λ
Ratio Atlas
Atlas › Integer Profiles › Node 5,347,755
5,347,755
33 × 5 × 7 × 5659
Abundant Odd Composite

Prime Factor Structure

Factorization String 3^3 × 5 × 7 × 5659
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,867,200
Proper Divisor Sum 5,519,445
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5347751 ← → #5347777

Radix Representation

Decimal 5347755
Binary 10100011001100110101011 (23 bits)
Octal 0o24314653
Hexadecimal 0x5199AB

Divisor Catalog (32)

1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 5,659 16,977 28,295 39,613 50,931 84,885 118,839 152,793 198,065 254,655 356,517 594,195 763,965 1,069,551 1,782,585 5,347,755

Collatz Trajectory (263 steps to reach 1)

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

5,347,755 16,043,266 8,021,633 24,064,900 12,032,450 6,016,225 18,048,676 9,024,338 4,512,169 13,536,508 6,768,254 3,384,127 10,152,382 5,076,191 15,228,574 7,614,287 22,842,862 11,421,431 34,264,294 17,132,147 51,396,442 25,698,221 77,094,664 38,547,332 19,273,666 9,636,833 28,910,500 14,455,250 7,227,625 21,682,876 10,841,438 5,420,719 16,262,158 8,131,079 24,393,238 12,196,619 36,589,858 18,294,929 54,884,788 27,442,394 13,721,197 41,163,592 20,581,796 10,290,898 5,145,449 15,436,348 7,718,174 3,859,087 11,577,262 5,788,631 17,365,894 8,682,947 26,048,842 13,024,421 39,073,264 19,536,632 9,768,316 4,884,158 2,442,079 7,326,238

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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