λ
Ratio Atlas
Atlas › Integer Profiles › Node 46,032,516
46,032,516
22 × 33 × 19 × 22433
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^3 × 19 × 22433
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 125,630,400
Proper Divisor Sum 79,597,884
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #46032509 ← → #46032517

Radix Representation

Decimal 46032516
Binary 10101111100110011010000100 (26 bits)
Octal 0o257463204
Hexadecimal 0x2BE6684

Divisor Catalog (48)

1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 684 1,026 2,052 22,433 44,866 67,299 89,732 134,598 201,897 269,196 403,794 426,227 605,691 807,588 852,454 1,211,382 1,278,681 1,704,908 2,422,764 2,557,362 3,836,043 5,114,724 7,672,086 11,508,129 15,344,172 23,016,258 46,032,516

Collatz Trajectory (248 steps to reach 1)

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

46,032,516 23,016,258 11,508,129 34,524,388 17,262,194 8,631,097 25,893,292 12,946,646 6,473,323 19,419,970 9,709,985 29,129,956 14,564,978 7,282,489 21,847,468 10,923,734 5,461,867 16,385,602 8,192,801 24,578,404 12,289,202 6,144,601 18,433,804 9,216,902 4,608,451 13,825,354 6,912,677 20,738,032 10,369,016 5,184,508 2,592,254 1,296,127 3,888,382 1,944,191 5,832,574 2,916,287 8,748,862 4,374,431 13,123,294 6,561,647 19,684,942 9,842,471 29,527,414 14,763,707 44,291,122 22,145,561 66,436,684 33,218,342 16,609,171 49,827,514 24,913,757 74,741,272 37,370,636 18,685,318 9,342,659 28,027,978 14,013,989 42,041,968 21,020,984 10,510,492

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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