λ
Ratio Atlas
Atlas › Integer Profiles › Node 45,014,697
45,014,697
34 × 7 × 13 × 31 × 197
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^4 × 7 × 13 × 31 × 197
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 85,865,472
Proper Divisor Sum 40,850,775
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #45014677 ← → #45014701

Radix Representation

Decimal 45014697
Binary 10101011101101111010101001 (26 bits)
Octal 0o253557251
Hexadecimal 0x2AEDEA9

Divisor Catalog (60 of 80)

1 3 7 9 13 21 27 31 39 63 81 91 93 117 189 197 217 273 279 351 403 567 591 651 819 837 1,053 1,209 1,379 1,773 1,953 2,457 2,511 2,561 2,821 3,627 4,137 5,319 5,859 6,107 7,371 7,683 8,463 10,881 12,411 15,957 17,577 17,927 18,321 23,049 25,389 32,643 37,233 42,749 53,781 54,963 69,147 76,167 79,391 111,699

Collatz Trajectory (279 steps to reach 1)

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

45,014,697 135,044,092 67,522,046 33,761,023 101,283,070 50,641,535 151,924,606 75,962,303 227,886,910 113,943,455 341,830,366 170,915,183 512,745,550 256,372,775 769,118,326 384,559,163 1,153,677,490 576,838,745 1,730,516,236 865,258,118 432,629,059 1,297,887,178 648,943,589 1,946,830,768 973,415,384 486,707,692 243,353,846 121,676,923 365,030,770 182,515,385 547,546,156 273,773,078 136,886,539 410,659,618 205,329,809 615,989,428 307,994,714 153,997,357 461,992,072 230,996,036 115,498,018 57,749,009 173,247,028 86,623,514 43,311,757 129,935,272 64,967,636 32,483,818 16,241,909 48,725,728 24,362,864 12,181,432 6,090,716 3,045,358 1,522,679 4,568,038 2,284,019 6,852,058 3,426,029 10,278,088

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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