λ
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Atlas › Integer Profiles › Node 4,079,640

4,079,640

23 × 3 × 5 × 33997
Abundant Even Composite

4,079,640 factors as 2^3 × 3 × 5 × 33997. Its 32 positive divisors give a proper-divisor sum of 8,159,640, so this integer is abundant. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 33997
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,239,280
Proper Divisor Sum 8,159,640
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4079629 ← → #4079641

Radix Representation

Decimal 4079640
Binary 1111100100000000011000 (22 bits)
Octal 0o17440030
Hexadecimal 0x3E4018

Divisor Catalog (32)

1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 33,997 67,994 101,991 135,988 169,985 203,982 271,976 339,970 407,964 509,955 679,940 815,928 1,019,910 1,359,880 2,039,820 4,079,640

Collatz Trajectory (105 steps to reach 1)

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

4,079,640 2,039,820 1,019,910 509,955 1,529,866 764,933 2,294,800 1,147,400 573,700 286,850 143,425 430,276 215,138 107,569 322,708 161,354 80,677 242,032 121,016 60,508 30,254 15,127 45,382 22,691 68,074 34,037 102,112 51,056 25,528 12,764 6,382 3,191 9,574 4,787 14,362 7,181 21,544 10,772 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516 758 379 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722

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