λ
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Atlas › Integer Profiles › Node 3,429,714

3,429,714

2 × 3 × 23 × 29 × 857
Abundant Even Composite

3,429,714 factors as 2 × 3 × 23 × 29 × 857. Its 32 positive divisors give a proper-divisor sum of 3,983,406, so this integer is abundant. The Collatz stopping time is 252 steps.

Prime Factor Structure

Factorization String 2 × 3 × 23 × 29 × 857
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,413,120
Proper Divisor Sum 3,983,406
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3429703 ← → #3429721

Radix Representation

Decimal 3429714
Binary 1101000101010101010010 (22 bits)
Octal 0o15052522
Hexadecimal 0x345552

Divisor Catalog (32)

1 2 3 6 23 29 46 58 69 87 138 174 667 857 1,334 1,714 2,001 2,571 4,002 5,142 19,711 24,853 39,422 49,706 59,133 74,559 118,266 149,118 571,619 1,143,238 1,714,857 3,429,714

Collatz Trajectory (252 steps to reach 1)

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

3,429,714 1,714,857 5,144,572 2,572,286 1,286,143 3,858,430 1,929,215 5,787,646 2,893,823 8,681,470 4,340,735 13,022,206 6,511,103 19,533,310 9,766,655 29,299,966 14,649,983 43,949,950 21,974,975 65,924,926 32,962,463 98,887,390 49,443,695 148,331,086 74,165,543 222,496,630 111,248,315 333,744,946 166,872,473 500,617,420 250,308,710 125,154,355 375,463,066 187,731,533 563,194,600 281,597,300 140,798,650 70,399,325 211,197,976 105,598,988 52,799,494 26,399,747 79,199,242 39,599,621 118,798,864 59,399,432 29,699,716 14,849,858 7,424,929 22,274,788 11,137,394 5,568,697 16,706,092 8,353,046 4,176,523 12,529,570 6,264,785 18,794,356 9,397,178 4,698,589

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