λ
Sigma Notebook

4,756,662

2 × 32 × 401 × 659
Abundant Even Composite

4,756,662 is even and not a perfect square. Its factorization is 2 × 3^2 × 401 × 659 and its 24 divisors sum to 10,347,480.

Prime Factor Structure

Factorization String 2 × 3^2 × 401 × 659
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 10,347,480
Proper Divisor Sum 5,590,818
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4756657 ← → #4756663

Radix Representation

Decimal 4756662
Binary 10010001001010010110110 (23 bits)
Octal 0o22112266
Hexadecimal 0x4894B6

Divisor Catalog (24)

1 2 3 6 9 18 401 659 802 1,203 1,318 1,977 2,406 3,609 3,954 5,931 7,218 11,862 264,259 528,518 792,777 1,585,554 2,378,331 4,756,662

Collatz Trajectory (175 steps to reach 1)

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

4,756,662 2,378,331 7,134,994 3,567,497 10,702,492 5,351,246 2,675,623 8,026,870 4,013,435 12,040,306 6,020,153 18,060,460 9,030,230 4,515,115 13,545,346 6,772,673 20,318,020 10,159,010 5,079,505 15,238,516 7,619,258 3,809,629 11,428,888 5,714,444 2,857,222 1,428,611 4,285,834 2,142,917 6,428,752 3,214,376 1,607,188 803,594 401,797 1,205,392 602,696 301,348 150,674 75,337 226,012 113,006 56,503 169,510 84,755 254,266 127,133 381,400 190,700 95,350 47,675 143,026 71,513 214,540 107,270 53,635 160,906 80,453 241,360 120,680 60,340 30,170

More profiles

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