λ
Sigma Notebook

4,625,232

24 × 3 × 167 × 577
Abundant Even Composite

4,625,232 is even and not a perfect square. Its factorization is 2^4 × 3 × 167 × 577 and its 40 divisors sum to 12,040,896.

Prime Factor Structure

Factorization String 2^4 × 3 × 167 × 577
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 12,040,896
Proper Divisor Sum 7,415,664
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4625221 ← → #4625233

Radix Representation

Decimal 4625232
Binary 10001101001001101010000 (23 bits)
Octal 0o21511520
Hexadecimal 0x469350

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 48 167 334 501 577 668 1,002 1,154 1,336 1,731 2,004 2,308 2,672 3,462 4,008 4,616 6,924 8,016 9,232 13,848 27,696 96,359 192,718 289,077 385,436 578,154 770,872 1,156,308 1,541,744 2,312,616 4,625,232

Collatz Trajectory (56 steps to reach 1)

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

4,625,232 2,312,616 1,156,308 578,154 289,077 867,232 433,616 216,808 108,404 54,202 27,101 81,304 40,652 20,326 10,163 30,490 15,245 45,736 22,868 11,434 5,717 17,152 8,576 4,288 2,144 1,072 536 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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