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Atlas › Integer Profiles › Node 10,750,792

10,750,792

23 × 13 × 167 × 619
Abundant Even Composite

10,750,792 factors as 2^3 × 13 × 167 × 619. Its 32 positive divisors give a proper-divisor sum of 11,122,808, so this integer is abundant. The Collatz stopping time is 140 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 167 × 619
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 21,873,600
Proper Divisor Sum 11,122,808
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #10750787 ← → #10750799

Radix Representation

Decimal 10750792
Binary 101001000000101101001000 (24 bits)
Octal 0o51005510
Hexadecimal 0xA40B48

Divisor Catalog (32)

1 2 4 8 13 26 52 104 167 334 619 668 1,238 1,336 2,171 2,476 4,342 4,952 8,047 8,684 16,094 17,368 32,188 64,376 103,373 206,746 413,492 826,984 1,343,849 2,687,698 5,375,396 10,750,792

Collatz Trajectory (140 steps to reach 1)

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

10,750,792 5,375,396 2,687,698 1,343,849 4,031,548 2,015,774 1,007,887 3,023,662 1,511,831 4,535,494 2,267,747 6,803,242 3,401,621 10,204,864 5,102,432 2,551,216 1,275,608 637,804 318,902 159,451 478,354 239,177 717,532 358,766 179,383 538,150 269,075 807,226 403,613 1,210,840 605,420 302,710 151,355 454,066 227,033 681,100 340,550 170,275 510,826 255,413 766,240 383,120 191,560 95,780 47,890 23,945 71,836 35,918 17,959 53,878 26,939 80,818 40,409 121,228 60,614 30,307 90,922 45,461 136,384 68,192

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