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Atlas › Integer Profiles › Node 3,047,264

3,047,264

25 × 112 × 787
Abundant Even Composite

3,047,264 factors as 2^5 × 11^2 × 787. Its 36 positive divisors give a proper-divisor sum of 3,555,388, so this integer is abundant. The Collatz stopping time is 81 steps.

Prime Factor Structure

Factorization String 2^5 × 11^2 × 787
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 6,602,652
Proper Divisor Sum 3,555,388
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #3047257 ← → #3047273

Radix Representation

Decimal 3047264
Binary 1011100111111101100000 (22 bits)
Octal 0o13477540
Hexadecimal 0x2E7F60

Divisor Catalog (36)

1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 787 968 1,574 1,936 3,148 3,872 6,296 8,657 12,592 17,314 25,184 34,628 69,256 95,227 138,512 190,454 277,024 380,908 761,816 1,523,632 3,047,264

Collatz Trajectory (81 steps to reach 1)

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

3,047,264 1,523,632 761,816 380,908 190,454 95,227 285,682 142,841 428,524 214,262 107,131 321,394 160,697 482,092 241,046 120,523 361,570 180,785 542,356 271,178 135,589 406,768 203,384 101,692 50,846 25,423 76,270 38,135 114,406 57,203 171,610 85,805 257,416 128,708 64,354 32,177 96,532 48,266 24,133 72,400 36,200 18,100 9,050 4,525 13,576 6,788 3,394 1,697 5,092 2,546 1,273 3,820 1,910 955 2,866 1,433 4,300 2,150 1,075 3,226

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