λ
Ratio Atlas
Atlas › Integer Profiles › Node 20,008,242

20,008,242

2 × 33 × 53 × 6991
Abundant Even Composite

20,008,242 factors as 2 × 3^3 × 53 × 6991. Its 32 positive divisors give a proper-divisor sum of 25,299,918, so this integer is abundant. The Collatz stopping time is 190 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 53 × 6991
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 45,308,160
Proper Divisor Sum 25,299,918
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #20008223 ← → #20008243

Radix Representation

Decimal 20008242
Binary 1001100010100110100110010 (25 bits)
Octal 0o114246462
Hexadecimal 0x1314D32

Divisor Catalog (32)

1 2 3 6 9 18 27 53 54 106 159 318 477 954 1,431 2,862 6,991 13,982 20,973 41,946 62,919 125,838 188,757 370,523 377,514 741,046 1,111,569 2,223,138 3,334,707 6,669,414 10,004,121 20,008,242

Collatz Trajectory (190 steps to reach 1)

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

20,008,242 10,004,121 30,012,364 15,006,182 7,503,091 22,509,274 11,254,637 33,763,912 16,881,956 8,440,978 4,220,489 12,661,468 6,330,734 3,165,367 9,496,102 4,748,051 14,244,154 7,122,077 21,366,232 10,683,116 5,341,558 2,670,779 8,012,338 4,006,169 12,018,508 6,009,254 3,004,627 9,013,882 4,506,941 13,520,824 6,760,412 3,380,206 1,690,103 5,070,310 2,535,155 7,605,466 3,802,733 11,408,200 5,704,100 2,852,050 1,426,025 4,278,076 2,139,038 1,069,519 3,208,558 1,604,279 4,812,838 2,406,419 7,219,258 3,609,629 10,828,888 5,414,444 2,707,222 1,353,611 4,060,834 2,030,417 6,091,252 3,045,626 1,522,813 4,568,440

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #20,008,241 Browse Full Index Next Integer #20,008,243 →