λ
Sigma Notebook

2,551,416

23 × 3 × 7 × 15187
Abundant Even Composite

2,551,416 is even and not a perfect square. Its factorization is 2^3 × 3 × 7 × 15187 and its 32 divisors sum to 7,290,240.

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 15187
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,290,240
Proper Divisor Sum 4,738,824
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2551403 ← → #2551421

Radix Representation

Decimal 2551416
Binary 1001101110111001111000 (22 bits)
Octal 0o11567170
Hexadecimal 0x26EE78

Divisor Catalog (32)

1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 15,187 30,374 45,561 60,748 91,122 106,309 121,496 182,244 212,618 318,927 364,488 425,236 637,854 850,472 1,275,708 2,551,416

Collatz Trajectory (249 steps to reach 1)

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

2,551,416 1,275,708 637,854 318,927 956,782 478,391 1,435,174 717,587 2,152,762 1,076,381 3,229,144 1,614,572 807,286 403,643 1,210,930 605,465 1,816,396 908,198 454,099 1,362,298 681,149 2,043,448 1,021,724 510,862 255,431 766,294 383,147 1,149,442 574,721 1,724,164 862,082 431,041 1,293,124 646,562 323,281 969,844 484,922 242,461 727,384 363,692 181,846 90,923 272,770 136,385 409,156 204,578 102,289 306,868 153,434 76,717 230,152 115,076 57,538 28,769 86,308 43,154 21,577 64,732 32,366 16,183

More profiles

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