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Atlas › Integer Profiles › Node 6,016,938

6,016,938

2 × 3 × 23 × 59 × 739
Abundant Even Composite

6,016,938 factors as 2 × 3 × 23 × 59 × 739. Its 32 positive divisors give a proper-divisor sum of 6,770,262, so this integer is abundant. The Collatz stopping time is 90 steps.

Prime Factor Structure

Factorization String 2 × 3 × 23 × 59 × 739
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,787,200
Proper Divisor Sum 6,770,262
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6016937 ← → #6016957

Radix Representation

Decimal 6016938
Binary 10110111100111110101010 (23 bits)
Octal 0o26747652
Hexadecimal 0x5BCFAA

Divisor Catalog (32)

1 2 3 6 23 46 59 69 118 138 177 354 739 1,357 1,478 2,217 2,714 4,071 4,434 8,142 16,997 33,994 43,601 50,991 87,202 101,982 130,803 261,606 1,002,823 2,005,646 3,008,469 6,016,938

Collatz Trajectory (90 steps to reach 1)

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

6,016,938 3,008,469 9,025,408 4,512,704 2,256,352 1,128,176 564,088 282,044 141,022 70,511 211,534 105,767 317,302 158,651 475,954 237,977 713,932 356,966 178,483 535,450 267,725 803,176 401,588 200,794 100,397 301,192 150,596 75,298 37,649 112,948 56,474 28,237 84,712 42,356 21,178 10,589 31,768 15,884 7,942 3,971 11,914 5,957 17,872 8,936 4,468 2,234 1,117 3,352 1,676 838 419 1,258 629 1,888 944 472 236 118 59 178

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