,736
Proper Divisor Sum 34,633,988
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #23978711 ← → #23978749

Radix Representation

Decimal 23978748
Binary 1011011011110001011111100 (25 bits)
Octal 0o133361374
Hexadecimal 0x16DE2FC

Divisor Catalog (48)

1 2 3 4 6 12 31 62 73 93 124 146 186 219 292 372 438 876 883 1,766 2,263 2,649 3,532 4,526 5,298 6,789 9,052 10,596 13,578 27,156 27,373 54,746 64,459 82,119 109,492 128,918 164,238 193,377 257,836 328,476 386,754 773,508 1,998,229 3,996,458 5,994,687 7,992,916 11,989,374 23,978,748

Collatz Trajectory (229 steps to reach 1)

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

23,978,748 11,989,374 5,994,687 17,984,062 8,992,031 26,976,094 13,488,047 40,464,142 20,232,071 60,696,214 30,348,107 91,044,322 45,522,161 136,566,484 68,283,242 34,141,621 102,424,864 51,212,432 25,606,216 12,803,108 6,401,554 3,200,777 9,602,332 4,801,166 2,400,583 7,201,750 3,600,875 10,802,626 5,401,313 16,203,940 8,101,970 4,050,985 12,152,956 6,076,478 3,038,239 9,114,718 4,557,359 13,672,078 6,836,039 20,508,118 10,254,059 30,762,178 15,381,089 46,143,268 23,071,634 11,535,817 34,607,452 17,303,726 8,651,863 25,955,590 12,977,795 38,933,386 19,466,693 58,400,080 29,200,040 14,600,020 7,300,010 3,650,005 10,950,016 5,475,008

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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