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Atlas › Integer Profiles › Node 2,589,136

2,589,136

24 × 11 × 47 × 313
Abundant Even Composite

2,589,136 factors as 2^4 × 11 × 47 × 313. Its 40 positive divisors give a proper-divisor sum of 3,017,648, so this integer is abundant. The Collatz stopping time is 187 steps.

Prime Factor Structure

Factorization String 2^4 × 11 × 47 × 313
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 5,606,784
Proper Divisor Sum 3,017,648
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #2589131 ← → #2589143

Radix Representation

Decimal 2589136
Binary 1001111000000111010000 (22 bits)
Octal 0o11700720
Hexadecimal 0x2781D0

Divisor Catalog (40)

1 2 4 8 11 16 22 44 47 88 94 176 188 313 376 517 626 752 1,034 1,252 2,068 2,504 3,443 4,136 5,008 6,886 8,272 13,772 14,711 27,544 29,422 55,088 58,844 117,688 161,821 235,376 323,642 647,284 1,294,568 2,589,136

Collatz Trajectory (187 steps to reach 1)

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

2,589,136 1,294,568 647,284 323,642 161,821 485,464 242,732 121,366 60,683 182,050 91,025 273,076 136,538 68,269 204,808 102,404 51,202 25,601 76,804 38,402 19,201 57,604 28,802 14,401 43,204 21,602 10,801 32,404 16,202 8,101 24,304 12,152 6,076 3,038 1,519 4,558 2,279 6,838 3,419 10,258 5,129 15,388 7,694 3,847 11,542 5,771 17,314 8,657 25,972 12,986 6,493 19,480 9,740 4,870 2,435 7,306 3,653 10,960 5,480 2,740

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