λ
Sigma Notebook

7,549,038

2 × 35 × 72 × 317
Abundant Even Composite

7,549,038 is even and not a perfect square. Its factorization is 2 × 3^5 × 7^2 × 317 and its 72 divisors sum to 19,793,592.

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Prime Factor Structure

Factorization String 2 × 3^5 × 7^2 × 317
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 19,793,592
Proper Divisor Sum 12,244,554
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7549001 ← → #7549039

Radix Representation

Decimal 7549038
Binary 11100110011000001101110 (23 bits)
Octal 0o34630156
Hexadecimal 0x73306E

Divisor Catalog (5 of 72)

1 2 3 6 7

Collatz Trajectory (111 steps to reach 1)

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

Showing the first 5 trajectory entries; the stopping-time total above is unchanged.

7,549,038 3,774,519 11,323,558 5,661,779 16,985,338

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