λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,313,530
3,313,530
2 × 32 × 5 × 11 × 3347
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 11 × 3347
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,401,184
Proper Divisor Sum 6,087,654
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #3313489 ← → #3313561

Radix Representation

Decimal 3313530
Binary 1100101000111101111010 (22 bits)
Octal 0o14507572
Hexadecimal 0x328F7A

Divisor Catalog (48)

1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 3,347 6,694 10,041 16,735 20,082 30,123 33,470 36,817 50,205 60,246 73,634 100,410 110,451 150,615 184,085 220,902 301,230 331,353 368,170 552,255 662,706 1,104,510 1,656,765 3,313,530

Collatz Trajectory (164 steps to reach 1)

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

3,313,530 1,656,765 4,970,296 2,485,148 1,242,574 621,287 1,863,862 931,931 2,795,794 1,397,897 4,193,692 2,096,846 1,048,423 3,145,270 1,572,635 4,717,906 2,358,953 7,076,860 3,538,430 1,769,215 5,307,646 2,653,823 7,961,470 3,980,735 11,942,206 5,971,103 17,913,310 8,956,655 26,869,966 13,434,983 40,304,950 20,152,475 60,457,426 30,228,713 90,686,140 45,343,070 22,671,535 68,014,606 34,007,303 102,021,910 51,010,955 153,032,866 76,516,433 229,549,300 114,774,650 57,387,325 172,161,976 86,080,988 43,040,494 21,520,247 64,560,742 32,280,371 96,841,114 48,420,557 145,261,672 72,630,836 36,315,418 18,157,709 54,473,128 27,236,564

Active Feeder Network

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

Feeder #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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