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Atlas › Integer Profiles › Node 3,202,983

3,202,983

35 × 72 × 269
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^5 × 7^2 × 269
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 5,601,960
Proper Divisor Sum 2,398,977
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3202967 ← → #3202993

Radix Representation

Decimal 3202983
Binary 1100001101111110100111 (22 bits)
Octal 0o14157647
Hexadecimal 0x30DFA7

Divisor Catalog (36)

1 3 7 9 21 27 49 63 81 147 189 243 269 441 567 807 1,323 1,701 1,883 2,421 3,969 5,649 7,263 11,907 13,181 16,947 21,789 39,543 50,841 65,367 118,629 152,523 355,887 457,569 1,067,661 3,202,983

Collatz Trajectory (208 steps to reach 1)

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

3,202,983 9,608,950 4,804,475 14,413,426 7,206,713 21,620,140 10,810,070 5,405,035 16,215,106 8,107,553 24,322,660 12,161,330 6,080,665 18,241,996 9,120,998 4,560,499 13,681,498 6,840,749 20,522,248 10,261,124 5,130,562 2,565,281 7,695,844 3,847,922 1,923,961 5,771,884 2,885,942 1,442,971 4,328,914 2,164,457 6,493,372 3,246,686 1,623,343 4,870,030 2,435,015 7,305,046 3,652,523 10,957,570 5,478,785 16,436,356 8,218,178 4,109,089 12,327,268 6,163,634 3,081,817 9,245,452 4,622,726 2,311,363 6,934,090 3,467,045 10,401,136 5,200,568 2,600,284 1,300,142 650,071 1,950,214 975,107 2,925,322 1,462,661 4,387,984

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