7,426,120

2³ × 5 × 13 × 14281

7,426,120 is even and not a perfect square. Its factorization is 2^3 × 5 × 13 × 14281 and its 32 divisors sum to 17,995,320.

Prime Factor Structure

Factorization String 2^3 × 5 × 13 × 14281

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 17,995,320

Proper Divisor Sum 10,569,200

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #7426109 ← → #7426129

Radix Representation

Decimal	7426120
Binary	11100010101000001001000 (23 bits)
Octal	0o34250110
Hexadecimal	0x715048

Divisor Catalog (32)

1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 14,281 28,562 57,124 71,405 114,248 142,810 185,653 285,620 371,306 571,240 742,612 928,265 1,485,224 1,856,530 3,713,060 7,426,120

Collatz Trajectory (173 steps to reach 1)

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

7,426,120 3,713,060 1,856,530 928,265 2,784,796 1,392,398 696,199 2,088,598 1,044,299 3,132,898 1,566,449 4,699,348 2,349,674 1,174,837 3,524,512 1,762,256 881,128 440,564 220,282 110,141 330,424 165,212 82,606 41,303 123,910 61,955 185,866 92,933 278,800 139,400 69,700 34,850 17,425 52,276 26,138 13,069 39,208 19,604 9,802 4,901 14,704 7,352 3,676 1,838 919 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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