λ
Sigma Notebook

7,365,906

2 × 32 × 409217
Abundant Even Composite

7,365,906 is even and not a perfect square. Its factorization is 2 × 3^2 × 409217 and its 12 divisors sum to 15,959,502.

Prime Factor Structure

Factorization String 2 × 3^2 × 409217
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 15,959,502
Proper Divisor Sum 8,593,596
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7365899 ← → #7365929

Radix Representation

Decimal 7365906
Binary 11100000110010100010010 (23 bits)
Octal 0o34062422
Hexadecimal 0x706512

Divisor Catalog (12)

1 2 3 6 9 18 409,217 818,434 1,227,651 2,455,302 3,682,953 7,365,906

Collatz Trajectory (129 steps to reach 1)

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

7,365,906 3,682,953 11,048,860 5,524,430 2,762,215 8,286,646 4,143,323 12,429,970 6,214,985 18,644,956 9,322,478 4,661,239 13,983,718 6,991,859 20,975,578 10,487,789 31,463,368 15,731,684 7,865,842 3,932,921 11,798,764 5,899,382 2,949,691 8,849,074 4,424,537 13,273,612 6,636,806 3,318,403 9,955,210 4,977,605 14,932,816 7,466,408 3,733,204 1,866,602 933,301 2,799,904 1,399,952 699,976 349,988 174,994 87,497 262,492 131,246 65,623 196,870 98,435 295,306 147,653 442,960 221,480 110,740 55,370 27,685 83,056 41,528 20,764 10,382 5,191 15,574 7,787

More profiles

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