λ
Math Directory

2,442,982

2 × 19 × 53 × 1213
Deficient Even Composite

2,442,982 factors as 2 × 19 × 53 × 1213. Its 16 positive divisors give a proper-divisor sum of 1,490,378, so this integer is deficient. The Collatz stopping time is 99 steps.

Prime Factor Structure

Factorization String 2 × 19 × 53 × 1213
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,933,360
Proper Divisor Sum 1,490,378
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2442977 ← → #2443027

Radix Representation

Decimal 2442982
Binary 1001010100011011100110 (22 bits)
Octal 0o11243346
Hexadecimal 0x2546E6

Divisor Catalog (16)

1 2 19 38 53 106 1,007 1,213 2,014 2,426 23,047 46,094 64,289 128,578 1,221,491 2,442,982

Collatz Trajectory (99 steps to reach 1)

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

2,442,982 1,221,491 3,664,474 1,832,237 5,496,712 2,748,356 1,374,178 687,089 2,061,268 1,030,634 515,317 1,545,952 772,976 386,488 193,244 96,622 48,311 144,934 72,467 217,402 108,701 326,104 163,052 81,526 40,763 122,290 61,145 183,436 91,718 45,859 137,578 68,789 206,368 103,184 51,592 25,796 12,898 6,449 19,348 9,674 4,837 14,512 7,256 3,628 1,814 907 2,722 1,361 4,084 2,042 1,021 3,064 1,532 766 383 1,150 575 1,726 863 2,590

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