λ
Sigma Notebook

7,648,770

2 × 3 × 5 × 254959
Abundant Even Composite

7,648,770 is even and not a perfect square. Its factorization is 2 × 3 × 5 × 254959 and its 16 divisors sum to 18,357,120.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 254959
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 18,357,120
Proper Divisor Sum 10,708,350
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #7648763 ← → #7648777

Radix Representation

Decimal 7648770
Binary 11101001011011000000010 (23 bits)
Octal 0o35133002
Hexadecimal 0x74B602

Divisor Catalog (16)

1 2 3 5 6 10 15 30 254,959 509,918 764,877 1,274,795 1,529,754 2,549,590 3,824,385 7,648,770

Collatz Trajectory (80 steps to reach 1)

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

7,648,770 3,824,385 11,473,156 5,736,578 2,868,289 8,604,868 4,302,434 2,151,217 6,453,652 3,226,826 1,613,413 4,840,240 2,420,120 1,210,060 605,030 302,515 907,546 453,773 1,361,320 680,660 340,330 170,165 510,496 255,248 127,624 63,812 31,906 15,953 47,860 23,930 11,965 35,896 17,948 8,974 4,487 13,462 6,731 20,194 10,097 30,292 15,146 7,573 22,720 11,360 5,680 2,840 1,420 710 355 1,066 533 1,600 800 400 200 100 50 25 76 38

More profiles

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