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Atlas › Integer Profiles › Node 3,036,348

3,036,348

22 × 32 × 7 × 12049
Abundant Even Composite

3,036,348 factors as 2^2 × 3^2 × 7 × 12049. Its 36 positive divisors give a proper-divisor sum of 5,736,052, so this integer is abundant. The Collatz stopping time is 164 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 12049
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 8,772,400
Proper Divisor Sum 5,736,052
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3036343 ← → #3036349

Radix Representation

Decimal 3036348
Binary 1011100101010010111100 (22 bits)
Octal 0o13452274
Hexadecimal 0x2E54BC

Divisor Catalog (36)

1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 12,049 24,098 36,147 48,196 72,294 84,343 108,441 144,588 168,686 216,882 253,029 337,372 433,764 506,058 759,087 1,012,116 1,518,174 3,036,348

Collatz Trajectory (164 steps to reach 1)

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

3,036,348 1,518,174 759,087 2,277,262 1,138,631 3,415,894 1,707,947 5,123,842 2,561,921 7,685,764 3,842,882 1,921,441 5,764,324 2,882,162 1,441,081 4,323,244 2,161,622 1,080,811 3,242,434 1,621,217 4,863,652 2,431,826 1,215,913 3,647,740 1,823,870 911,935 2,735,806 1,367,903 4,103,710 2,051,855 6,155,566 3,077,783 9,233,350 4,616,675 13,850,026 6,925,013 20,775,040 10,387,520 5,193,760 2,596,880 1,298,440 649,220 324,610 162,305 486,916 243,458 121,729 365,188 182,594 91,297 273,892 136,946 68,473 205,420 102,710 51,355 154,066 77,033 231,100 115,550

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