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Atlas › Integer Profiles › Node 3,487,300

3,487,300

22 × 52 × 43 × 811
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5^2 × 43 × 811
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 7,752,976
Proper Divisor Sum 4,265,676
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #3487291 ← → #3487301

Radix Representation

Decimal 3487300
Binary 1101010011011001000100 (22 bits)
Octal 0o15233104
Hexadecimal 0x353644

Divisor Catalog (36)

1 2 4 5 10 20 25 43 50 86 100 172 215 430 811 860 1,075 1,622 2,150 3,244 4,055 4,300 8,110 16,220 20,275 34,873 40,550 69,746 81,100 139,492 174,365 348,730 697,460 871,825 1,743,650 3,487,300

Collatz Trajectory (45 steps to reach 1)

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

3,487,300 1,743,650 871,825 2,615,476 1,307,738 653,869 1,961,608 980,804 490,402 245,201 735,604 367,802 183,901 551,704 275,852 137,926 68,963 206,890 103,445 310,336 155,168 77,584 38,792 19,396 9,698 4,849 14,548 7,274 3,637 10,912 5,456 2,728 1,364 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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