2,746,228

2² × 31 × 22147

2,746,228 factors as 2^2 × 31 × 22147. Its 12 positive divisors give a proper-divisor sum of 2,214,924, so this integer is deficient. The Collatz stopping time is 107 steps.

Prime Factor Structure

Factorization String 2^2 × 31 × 22147

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,961,152

Proper Divisor Sum 2,214,924

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #2746217 ← → #2746229

Radix Representation

Decimal	2746228
Binary	1010011110011101110100 (22 bits)
Octal	0o12363564
Hexadecimal	0x29E774

Divisor Catalog (12)

1 2 4 31 62 124 22,147 44,294 88,588 686,557 1,373,114 2,746,228

Collatz Trajectory (107 steps to reach 1)

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

2,746,228 1,373,114 686,557 2,059,672 1,029,836 514,918 257,459 772,378 386,189 1,158,568 579,284 289,642 144,821 434,464 217,232 108,616 54,308 27,154 13,577 40,732 20,366 10,183 30,550 15,275 45,826 22,913 68,740 34,370 17,185 51,556 25,778 12,889 38,668 19,334 9,667 29,002 14,501 43,504 21,752 10,876 5,438 2,719 8,158 4,079 12,238 6,119 18,358 9,179 27,538 13,769 41,308 20,654 10,327 30,982 15,491 46,474 23,237 69,712 34,856 17,428

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