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Atlas › Integer Profiles › Node 2,976,192

2,976,192

26 × 32 × 5167
Abundant Even Composite

2,976,192 factors as 2^6 × 3^2 × 5167. Its 42 positive divisors give a proper-divisor sum of 5,556,176, so this integer is abundant. The Collatz stopping time is 120 steps.

Prime Factor Structure

Factorization String 2^6 × 3^2 × 5167
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 42
Divisor Sum (σ) 8,532,368
Proper Divisor Sum 5,556,176
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2976187 ← → #2976199

Radix Representation

Decimal 2976192
Binary 1011010110100111000000 (22 bits)
Octal 0o13264700
Hexadecimal 0x2D69C0

Divisor Catalog (42)

1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 5,167 10,334 15,501 20,668 31,002 41,336 46,503 62,004 82,672 93,006 124,008 165,344 186,012 248,016 330,688 372,024 496,032 744,048 992,064 1,488,096 2,976,192

Collatz Trajectory (120 steps to reach 1)

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

2,976,192 1,488,096 744,048 372,024 186,012 93,006 46,503 139,510 69,755 209,266 104,633 313,900 156,950 78,475 235,426 117,713 353,140 176,570 88,285 264,856 132,428 66,214 33,107 99,322 49,661 148,984 74,492 37,246 18,623 55,870 27,935 83,806 41,903 125,710 62,855 188,566 94,283 282,850 141,425 424,276 212,138 106,069 318,208 159,104 79,552 39,776 19,888 9,944 4,972 2,486 1,243 3,730 1,865 5,596 2,798 1,399 4,198 2,099 6,298 3,149

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