λ
Sigma Notebook

7,235,098

2 × 13 × 17 × 16369
Deficient Even Composite

7,235,098 is even and not a perfect square. Its factorization is 2 × 13 × 17 × 16369 and its 16 divisors sum to 12,375,720.

Prime Factor Structure

Factorization String 2 × 13 × 17 × 16369
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,375,720
Proper Divisor Sum 5,140,622
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7235071 ← → #7235101

Radix Representation

Decimal 7235098
Binary 11011100110011000011010 (23 bits)
Octal 0o33463032
Hexadecimal 0x6E661A

Divisor Catalog (16)

1 2 13 17 26 34 221 442 16,369 32,738 212,797 278,273 425,594 556,546 3,617,549 7,235,098

Collatz Trajectory (98 steps to reach 1)

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

7,235,098 3,617,549 10,852,648 5,426,324 2,713,162 1,356,581 4,069,744 2,034,872 1,017,436 508,718 254,359 763,078 381,539 1,144,618 572,309 1,716,928 858,464 429,232 214,616 107,308 53,654 26,827 80,482 40,241 120,724 60,362 30,181 90,544 45,272 22,636 11,318 5,659 16,978 8,489 25,468 12,734 6,367 19,102 9,551 28,654 14,327 42,982 21,491 64,474 32,237 96,712 48,356 24,178 12,089 36,268 18,134 9,067 27,202 13,601 40,804 20,402 10,201 30,604 15,302 7,651

More profiles

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