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Atlas › Integer Profiles › Node 6,136,932

6,136,932

22 × 3 × 17 × 67 × 449
Abundant Even Composite

6,136,932 factors as 2^2 × 3 × 17 × 67 × 449. Its 48 positive divisors give a proper-divisor sum of 9,285,468, so this integer is abundant. The Collatz stopping time is 152 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 17 × 67 × 449
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 15,422,400
Proper Divisor Sum 9,285,468
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #6136927 ← → #6136939

Radix Representation

Decimal 6136932
Binary 10111011010010001100100 (23 bits)
Octal 0o27322144
Hexadecimal 0x5DA464

Divisor Catalog (48)

1 2 3 4 6 12 17 34 51 67 68 102 134 201 204 268 402 449 804 898 1,139 1,347 1,796 2,278 2,694 3,417 4,556 5,388 6,834 7,633 13,668 15,266 22,899 30,083 30,532 45,798 60,166 90,249 91,596 120,332 180,498 360,996 511,411 1,022,822 1,534,233 2,045,644 3,068,466 6,136,932

Collatz Trajectory (152 steps to reach 1)

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

6,136,932 3,068,466 1,534,233 4,602,700 2,301,350 1,150,675 3,452,026 1,726,013 5,178,040 2,589,020 1,294,510 647,255 1,941,766 970,883 2,912,650 1,456,325 4,368,976 2,184,488 1,092,244 546,122 273,061 819,184 409,592 204,796 102,398 51,199 153,598 76,799 230,398 115,199 345,598 172,799 518,398 259,199 777,598 388,799 1,166,398 583,199 1,749,598 874,799 2,624,398 1,312,199 3,936,598 1,968,299 5,904,898 2,952,449 8,857,348 4,428,674 2,214,337 6,643,012 3,321,506 1,660,753 4,982,260 2,491,130 1,245,565 3,736,696 1,868,348 934,174 467,087 1,401,262

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