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Atlas › Integer Profiles › Node 6,074,574

6,074,574

2 × 3 × 11 × 31 × 2969
Abundant Even Composite

6,074,574 factors as 2 × 3 × 11 × 31 × 2969. Its 32 positive divisors give a proper-divisor sum of 7,611,186, so this integer is abundant. The Collatz stopping time is 219 steps.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 31 × 2969
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,685,760
Proper Divisor Sum 7,611,186
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6074573 ← → #6074587

Radix Representation

Decimal 6074574
Binary 10111001011000011001110 (23 bits)
Octal 0o27130316
Hexadecimal 0x5CB0CE

Divisor Catalog (32)

1 2 3 6 11 22 31 33 62 66 93 186 341 682 1,023 2,046 2,969 5,938 8,907 17,814 32,659 65,318 92,039 97,977 184,078 195,954 276,117 552,234 1,012,429 2,024,858 3,037,287 6,074,574

Collatz Trajectory (219 steps to reach 1)

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

6,074,574 3,037,287 9,111,862 4,555,931 13,667,794 6,833,897 20,501,692 10,250,846 5,125,423 15,376,270 7,688,135 23,064,406 11,532,203 34,596,610 17,298,305 51,894,916 25,947,458 12,973,729 38,921,188 19,460,594 9,730,297 29,190,892 14,595,446 7,297,723 21,893,170 10,946,585 32,839,756 16,419,878 8,209,939 24,629,818 12,314,909 36,944,728 18,472,364 9,236,182 4,618,091 13,854,274 6,927,137 20,781,412 10,390,706 5,195,353 15,586,060 7,793,030 3,896,515 11,689,546 5,844,773 17,534,320 8,767,160 4,383,580 2,191,790 1,095,895 3,287,686 1,643,843 4,931,530 2,465,765 7,397,296 3,698,648 1,849,324 924,662 462,331 1,386,994

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