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Atlas › Integer Profiles › Node 10,432,600

10,432,600

23 × 52 × 52163
Abundant Even Composite

10,432,600 factors as 2^3 × 5^2 × 52163. Its 24 positive divisors give a proper-divisor sum of 13,823,660, so this integer is abundant. The Collatz stopping time is 158 steps.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 52163
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 24,256,260
Proper Divisor Sum 13,823,660
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #10432567 ← → #10432613

Radix Representation

Decimal 10432600
Binary 100111110011000001011000 (24 bits)
Octal 0o47630130
Hexadecimal 0x9F3058

Divisor Catalog (24)

1 2 4 5 8 10 20 25 40 50 100 200 52,163 104,326 208,652 260,815 417,304 521,630 1,043,260 1,304,075 2,086,520 2,608,150 5,216,300 10,432,600

Collatz Trajectory (158 steps to reach 1)

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

10,432,600 5,216,300 2,608,150 1,304,075 3,912,226 1,956,113 5,868,340 2,934,170 1,467,085 4,401,256 2,200,628 1,100,314 550,157 1,650,472 825,236 412,618 206,309 618,928 309,464 154,732 77,366 38,683 116,050 58,025 174,076 87,038 43,519 130,558 65,279 195,838 97,919 293,758 146,879 440,638 220,319 660,958 330,479 991,438 495,719 1,487,158 743,579 2,230,738 1,115,369 3,346,108 1,673,054 836,527 2,509,582 1,254,791 3,764,374 1,882,187 5,646,562 2,823,281 8,469,844 4,234,922 2,117,461 6,352,384 3,176,192 1,588,096 794,048 397,024

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