λ
Math Directory

4,101,996

22 × 3 × 79 × 4327
Abundant Even Composite

4,101,996 factors as 2^2 × 3 × 79 × 4327. Its 24 positive divisors give a proper-divisor sum of 5,592,724, so this integer is abundant. The Collatz stopping time is 79 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 79 × 4327
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,694,720
Proper Divisor Sum 5,592,724
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4101991 ← → #4102037

Radix Representation

Decimal 4101996
Binary 1111101001011101101100 (22 bits)
Octal 0o17513554
Hexadecimal 0x3E976C

Divisor Catalog (24)

1 2 3 4 6 12 79 158 237 316 474 948 4,327 8,654 12,981 17,308 25,962 51,924 341,833 683,666 1,025,499 1,367,332 2,050,998 4,101,996

Collatz Trajectory (79 steps to reach 1)

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

4,101,996 2,050,998 1,025,499 3,076,498 1,538,249 4,614,748 2,307,374 1,153,687 3,461,062 1,730,531 5,191,594 2,595,797 7,787,392 3,893,696 1,946,848 973,424 486,712 243,356 121,678 60,839 182,518 91,259 273,778 136,889 410,668 205,334 102,667 308,002 154,001 462,004 231,002 115,501 346,504 173,252 86,626 43,313 129,940 64,970 32,485 97,456 48,728 24,364 12,182 6,091 18,274 9,137 27,412 13,706 6,853 20,560 10,280 5,140 2,570 1,285 3,856 1,928 964 482 241 724

More profiles

← Previous Integer #4,101,995 Browse Full Index Next Integer #4,101,997 →