3,451,070

2 × 5 × 7² × 7043

3,451,070 factors as 2 × 5 × 7^2 × 7043. Its 24 positive divisors give a proper-divisor sum of 3,776,074, so this integer is abundant. The Collatz stopping time is 190 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7^2 × 7043

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,227,144

Proper Divisor Sum 3,776,074

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #3451061 ← → #3451073

Radix Representation

Decimal	3451070
Binary	1101001010100010111110 (22 bits)
Octal	0o15124276
Hexadecimal	0x34A8BE

Divisor Catalog (24)

Collatz Trajectory (190 steps to reach 1)

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

3,451,070 1,725,535 5,176,606 2,588,303 7,764,910 3,882,455 11,647,366 5,823,683 17,471,050 8,735,525 26,206,576 13,103,288 6,551,644 3,275,822 1,637,911 4,913,734 2,456,867 7,370,602 3,685,301 11,055,904 5,527,952 2,763,976 1,381,988 690,994 345,497 1,036,492 518,246 259,123 777,370 388,685 1,166,056 583,028 291,514 145,757 437,272 218,636 109,318 54,659 163,978 81,989 245,968 122,984 61,492 30,746 15,373 46,120 23,060 11,530 5,765 17,296 8,648 4,324 2,162 1,081 3,244 1,622 811 2,434 1,217 3,652

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