λ
Prime Ledger

5,577,796

22 × 7 × 199207
Abundant Even Composite

5,577,796 has the prime decomposition 2^2 × 7 × 199207. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 199207
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 11,155,648
Proper Divisor Sum 5,577,852
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #5577769 ← → #5577797

Radix Representation

Decimal 5577796
Binary 10101010001110001000100 (23 bits)
Octal 0o25216104
Hexadecimal 0x551C44

Divisor Catalog (12)

1 2 4 7 14 28 199,207 398,414 796,828 1,394,449 2,788,898 5,577,796

Collatz Trajectory (139 steps to reach 1)

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

5,577,796 2,788,898 1,394,449 4,183,348 2,091,674 1,045,837 3,137,512 1,568,756 784,378 392,189 1,176,568 588,284 294,142 147,071 441,214 220,607 661,822 330,911 992,734 496,367 1,489,102 744,551 2,233,654 1,116,827 3,350,482 1,675,241 5,025,724 2,512,862 1,256,431 3,769,294 1,884,647 5,653,942 2,826,971 8,480,914 4,240,457 12,721,372 6,360,686 3,180,343 9,541,030 4,770,515 14,311,546 7,155,773 21,467,320 10,733,660 5,366,830 2,683,415 8,050,246 4,025,123 12,075,370 6,037,685 18,113,056 9,056,528 4,528,264 2,264,132 1,132,066 566,033 1,698,100 849,050 424,525 1,273,576

More profiles

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