3,658,816

2⁶ × 7 × 8167

3,658,816 factors as 2^6 × 7 × 8167. Its 28 positive divisors give a proper-divisor sum of 4,639,872, so this integer is abundant. The Collatz stopping time is 203 steps.

Prime Factor Structure

Factorization String 2^6 × 7 × 8167

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 28

Divisor Sum (σ) 8,298,688

Proper Divisor Sum 4,639,872

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #3658813 ← → #3658829

Radix Representation

Decimal	3658816
Binary	1101111101010001000000 (22 bits)
Octal	0o15752100
Hexadecimal	0x37D440

Divisor Catalog (28)

Collatz Trajectory (203 steps to reach 1)

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

3,658,816 1,829,408 914,704 457,352 228,676 114,338 57,169 171,508 85,754 42,877 128,632 64,316 32,158 16,079 48,238 24,119 72,358 36,179 108,538 54,269 162,808 81,404 40,702 20,351 61,054 30,527 91,582 45,791 137,374 68,687 206,062 103,031 309,094 154,547 463,642 231,821 695,464 347,732 173,866 86,933 260,800 130,400 65,200 32,600 16,300 8,150 4,075 12,226 6,113 18,340 9,170 4,585 13,756 6,878 3,439 10,318 5,159 15,478 7,739 23,218

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