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Atlas › Integer Profiles › Node 7,928,076

7,928,076

22 × 3 × 13 × 50821
Abundant Even Composite

7,928,076 factors as 2^2 × 3 × 13 × 50821. Its 24 positive divisors give a proper-divisor sum of 11,994,148, so this integer is abundant. The Collatz stopping time is 217 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 50821
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 19,922,224
Proper Divisor Sum 11,994,148
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #7928059 ← → #7928083

Radix Representation

Decimal 7928076
Binary 11110001111100100001100 (23 bits)
Octal 0o36174414
Hexadecimal 0x78F90C

Divisor Catalog (24)

1 2 3 4 6 12 13 26 39 52 78 156 50,821 101,642 152,463 203,284 304,926 609,852 660,673 1,321,346 1,982,019 2,642,692 3,964,038 7,928,076

Collatz Trajectory (217 steps to reach 1)

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

7,928,076 3,964,038 1,982,019 5,946,058 2,973,029 8,919,088 4,459,544 2,229,772 1,114,886 557,443 1,672,330 836,165 2,508,496 1,254,248 627,124 313,562 156,781 470,344 235,172 117,586 58,793 176,380 88,190 44,095 132,286 66,143 198,430 99,215 297,646 148,823 446,470 223,235 669,706 334,853 1,004,560 502,280 251,140 125,570 62,785 188,356 94,178 47,089 141,268 70,634 35,317 105,952 52,976 26,488 13,244 6,622 3,311 9,934 4,967 14,902 7,451 22,354 11,177 33,532 16,766 8,383

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