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Atlas › Integer Profiles › Node 16,362,003

16,362,003

3 × 7 × 29 × 67 × 401
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7 × 29 × 67 × 401
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 26,242,560
Proper Divisor Sum 9,880,557
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #16361987 ← → #16362011

Radix Representation

Decimal 16362003
Binary 111110011010101000010011 (24 bits)
Octal 0o76325023
Hexadecimal 0xF9AA13

Divisor Catalog (32)

1 3 7 21 29 67 87 201 203 401 469 609 1,203 1,407 1,943 2,807 5,829 8,421 11,629 13,601 26,867 34,887 40,803 80,601 81,403 188,069 244,209 564,207 779,143 2,337,429 5,454,001 16,362,003

Collatz Trajectory (231 steps to reach 1)

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

16,362,003 49,086,010 24,543,005 73,629,016 36,814,508 18,407,254 9,203,627 27,610,882 13,805,441 41,416,324 20,708,162 10,354,081 31,062,244 15,531,122 7,765,561 23,296,684 11,648,342 5,824,171 17,472,514 8,736,257 26,208,772 13,104,386 6,552,193 19,656,580 9,828,290 4,914,145 14,742,436 7,371,218 3,685,609 11,056,828 5,528,414 2,764,207 8,292,622 4,146,311 12,438,934 6,219,467 18,658,402 9,329,201 27,987,604 13,993,802 6,996,901 20,990,704 10,495,352 5,247,676 2,623,838 1,311,919 3,935,758 1,967,879 5,903,638 2,951,819 8,855,458 4,427,729 13,283,188 6,641,594 3,320,797 9,962,392 4,981,196 2,490,598 1,245,299 3,735,898

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