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Atlas › Integer Profiles › Node 20,006,535

20,006,535

3 × 5 × 17 × 67 × 1171
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 17 × 67 × 1171
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 34,428,672
Proper Divisor Sum 14,422,137
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #20006533 ← → #20006543

Radix Representation

Decimal 20006535
Binary 1001100010100011010000111 (25 bits)
Octal 0o114243207
Hexadecimal 0x1314687

Divisor Catalog (32)

1 3 5 15 17 51 67 85 201 255 335 1,005 1,139 1,171 3,417 3,513 5,695 5,855 17,085 17,565 19,907 59,721 78,457 99,535 235,371 298,605 392,285 1,176,855 1,333,769 4,001,307 6,668,845 20,006,535

Collatz Trajectory (283 steps to reach 1)

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

20,006,535 60,019,606 30,009,803 90,029,410 45,014,705 135,044,116 67,522,058 33,761,029 101,283,088 50,641,544 25,320,772 12,660,386 6,330,193 18,990,580 9,495,290 4,747,645 14,242,936 7,121,468 3,560,734 1,780,367 5,341,102 2,670,551 8,011,654 4,005,827 12,017,482 6,008,741 18,026,224 9,013,112 4,506,556 2,253,278 1,126,639 3,379,918 1,689,959 5,069,878 2,534,939 7,604,818 3,802,409 11,407,228 5,703,614 2,851,807 8,555,422 4,277,711 12,833,134 6,416,567 19,249,702 9,624,851 28,874,554 14,437,277 43,311,832 21,655,916 10,827,958 5,413,979 16,241,938 8,120,969 24,362,908 12,181,454 6,090,727 18,272,182 9,136,091 27,408,274

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