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Atlas › Integer Profiles › Node 3,246,972

3,246,972

22 × 3 × 37 × 71 × 103
Abundant Even Composite

3,246,972 factors as 2^2 × 3 × 37 × 71 × 103. Its 48 positive divisors give a proper-divisor sum of 4,720,260, so this integer is abundant. The Collatz stopping time is 208 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 37 × 71 × 103
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,967,232
Proper Divisor Sum 4,720,260
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3246941 ← → #3246977

Radix Representation

Decimal 3246972
Binary 1100011000101101111100 (22 bits)
Octal 0o14305574
Hexadecimal 0x318B7C

Divisor Catalog (48)

1 2 3 4 6 12 37 71 74 103 111 142 148 206 213 222 284 309 412 426 444 618 852 1,236 2,627 3,811 5,254 7,313 7,622 7,881 10,508 11,433 14,626 15,244 15,762 21,939 22,866 29,252 31,524 43,878 45,732 87,756 270,581 541,162 811,743 1,082,324 1,623,486 3,246,972

Collatz Trajectory (208 steps to reach 1)

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

3,246,972 1,623,486 811,743 2,435,230 1,217,615 3,652,846 1,826,423 5,479,270 2,739,635 8,218,906 4,109,453 12,328,360 6,164,180 3,082,090 1,541,045 4,623,136 2,311,568 1,155,784 577,892 288,946 144,473 433,420 216,710 108,355 325,066 162,533 487,600 243,800 121,900 60,950 30,475 91,426 45,713 137,140 68,570 34,285 102,856 51,428 25,714 12,857 38,572 19,286 9,643 28,930 14,465 43,396 21,698 10,849 32,548 16,274 8,137 24,412 12,206 6,103 18,310 9,155 27,466 13,733 41,200 20,600

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