20,002,131

3² × 421 × 5279

20,002,131 factors as 3^2 × 421 × 5279. Its 12 positive divisors give a proper-divisor sum of 8,963,949, so this integer is deficient. The Collatz stopping time is 345 steps.

Prime Factor Structure

Factorization String 3^2 × 421 × 5279

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 28,966,080

Proper Divisor Sum 8,963,949

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #20002123 ← → #20002133

Radix Representation

Decimal	20002131
Binary	1001100010011010101010011 (25 bits)
Octal	0o114232523
Hexadecimal	0x1313553

Divisor Catalog (12)

1 3 9 421 1,263 3,789 5,279 15,837 47,511 2,222,459 6,667,377 20,002,131

Collatz Trajectory (345 steps to reach 1)

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

20,002,131 60,006,394 30,003,197 90,009,592 45,004,796 22,502,398 11,251,199 33,753,598 16,876,799 50,630,398 25,315,199 75,945,598 37,972,799 113,918,398 56,959,199 170,877,598 85,438,799 256,316,398 128,158,199 384,474,598 192,237,299 576,711,898 288,355,949 865,067,848 432,533,924 216,266,962 108,133,481 324,400,444 162,200,222 81,100,111 243,300,334 121,650,167 364,950,502 182,475,251 547,425,754 273,712,877 821,138,632 410,569,316 205,284,658 102,642,329 307,926,988 153,963,494 76,981,747 230,945,242 115,472,621 346,417,864 173,208,932 86,604,466 43,302,233 129,906,700 64,953,350 32,476,675 97,430,026 48,715,013 146,145,040 73,072,520 36,536,260 18,268,130 9,134,065 27,402,196

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #20,002,130 Browse Full Index Next Integer #20,002,132 →