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Atlas › Integer Profiles › Node 6,367,136

6,367,136

25 × 23 × 41 × 211
Abundant Even Composite

6,367,136 factors as 2^5 × 23 × 41 × 211. Its 48 positive divisors give a proper-divisor sum of 7,095,712, so this integer is abundant. The Collatz stopping time is 72 steps.

Prime Factor Structure

Factorization String 2^5 × 23 × 41 × 211
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 13,462,848
Proper Divisor Sum 7,095,712
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #6367111 ← → #6367157

Radix Representation

Decimal 6367136
Binary 11000010010011110100000 (23 bits)
Octal 0o30223640
Hexadecimal 0x6127A0

Divisor Catalog (48)

1 2 4 8 16 23 32 41 46 82 92 164 184 211 328 368 422 656 736 844 943 1,312 1,688 1,886 3,376 3,772 4,853 6,752 7,544 8,651 9,706 15,088 17,302 19,412 30,176 34,604 38,824 69,208 77,648 138,416 155,296 198,973 276,832 397,946 795,892 1,591,784 3,183,568 6,367,136

Collatz Trajectory (72 steps to reach 1)

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

6,367,136 3,183,568 1,591,784 795,892 397,946 198,973 596,920 298,460 149,230 74,615 223,846 111,923 335,770 167,885 503,656 251,828 125,914 62,957 188,872 94,436 47,218 23,609 70,828 35,414 17,707 53,122 26,561 79,684 39,842 19,921 59,764 29,882 14,941 44,824 22,412 11,206 5,603 16,810 8,405 25,216 12,608 6,304 3,152 1,576 788 394 197 592 296 148 74 37 112 56 28 14 7 22 11 34

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