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Atlas › Integer Profiles › Node 5,232,136

5,232,136

23 × 7 × 13 × 7187
Abundant Even Composite

5,232,136 factors as 2^3 × 7 × 13 × 7187. Its 32 positive divisors give a proper-divisor sum of 6,843,704, so this integer is abundant. The Collatz stopping time is 157 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 13 × 7187
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,075,840
Proper Divisor Sum 6,843,704
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #5232131 ← → #5232173

Radix Representation

Decimal 5232136
Binary 10011111101011000001000 (23 bits)
Octal 0o23753010
Hexadecimal 0x4FD608

Divisor Catalog (32)

1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 7,187 14,374 28,748 50,309 57,496 93,431 100,618 186,862 201,236 373,724 402,472 654,017 747,448 1,308,034 2,616,068 5,232,136

Collatz Trajectory (157 steps to reach 1)

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

5,232,136 2,616,068 1,308,034 654,017 1,962,052 981,026 490,513 1,471,540 735,770 367,885 1,103,656 551,828 275,914 137,957 413,872 206,936 103,468 51,734 25,867 77,602 38,801 116,404 58,202 29,101 87,304 43,652 21,826 10,913 32,740 16,370 8,185 24,556 12,278 6,139 18,418 9,209 27,628 13,814 6,907 20,722 10,361 31,084 15,542 7,771 23,314 11,657 34,972 17,486 8,743 26,230 13,115 39,346 19,673 59,020 29,510 14,755 44,266 22,133 66,400 33,200

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