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Atlas › Integer Profiles › Node 4,831,400

4,831,400

23 × 52 × 72 × 17 × 29
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5^2 × 7^2 × 17 × 29
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 144
Divisor Sum (σ) 14,312,700
Proper Divisor Sum 9,481,300
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #4831391 ← → #4831441

Radix Representation

Decimal 4831400
Binary 10010011011100010101000 (23 bits)
Octal 0o22334250
Hexadecimal 0x49B8A8

Divisor Catalog (60 of 144)

1 2 4 5 7 8 10 14 17 20 25 28 29 34 35 40 49 50 56 58 68 70 85 98 100 116 119 136 140 145 170 175 196 200 203 232 238 245 280 290 340 350 392 406 425 476 490 493 580 595 680 700 725 812 833 850 952 980 986 1,015

Collatz Trajectory (69 steps to reach 1)

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

4,831,400 2,415,700 1,207,850 603,925 1,811,776 905,888 452,944 226,472 113,236 56,618 28,309 84,928 42,464 21,232 10,616 5,308 2,654 1,327 3,982 1,991 5,974 2,987 8,962 4,481 13,444 6,722 3,361 10,084 5,042 2,521 7,564 3,782 1,891 5,674 2,837 8,512 4,256 2,128 1,064 532 266 133 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26

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