λ
Ratio Atlas
Atlas › Integer Profiles › Node 15,002,001
15,002,001
32 × 7 × 19 × 83 × 151
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 7 × 19 × 83 × 151
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 26,557,440
Proper Divisor Sum 11,555,439
Digit Sum / Digital Root 9 (Root: 9)
Adjacent Primes #15001991 ← → #15002017

Radix Representation

Decimal 15002001
Binary 111001001110100110010001 (24 bits)
Octal 0o71164621
Hexadecimal 0xE4E991

Divisor Catalog (48)

1 3 7 9 19 21 57 63 83 133 151 171 249 399 453 581 747 1,057 1,197 1,359 1,577 1,743 2,869 3,171 4,731 5,229 8,607 9,513 11,039 12,533 14,193 20,083 25,821 33,117 37,599 60,249 87,731 99,351 112,797 180,747 238,127 263,193 714,381 789,579 1,666,889 2,143,143 5,000,667 15,002,001

Collatz Trajectory (174 steps to reach 1)

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

15,002,001 45,006,004 22,503,002 11,251,501 33,754,504 16,877,252 8,438,626 4,219,313 12,657,940 6,328,970 3,164,485 9,493,456 4,746,728 2,373,364 1,186,682 593,341 1,780,024 890,012 445,006 222,503 667,510 333,755 1,001,266 500,633 1,501,900 750,950 375,475 1,126,426 563,213 1,689,640 844,820 422,410 211,205 633,616 316,808 158,404 79,202 39,601 118,804 59,402 29,701 89,104 44,552 22,276 11,138 5,569 16,708 8,354 4,177 12,532 6,266 3,133 9,400 4,700 2,350 1,175 3,526 1,763 5,290 2,645

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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