λ
Ratio Atlas

2,712,206

2 × 7 × 23 × 8423
Deficient Even Composite

2,712,206 factors as 2 × 7 × 23 × 8423. Its 16 positive divisors give a proper-divisor sum of 2,140,018, so this integer is deficient. The Collatz stopping time is 262 steps.

Prime Factor Structure

Factorization String 2 × 7 × 23 × 8423
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,852,224
Proper Divisor Sum 2,140,018
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #2712181 ← → #2712223

Radix Representation

Decimal 2712206
Binary 1010010110001010001110 (22 bits)
Octal 0o12261216
Hexadecimal 0x29628E

Divisor Catalog (16)

1 2 7 14 23 46 161 322 8,423 16,846 58,961 117,922 193,729 387,458 1,356,103 2,712,206

Collatz Trajectory (262 steps to reach 1)

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

2,712,206 1,356,103 4,068,310 2,034,155 6,102,466 3,051,233 9,153,700 4,576,850 2,288,425 6,865,276 3,432,638 1,716,319 5,148,958 2,574,479 7,723,438 3,861,719 11,585,158 5,792,579 17,377,738 8,688,869 26,066,608 13,033,304 6,516,652 3,258,326 1,629,163 4,887,490 2,443,745 7,331,236 3,665,618 1,832,809 5,498,428 2,749,214 1,374,607 4,123,822 2,061,911 6,185,734 3,092,867 9,278,602 4,639,301 13,917,904 6,958,952 3,479,476 1,739,738 869,869 2,609,608 1,304,804 652,402 326,201 978,604 489,302 244,651 733,954 366,977 1,100,932 550,466 275,233 825,700 412,850 206,425 619,276

More profiles

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