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Atlas › Integer Profiles › Node 3,974,036

3,974,036

22 × 11 × 181 × 499
Deficient Even Composite

3,974,036 factors as 2^2 × 11 × 181 × 499. Its 24 positive divisors give a proper-divisor sum of 3,669,964, so this integer is deficient. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 181 × 499
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,644,000
Proper Divisor Sum 3,669,964
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3974027 ← → #3974041

Radix Representation

Decimal 3974036
Binary 1111001010001110010100 (22 bits)
Octal 0o17121624
Hexadecimal 0x3CA394

Divisor Catalog (24)

1 2 4 11 22 44 181 362 499 724 998 1,991 1,996 3,982 5,489 7,964 10,978 21,956 90,319 180,638 361,276 993,509 1,987,018 3,974,036

Collatz Trajectory (141 steps to reach 1)

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

3,974,036 1,987,018 993,509 2,980,528 1,490,264 745,132 372,566 186,283 558,850 279,425 838,276 419,138 209,569 628,708 314,354 157,177 471,532 235,766 117,883 353,650 176,825 530,476 265,238 132,619 397,858 198,929 596,788 298,394 149,197 447,592 223,796 111,898 55,949 167,848 83,924 41,962 20,981 62,944 31,472 15,736 7,868 3,934 1,967 5,902 2,951 8,854 4,427 13,282 6,641 19,924 9,962 4,981 14,944 7,472 3,736 1,868 934 467 1,402 701

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