λ
Ratio Atlas
Atlas › Integer Profiles › Node 54,865,746
54,865,746
2 × 32 × 13 × 37 × 6337
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 13 × 37 × 6337
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 131,500,824
Proper Divisor Sum 76,635,078
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #54865703 ← → #54865751

Radix Representation

Decimal 54865746
Binary 11010001010010111101010010 (26 bits)
Octal 0o321227522
Hexadecimal 0x3452F52

Divisor Catalog (48)

1 2 3 6 9 13 18 26 37 39 74 78 111 117 222 234 333 481 666 962 1,443 2,886 4,329 6,337 8,658 12,674 19,011 38,022 57,033 82,381 114,066 164,762 234,469 247,143 468,938 494,286 703,407 741,429 1,406,814 1,482,858 2,110,221 3,048,097 4,220,442 6,096,194 9,144,291 18,288,582 27,432,873 54,865,746

Collatz Trajectory (225 steps to reach 1)

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

54,865,746 27,432,873 82,298,620 41,149,310 20,574,655 61,723,966 30,861,983 92,585,950 46,292,975 138,878,926 69,439,463 208,318,390 104,159,195 312,477,586 156,238,793 468,716,380 234,358,190 117,179,095 351,537,286 175,768,643 527,305,930 263,652,965 790,958,896 395,479,448 197,739,724 98,869,862 49,434,931 148,304,794 74,152,397 222,457,192 111,228,596 55,614,298 27,807,149 83,421,448 41,710,724 20,855,362 10,427,681 31,283,044 15,641,522 7,820,761 23,462,284 11,731,142 5,865,571 17,596,714 8,798,357 26,395,072 13,197,536 6,598,768 3,299,384 1,649,692 824,846 412,423 1,237,270 618,635 1,855,906 927,953 2,783,860 1,391,930 695,965 2,087,896

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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