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Atlas › Integer Profiles › Node 1,331,920

1,331,920

24 × 5 × 16649
Abundant Even Composite

1,331,920 factors as 2^4 × 5 × 16649. Its 20 positive divisors give a proper-divisor sum of 1,764,980, so this integer is abundant. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 16649
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 3,096,900
Proper Divisor Sum 1,764,980
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #1331857 ← → #1331921

Radix Representation

Decimal 1331920
Binary 101000101001011010000 (21 bits)
Octal 0o5051320
Hexadecimal 0x1452D0

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 16,649 33,298 66,596 83,245 133,192 166,490 266,384 332,980 665,960 1,331,920

Collatz Trajectory (155 steps to reach 1)

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

1,331,920 665,960 332,980 166,490 83,245 249,736 124,868 62,434 31,217 93,652 46,826 23,413 70,240 35,120 17,560 8,780 4,390 2,195 6,586 3,293 9,880 4,940 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161 484 242

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