λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,272,018
7,272,018
2 × 35 × 13 × 1151
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^5 × 13 × 1151
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 17,611,776
Proper Divisor Sum 10,339,758
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7272007 ← → #7272049

Radix Representation

Decimal 7272018
Binary 11011101111011001010010 (23 bits)
Octal 0o33573122
Hexadecimal 0x6EF652

Divisor Catalog (48)

1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 243 351 486 702 1,053 1,151 2,106 2,302 3,159 3,453 6,318 6,906 10,359 14,963 20,718 29,926 31,077 44,889 62,154 89,778 93,231 134,667 186,462 269,334 279,693 404,001 559,386 808,002 1,212,003 2,424,006 3,636,009 7,272,018

Collatz Trajectory (222 steps to reach 1)

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

7,272,018 3,636,009 10,908,028 5,454,014 2,727,007 8,181,022 4,090,511 12,271,534 6,135,767 18,407,302 9,203,651 27,610,954 13,805,477 41,416,432 20,708,216 10,354,108 5,177,054 2,588,527 7,765,582 3,882,791 11,648,374 5,824,187 17,472,562 8,736,281 26,208,844 13,104,422 6,552,211 19,656,634 9,828,317 29,484,952 14,742,476 7,371,238 3,685,619 11,056,858 5,528,429 16,585,288 8,292,644 4,146,322 2,073,161 6,219,484 3,109,742 1,554,871 4,664,614 2,332,307 6,996,922 3,498,461 10,495,384 5,247,692 2,623,846 1,311,923 3,935,770 1,967,885 5,903,656 2,951,828 1,475,914 737,957 2,213,872 1,106,936 553,468 276,734

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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