λ
Integer Codex

4,247,832

23 × 3 × 379 × 467
Abundant Even Composite

For 4,247,832, the 32 positive divisors have a total of 10,670,400. Removing 4,247,832 leaves 6,422,568, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 3 × 379 × 467
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,670,400
Proper Divisor Sum 6,422,568
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4247827 ← → #4247863

Radix Representation

Decimal 4247832
Binary 10000001101000100011000 (23 bits)
Octal 0o20150430
Hexadecimal 0x40D118

Divisor Catalog (32)

1 2 3 4 6 8 12 24 379 467 758 934 1,137 1,401 1,516 1,868 2,274 2,802 3,032 3,736 4,548 5,604 9,096 11,208 176,993 353,986 530,979 707,972 1,061,958 1,415,944 2,123,916 4,247,832

Collatz Trajectory (167 steps to reach 1)

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

4,247,832 2,123,916 1,061,958 530,979 1,592,938 796,469 2,389,408 1,194,704 597,352 298,676 149,338 74,669 224,008 112,004 56,002 28,001 84,004 42,002 21,001 63,004 31,502 15,751 47,254 23,627 70,882 35,441 106,324 53,162 26,581 79,744 39,872 19,936 9,968 4,984 2,492 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125

More profiles

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