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Atlas › Integer Profiles › Node 2,968,028

2,968,028

22 × 72 × 19 × 797
Abundant Even Composite

2,968,028 factors as 2^2 × 7^2 × 19 × 797. Its 36 positive divisors give a proper-divisor sum of 3,400,012, so this integer is abundant. The Collatz stopping time is 195 steps.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 19 × 797
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 6,368,040
Proper Divisor Sum 3,400,012
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #2968027 ← → #2968037

Radix Representation

Decimal 2968028
Binary 1011010100100111011100 (22 bits)
Octal 0o13244734
Hexadecimal 0x2D49DC

Divisor Catalog (36)

1 2 4 7 14 19 28 38 49 76 98 133 196 266 532 797 931 1,594 1,862 3,188 3,724 5,579 11,158 15,143 22,316 30,286 39,053 60,572 78,106 106,001 156,212 212,002 424,004 742,007 1,484,014 2,968,028

Collatz Trajectory (195 steps to reach 1)

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

2,968,028 1,484,014 742,007 2,226,022 1,113,011 3,339,034 1,669,517 5,008,552 2,504,276 1,252,138 626,069 1,878,208 939,104 469,552 234,776 117,388 58,694 29,347 88,042 44,021 132,064 66,032 33,016 16,508 8,254 4,127 12,382 6,191 18,574 9,287 27,862 13,931 41,794 20,897 62,692 31,346 15,673 47,020 23,510 11,755 35,266 17,633 52,900 26,450 13,225 39,676 19,838 9,919 29,758 14,879 44,638 22,319 66,958 33,479 100,438 50,219 150,658 75,329 225,988 112,994

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