2,208,378

2 × 3 × 31² × 383

2,208,378 factors as 2 × 3 × 31^2 × 383. Its 24 positive divisors give a proper-divisor sum of 2,367,366, so this integer is abundant. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 2 × 3 × 31^2 × 383

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 4,575,744

Proper Divisor Sum 2,367,366

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #2208377 ← → #2208397

Radix Representation

Decimal	2208378
Binary	1000011011001001111010 (22 bits)
Octal	0o10331172
Hexadecimal	0x21B27A

Divisor Catalog (24)

1 2 3 6 31 62 93 186 383 766 961 1,149 1,922 2,298 2,883 5,766 11,873 23,746 35,619 71,238 368,063 736,126 1,104,189 2,208,378

Collatz Trajectory (91 steps to reach 1)

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

2,208,378 1,104,189 3,312,568 1,656,284 828,142 414,071 1,242,214 621,107 1,863,322 931,661 2,794,984 1,397,492 698,746 349,373 1,048,120 524,060 262,030 131,015 393,046 196,523 589,570 294,785 884,356 442,178 221,089 663,268 331,634 165,817 497,452 248,726 124,363 373,090 186,545 559,636 279,818 139,909 419,728 209,864 104,932 52,466 26,233 78,700 39,350 19,675 59,026 29,513 88,540 44,270 22,135 66,406 33,203 99,610 49,805 149,416 74,708 37,354 18,677 56,032 28,016 14,008

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