λ
Sigma Notebook

8,472,774

2 × 3 × 397 × 3557
Abundant Even Composite

8,472,774 is even and not a perfect square. Its factorization is 2 × 3 × 397 × 3557 and its 16 divisors sum to 16,993,008.

Prime Factor Structure

Factorization String 2 × 3 × 397 × 3557
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 16,993,008
Proper Divisor Sum 8,520,234
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #8472767 ← → #8472787

Radix Representation

Decimal 8472774
Binary 100000010100100011000110 (24 bits)
Octal 0o40244306
Hexadecimal 0x8148C6

Divisor Catalog (16)

1 2 3 6 397 794 1,191 2,382 3,557 7,114 10,671 21,342 1,412,129 2,824,258 4,236,387 8,472,774

Collatz Trajectory (106 steps to reach 1)

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

8,472,774 4,236,387 12,709,162 6,354,581 19,063,744 9,531,872 4,765,936 2,382,968 1,191,484 595,742 297,871 893,614 446,807 1,340,422 670,211 2,010,634 1,005,317 3,015,952 1,507,976 753,988 376,994 188,497 565,492 282,746 141,373 424,120 212,060 106,030 53,015 159,046 79,523 238,570 119,285 357,856 178,928 89,464 44,732 22,366 11,183 33,550 16,775 50,326 25,163 75,490 37,745 113,236 56,618 28,309 84,928 42,464 21,232 10,616 5,308 2,654 1,327 3,982 1,991 5,974 2,987 8,962

More profiles

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