7,428,465

3² × 5 × 11 × 43 × 349

7,428,465 is odd and not a perfect square. Its factorization is 3^2 × 5 × 11 × 43 × 349 and its 48 divisors sum to 14,414,400.

Prime Factor Structure

Factorization String 3^2 × 5 × 11 × 43 × 349

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 14,414,400

Proper Divisor Sum 6,985,935

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7428461 ← → #7428469

Radix Representation

Decimal	7428465
Binary	11100010101100101110001 (23 bits)
Octal	0o34254561
Hexadecimal	0x715971

Divisor Catalog (48)

1 3 5 9 11 15 33 43 45 55 99 129 165 215 349 387 473 495 645 1,047 1,419 1,745 1,935 2,365 3,141 3,839 4,257 5,235 7,095 11,517 15,007 15,705 19,195 21,285 34,551 45,021 57,585 75,035 135,063 165,077 172,755 225,105 495,231 675,315 825,385 1,485,693 2,476,155 7,428,465

Collatz Trajectory (173 steps to reach 1)

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

7,428,465 22,285,396 11,142,698 5,571,349 16,714,048 8,357,024 4,178,512 2,089,256 1,044,628 522,314 261,157 783,472 391,736 195,868 97,934 48,967 146,902 73,451 220,354 110,177 330,532 165,266 82,633 247,900 123,950 61,975 185,926 92,963 278,890 139,445 418,336 209,168 104,584 52,292 26,146 13,073 39,220 19,610 9,805 29,416 14,708 7,354 3,677 11,032 5,516 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776 388 194 97 292 146 73 220

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