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Atlas › Integer Profiles › Node 8,200,532

8,200,532

22 × 37 × 67 × 827
Deficient Even Composite

Prime Factor Structure

Factorization String 2^2 × 37 × 67 × 827
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,976,864
Proper Divisor Sum 6,776,332
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #8200529 ← → #8200537

Radix Representation

Decimal 8200532
Binary 11111010010000101010100 (23 bits)
Octal 0o37220524
Hexadecimal 0x7D2154

Divisor Catalog (24)

1 2 4 37 67 74 134 148 268 827 1,654 2,479 3,308 4,958 9,916 30,599 55,409 61,198 110,818 122,396 221,636 2,050,133 4,100,266 8,200,532

Collatz Trajectory (54 steps to reach 1)

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

8,200,532 4,100,266 2,050,133 6,150,400 3,075,200 1,537,600 768,800 384,400 192,200 96,100 48,050 24,025 72,076 36,038 18,019 54,058 27,029 81,088 40,544 20,272 10,136 5,068 2,534 1,267 3,802 1,901 5,704 2,852 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

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