λ
Ratio Atlas
Atlas › Integer Profiles › Node 6,973,395
6,973,395
3 × 5 × 11 × 13 × 3251
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 11 × 13 × 3251
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,112,064
Proper Divisor Sum 6,138,669
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #6973391 ← → #6973397

Radix Representation

Decimal 6973395
Binary 11010100110011111010011 (23 bits)
Octal 0o32463723
Hexadecimal 0x6A67D3

Divisor Catalog (32)

1 3 5 11 13 15 33 39 55 65 143 165 195 429 715 2,145 3,251 9,753 16,255 35,761 42,263 48,765 107,283 126,789 178,805 211,315 464,893 536,415 633,945 1,394,679 2,324,465 6,973,395

Collatz Trajectory (160 steps to reach 1)

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

6,973,395 20,920,186 10,460,093 31,380,280 15,690,140 7,845,070 3,922,535 11,767,606 5,883,803 17,651,410 8,825,705 26,477,116 13,238,558 6,619,279 19,857,838 9,928,919 29,786,758 14,893,379 44,680,138 22,340,069 67,020,208 33,510,104 16,755,052 8,377,526 4,188,763 12,566,290 6,283,145 18,849,436 9,424,718 4,712,359 14,137,078 7,068,539 21,205,618 10,602,809 31,808,428 15,904,214 7,952,107 23,856,322 11,928,161 35,784,484 17,892,242 8,946,121 26,838,364 13,419,182 6,709,591 20,128,774 10,064,387 30,193,162 15,096,581 45,289,744 22,644,872 11,322,436 5,661,218 2,830,609 8,491,828 4,245,914 2,122,957 6,368,872 3,184,436 1,592,218

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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