2,826,138

2 × 3 × 7 × 67289

2,826,138 factors as 2 × 3 × 7 × 67289. Its 16 positive divisors give a proper-divisor sum of 3,633,702, so this integer is abundant. The Collatz stopping time is 125 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 67289

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,459,840

Proper Divisor Sum 3,633,702

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #2826121 ← → #2826143

Radix Representation

Decimal	2826138
Binary	1010110001111110011010 (22 bits)
Octal	0o12617632
Hexadecimal	0x2B1F9A

Divisor Catalog (16)

1 2 3 6 7 14 21 42 67,289 134,578 201,867 403,734 471,023 942,046 1,413,069 2,826,138

Collatz Trajectory (125 steps to reach 1)

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

2,826,138 1,413,069 4,239,208 2,119,604 1,059,802 529,901 1,589,704 794,852 397,426 198,713 596,140 298,070 149,035 447,106 223,553 670,660 335,330 167,665 502,996 251,498 125,749 377,248 188,624 94,312 47,156 23,578 11,789 35,368 17,684 8,842 4,421 13,264 6,632 3,316 1,658 829 2,488 1,244 622 311 934 467 1,402 701 2,104 1,052 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502

More profiles

Browse other published profiles and their separate link collections.

Profile #8,342,168 Profile #1,146,956 Profile #9,712,347 Profile #6,573,969 Profile #965,653 Profile #4,620,983 Profile #853,259 Profile #1,288,150

← Previous Integer #2,826,137 Browse Full Index Next Integer #2,826,139 →