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Atlas › Integer Profiles › Node 4,770,192

4,770,192

24 × 3 × 7 × 14197
Abundant Even Composite

4,770,192 factors as 2^4 × 3 × 7 × 14197. Its 40 positive divisors give a proper-divisor sum of 9,314,224, so this integer is abundant. The Collatz stopping time is 100 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 7 × 14197
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 14,084,416
Proper Divisor Sum 9,314,224
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4770191 ← → #4770221

Radix Representation

Decimal 4770192
Binary 10010001100100110010000 (23 bits)
Octal 0o22144620
Hexadecimal 0x48C990

Divisor Catalog (40)

1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 14,197 28,394 42,591 56,788 85,182 99,379 113,576 170,364 198,758 227,152 298,137 340,728 397,516 596,274 681,456 795,032 1,192,548 1,590,064 2,385,096 4,770,192

Collatz Trajectory (100 steps to reach 1)

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

4,770,192 2,385,096 1,192,548 596,274 298,137 894,412 447,206 223,603 670,810 335,405 1,006,216 503,108 251,554 125,777 377,332 188,666 94,333 283,000 141,500 70,750 35,375 106,126 53,063 159,190 79,595 238,786 119,393 358,180 179,090 89,545 268,636 134,318 67,159 201,478 100,739 302,218 151,109 453,328 226,664 113,332 56,666 28,333 85,000 42,500 21,250 10,625 31,876 15,938 7,969 23,908 11,954 5,977 17,932 8,966 4,483 13,450 6,725 20,176 10,088 5,044

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