λ
Ratio Atlas
Atlas › Integer Profiles › Node 32,087,746
32,087,746
2 × 29 × 47 × 79 × 149
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 29 × 47 × 79 × 149
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 51,840,000
Proper Divisor Sum 19,752,254
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #32087723 ← → #32087749

Radix Representation

Decimal 32087746
Binary 1111010011001111011000010 (25 bits)
Octal 0o172317302
Hexadecimal 0x1E99EC2

Divisor Catalog (32)

1 2 29 47 58 79 94 149 158 298 1,363 2,291 2,726 3,713 4,321 4,582 7,003 7,426 8,642 11,771 14,006 23,542 107,677 203,087 215,354 341,359 406,174 553,237 682,718 1,106,474 16,043,873 32,087,746

Collatz Trajectory (144 steps to reach 1)

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

32,087,746 16,043,873 48,131,620 24,065,810 12,032,905 36,098,716 18,049,358 9,024,679 27,074,038 13,537,019 40,611,058 20,305,529 60,916,588 30,458,294 15,229,147 45,687,442 22,843,721 68,531,164 34,265,582 17,132,791 51,398,374 25,699,187 77,097,562 38,548,781 115,646,344 57,823,172 28,911,586 14,455,793 43,367,380 21,683,690 10,841,845 32,525,536 16,262,768 8,131,384 4,065,692 2,032,846 1,016,423 3,049,270 1,524,635 4,573,906 2,286,953 6,860,860 3,430,430 1,715,215 5,145,646 2,572,823 7,718,470 3,859,235 11,577,706 5,788,853 17,366,560 8,683,280 4,341,640 2,170,820 1,085,410 542,705 1,628,116 814,058 407,029 1,221,088

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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