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Atlas › Integer Profiles › Node 1,162,518

1,162,518

2 × 3 × 7 × 89 × 311
Abundant Even Composite

1,162,518 factors as 2 × 3 × 7 × 89 × 311. Its 32 positive divisors give a proper-divisor sum of 1,533,162, so this integer is abundant. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 89 × 311
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 2,695,680
Proper Divisor Sum 1,533,162
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1162507 ← → #1162529

Radix Representation

Decimal 1162518
Binary 100011011110100010110 (21 bits)
Octal 0o4336426
Hexadecimal 0x11BD16

Divisor Catalog (32)

1 2 3 6 7 14 21 42 89 178 267 311 534 622 623 933 1,246 1,866 1,869 2,177 3,738 4,354 6,531 13,062 27,679 55,358 83,037 166,074 193,753 387,506 581,259 1,162,518

Collatz Trajectory (191 steps to reach 1)

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

1,162,518 581,259 1,743,778 871,889 2,615,668 1,307,834 653,917 1,961,752 980,876 490,438 245,219 735,658 367,829 1,103,488 551,744 275,872 137,936 68,968 34,484 17,242 8,621 25,864 12,932 6,466 3,233 9,700 4,850 2,425 7,276 3,638 1,819 5,458 2,729 8,188 4,094 2,047 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367 31,102 15,551 46,654 23,327 69,982 34,991 104,974 52,487 157,462 78,731 236,194 118,097 354,292 177,146 88,573 265,720

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