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Atlas › Integer Profiles › Node 806,932

806,932

22 × 72 × 23 × 179
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 7^2 × 23 × 179
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 1,723,680
Proper Divisor Sum 916,748
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #806929 ← → #806941

Radix Representation

Decimal 806932
Binary 11000101000000010100 (20 bits)
Octal 0o3050024
Hexadecimal 0xC5014

Divisor Catalog (36)

1 2 4 7 14 23 28 46 49 92 98 161 179 196 322 358 644 716 1,127 1,253 2,254 2,506 4,117 4,508 5,012 8,234 8,771 16,468 17,542 28,819 35,084 57,638 115,276 201,733 403,466 806,932

Collatz Trajectory (69 steps to reach 1)

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

806,932 403,466 201,733 605,200 302,600 151,300 75,650 37,825 113,476 56,738 28,369 85,108 42,554 21,277 63,832 31,916 15,958 7,979 23,938 11,969 35,908 17,954 8,977 26,932 13,466 6,733 20,200 10,100 5,050 2,525 7,576 3,788 1,894 947 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26

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