λ
Harmonic Matrix

7,052,874

2 × 3 × 1175479
Abundant Even Composite

7,052,874 has digital root 6. The neighboring primes are 7052873 and 7052891; its proper-divisor sum differs from the starting integer by 12.

Prime Factor Structure

Factorization String 2 × 3 × 1175479
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 14,105,760
Proper Divisor Sum 7,052,886
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #7052873 ← → #7052891

Radix Representation

Decimal 7052874
Binary 11010111001111001001010 (23 bits)
Octal 0o32717112
Hexadecimal 0x6B9E4A

Divisor Catalog (8)

1 2 3 6 1,175,479 2,350,958 3,526,437 7,052,874

Collatz Trajectory (129 steps to reach 1)

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

7,052,874 3,526,437 10,579,312 5,289,656 2,644,828 1,322,414 661,207 1,983,622 991,811 2,975,434 1,487,717 4,463,152 2,231,576 1,115,788 557,894 278,947 836,842 418,421 1,255,264 627,632 313,816 156,908 78,454 39,227 117,682 58,841 176,524 88,262 44,131 132,394 66,197 198,592 99,296 49,648 24,824 12,412 6,206 3,103 9,310 4,655 13,966 6,983 20,950 10,475 31,426 15,713 47,140 23,570 11,785 35,356 17,678 8,839 26,518 13,259 39,778 19,889 59,668 29,834 14,917 44,752

More profiles

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