λ
Ratio Atlas
Atlas › Integer Profiles › Node 46,256,830
46,256,830
2 × 5 × 17 × 19 × 14321
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 17 × 19 × 14321
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 92,806,560
Proper Divisor Sum 46,549,730
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #46256803 ← → #46256831

Radix Representation

Decimal 46256830
Binary 10110000011101001010111110 (26 bits)
Octal 0o260351276
Hexadecimal 0x2C1D2BE

Divisor Catalog (32)

1 2 5 10 17 19 34 38 85 95 170 190 323 646 1,615 3,230 14,321 28,642 71,605 143,210 243,457 272,099 486,914 544,198 1,217,285 1,360,495 2,434,570 2,720,990 4,625,683 9,251,366 23,128,415 46,256,830

Collatz Trajectory (160 steps to reach 1)

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

46,256,830 23,128,415 69,385,246 34,692,623 104,077,870 52,038,935 156,116,806 78,058,403 234,175,210 117,087,605 351,262,816 175,631,408 87,815,704 43,907,852 21,953,926 10,976,963 32,930,890 16,465,445 49,396,336 24,698,168 12,349,084 6,174,542 3,087,271 9,261,814 4,630,907 13,892,722 6,946,361 20,839,084 10,419,542 5,209,771 15,629,314 7,814,657 23,443,972 11,721,986 5,860,993 17,582,980 8,791,490 4,395,745 13,187,236 6,593,618 3,296,809 9,890,428 4,945,214 2,472,607 7,417,822 3,708,911 11,126,734 5,563,367 16,690,102 8,345,051 25,035,154 12,517,577 37,552,732 18,776,366 9,388,183 28,164,550 14,082,275 42,246,826 21,123,413 63,370,240

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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