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Atlas › Integer Profiles › Node 4,232,007

4,232,007

34 × 13 × 4019
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^4 × 13 × 4019
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 6,809,880
Proper Divisor Sum 2,577,873
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #4231993 ← → #4232009

Radix Representation

Decimal 4232007
Binary 10000001001001101000111 (23 bits)
Octal 0o20111507
Hexadecimal 0x409347

Divisor Catalog (20)

1 3 9 13 27 39 81 117 351 1,053 4,019 12,057 36,171 52,247 108,513 156,741 325,539 470,223 1,410,669 4,232,007

Collatz Trajectory (128 steps to reach 1)

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

4,232,007 12,696,022 6,348,011 19,044,034 9,522,017 28,566,052 14,283,026 7,141,513 21,424,540 10,712,270 5,356,135 16,068,406 8,034,203 24,102,610 12,051,305 36,153,916 18,076,958 9,038,479 27,115,438 13,557,719 40,673,158 20,336,579 61,009,738 30,504,869 91,514,608 45,757,304 22,878,652 11,439,326 5,719,663 17,158,990 8,579,495 25,738,486 12,869,243 38,607,730 19,303,865 57,911,596 28,955,798 14,477,899 43,433,698 21,716,849 65,150,548 32,575,274 16,287,637 48,862,912 24,431,456 12,215,728 6,107,864 3,053,932 1,526,966 763,483 2,290,450 1,145,225 3,435,676 1,717,838 858,919 2,576,758 1,288,379 3,865,138 1,932,569 5,797,708

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