7,796,028

2² × 3 × 211 × 3079

7,796,028 factors as 2^2 × 3 × 211 × 3079. Its 24 positive divisors give a proper-divisor sum of 10,486,852, so this integer is abundant. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 211 × 3079

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 18,282,880

Proper Divisor Sum 10,486,852

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #7796021 ← → #7796039

Radix Representation

Decimal	7796028
Binary	11101101111010100111100 (23 bits)
Octal	0o35572474
Hexadecimal	0x76F53C

Divisor Catalog (24)

Collatz Trajectory (124 steps to reach 1)

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

7,796,028 3,898,014 1,949,007 5,847,022 2,923,511 8,770,534 4,385,267 13,155,802 6,577,901 19,733,704 9,866,852 4,933,426 2,466,713 7,400,140 3,700,070 1,850,035 5,550,106 2,775,053 8,325,160 4,162,580 2,081,290 1,040,645 3,121,936 1,560,968 780,484 390,242 195,121 585,364 292,682 146,341 439,024 219,512 109,756 54,878 27,439 82,318 41,159 123,478 61,739 185,218 92,609 277,828 138,914 69,457 208,372 104,186 52,093 156,280 78,140 39,070 19,535 58,606 29,303 87,910 43,955 131,866 65,933 197,800 98,900 49,450

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