λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,346,791
3,346,791
3 × 7 × 31 × 53 × 97
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7 × 31 × 53 × 97
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,419,008
Proper Divisor Sum 2,072,217
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3346781 ← → #3346801

Radix Representation

Decimal 3346791
Binary 1100110001000101100111 (22 bits)
Octal 0o14610547
Hexadecimal 0x331167

Divisor Catalog (32)

1 3 7 21 31 53 93 97 159 217 291 371 651 679 1,113 1,643 2,037 3,007 4,929 5,141 9,021 11,501 15,423 21,049 34,503 35,987 63,147 107,961 159,371 478,113 1,115,597 3,346,791

Collatz Trajectory (159 steps to reach 1)

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

3,346,791 10,040,374 5,020,187 15,060,562 7,530,281 22,590,844 11,295,422 5,647,711 16,943,134 8,471,567 25,414,702 12,707,351 38,122,054 19,061,027 57,183,082 28,591,541 85,774,624 42,887,312 21,443,656 10,721,828 5,360,914 2,680,457 8,041,372 4,020,686 2,010,343 6,031,030 3,015,515 9,046,546 4,523,273 13,569,820 6,784,910 3,392,455 10,177,366 5,088,683 15,266,050 7,633,025 22,899,076 11,449,538 5,724,769 17,174,308 8,587,154 4,293,577 12,880,732 6,440,366 3,220,183 9,660,550 4,830,275 14,490,826 7,245,413 21,736,240 10,868,120 5,434,060 2,717,030 1,358,515 4,075,546 2,037,773 6,113,320 3,056,660 1,528,330 764,165

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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