λ
Sigma Notebook

4,304,352

25 × 3 × 13 × 3449
Abundant Even Composite

4,304,352 is even and not a perfect square. Its factorization is 2^5 × 3 × 13 × 3449 and its 48 divisors sum to 12,171,600.

Prime Factor Structure

Factorization String 2^5 × 3 × 13 × 3449
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 12,171,600
Proper Divisor Sum 7,867,248
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #4304347 ← → #4304353

Radix Representation

Decimal 4304352
Binary 10000011010110111100000 (23 bits)
Octal 0o20326740
Hexadecimal 0x41ADE0

Divisor Catalog (48)

1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1,248 3,449 6,898 10,347 13,796 20,694 27,592 41,388 44,837 55,184 82,776 89,674 110,368 134,511 165,552 179,348 269,022 331,104 358,696 538,044 717,392 1,076,088 1,434,784 2,152,176 4,304,352

Collatz Trajectory (74 steps to reach 1)

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

4,304,352 2,152,176 1,076,088 538,044 269,022 134,511 403,534 201,767 605,302 302,651 907,954 453,977 1,361,932 680,966 340,483 1,021,450 510,725 1,532,176 766,088 383,044 191,522 95,761 287,284 143,642 71,821 215,464 107,732 53,866 26,933 80,800 40,400 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

More profiles

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