λ
Math Directory

1,319,982

2 × 3 × 17 × 12941
Abundant Even Composite

1,319,982 factors as 2 × 3 × 17 × 12941. Its 16 positive divisors give a proper-divisor sum of 1,475,490, so this integer is abundant. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2 × 3 × 17 × 12941
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,795,472
Proper Divisor Sum 1,475,490
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1319963 ← → #1320019

Radix Representation

Decimal 1319982
Binary 101000010010000101110 (21 bits)
Octal 0o5022056
Hexadecimal 0x14242E

Divisor Catalog (16)

1 2 3 6 17 34 51 102 12,941 25,882 38,823 77,646 219,997 439,994 659,991 1,319,982

Collatz Trajectory (93 steps to reach 1)

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

1,319,982 659,991 1,979,974 989,987 2,969,962 1,484,981 4,454,944 2,227,472 1,113,736 556,868 278,434 139,217 417,652 208,826 104,413 313,240 156,620 78,310 39,155 117,466 58,733 176,200 88,100 44,050 22,025 66,076 33,038 16,519 49,558 24,779 74,338 37,169 111,508 55,754 27,877 83,632 41,816 20,908 10,454 5,227 15,682 7,841 23,524 11,762 5,881 17,644 8,822 4,411 13,234 6,617 19,852 9,926 4,963 14,890 7,445 22,336 11,168 5,584 2,792 1,396

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