λ
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Atlas › Integer Profiles › Node 6,074,586

6,074,586

2 × 32 × 7 × 37 × 1303
Abundant Even Composite

6,074,586 factors as 2 × 3^2 × 7 × 37 × 1303. Its 48 positive divisors give a proper-divisor sum of 9,385,638, so this integer is abundant. The Collatz stopping time is 134 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 37 × 1303
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 15,460,224
Proper Divisor Sum 9,385,638
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6074573 ← → #6074587

Radix Representation

Decimal 6074586
Binary 10111001011000011011010 (23 bits)
Octal 0o27130332
Hexadecimal 0x5CB0DA

Divisor Catalog (48)

1 2 3 6 7 9 14 18 21 37 42 63 74 111 126 222 259 333 518 666 777 1,303 1,554 2,331 2,606 3,909 4,662 7,818 9,121 11,727 18,242 23,454 27,363 48,211 54,726 82,089 96,422 144,633 164,178 289,266 337,477 433,899 674,954 867,798 1,012,431 2,024,862 3,037,293 6,074,586

Collatz Trajectory (134 steps to reach 1)

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

6,074,586 3,037,293 9,111,880 4,555,940 2,277,970 1,138,985 3,416,956 1,708,478 854,239 2,562,718 1,281,359 3,844,078 1,922,039 5,766,118 2,883,059 8,649,178 4,324,589 12,973,768 6,486,884 3,243,442 1,621,721 4,865,164 2,432,582 1,216,291 3,648,874 1,824,437 5,473,312 2,736,656 1,368,328 684,164 342,082 171,041 513,124 256,562 128,281 384,844 192,422 96,211 288,634 144,317 432,952 216,476 108,238 54,119 162,358 81,179 243,538 121,769 365,308 182,654 91,327 273,982 136,991 410,974 205,487 616,462 308,231 924,694 462,347 1,387,042

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