λ
Ratio Atlas
Atlas › Integer Profiles › Node 72,801,302
72,801,302
2 × 7 × 23 × 107 × 2113
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 7 × 23 × 107 × 2113
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 131,507,712
Proper Divisor Sum 58,706,410
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #72801301 ← → #72801317

Radix Representation

Decimal 72801302
Binary 100010101101101110000010110 (27 bits)
Octal 0o425556026
Hexadecimal 0x456DC16

Divisor Catalog (32)

1 2 7 14 23 46 107 161 214 322 749 1,498 2,113 2,461 4,226 4,922 14,791 17,227 29,582 34,454 48,599 97,198 226,091 340,193 452,182 680,386 1,582,637 3,165,274 5,200,093 10,400,186 36,400,651 72,801,302

Collatz Trajectory (109 steps to reach 1)

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

72,801,302 36,400,651 109,201,954 54,600,977 163,802,932 81,901,466 40,950,733 122,852,200 61,426,100 30,713,050 15,356,525 46,069,576 23,034,788 11,517,394 5,758,697 17,276,092 8,638,046 4,319,023 12,957,070 6,478,535 19,435,606 9,717,803 29,153,410 14,576,705 43,730,116 21,865,058 10,932,529 32,797,588 16,398,794 8,199,397 24,598,192 12,299,096 6,149,548 3,074,774 1,537,387 4,612,162 2,306,081 6,918,244 3,459,122 1,729,561 5,188,684 2,594,342 1,297,171 3,891,514 1,945,757 5,837,272 2,918,636 1,459,318 729,659 2,188,978 1,094,489 3,283,468 1,641,734 820,867 2,462,602 1,231,301 3,693,904 1,846,952 923,476 461,738

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 #1,448,561 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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