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Atlas › Integer Profiles › Node 10,071,852

10,071,852

22 × 3 × 73 × 2447
Abundant Even Composite

10,071,852 factors as 2^2 × 3 × 7^3 × 2447. Its 48 positive divisors give a proper-divisor sum of 17,345,748, so this integer is abundant. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 7^3 × 2447
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 27,417,600
Proper Divisor Sum 17,345,748
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #10071833 ← → #10071857

Radix Representation

Decimal 10071852
Binary 100110011010111100101100 (24 bits)
Octal 0o46327454
Hexadecimal 0x99AF2C

Divisor Catalog (48)

1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 343 588 686 1,029 1,372 2,058 2,447 4,116 4,894 7,341 9,788 14,682 17,129 29,364 34,258 51,387 68,516 102,774 119,903 205,548 239,806 359,709 479,612 719,418 839,321 1,438,836 1,678,642 2,517,963 3,357,284 5,035,926 10,071,852

Collatz Trajectory (114 steps to reach 1)

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

10,071,852 5,035,926 2,517,963 7,553,890 3,776,945 11,330,836 5,665,418 2,832,709 8,498,128 4,249,064 2,124,532 1,062,266 531,133 1,593,400 796,700 398,350 199,175 597,526 298,763 896,290 448,145 1,344,436 672,218 336,109 1,008,328 504,164 252,082 126,041 378,124 189,062 94,531 283,594 141,797 425,392 212,696 106,348 53,174 26,587 79,762 39,881 119,644 59,822 29,911 89,734 44,867 134,602 67,301 201,904 100,952 50,476 25,238 12,619 37,858 18,929 56,788 28,394 14,197 42,592 21,296 10,648

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