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Atlas › Integer Profiles › Node 4,920,144

4,920,144

24 × 3 × 102503
Abundant Even Composite

4,920,144 factors as 2^4 × 3 × 102503. Its 20 positive divisors give a proper-divisor sum of 7,790,352, so this integer is abundant. The Collatz stopping time is 82 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 102503
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 12,710,496
Proper Divisor Sum 7,790,352
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4920109 ← → #4920163

Radix Representation

Decimal 4920144
Binary 10010110001001101010000 (23 bits)
Octal 0o22611520
Hexadecimal 0x4B1350

Divisor Catalog (20)

1 2 3 4 6 8 12 16 24 48 102,503 205,006 307,509 410,012 615,018 820,024 1,230,036 1,640,048 2,460,072 4,920,144

Collatz Trajectory (82 steps to reach 1)

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

4,920,144 2,460,072 1,230,036 615,018 307,509 922,528 461,264 230,632 115,316 57,658 28,829 86,488 43,244 21,622 10,811 32,434 16,217 48,652 24,326 12,163 36,490 18,245 54,736 27,368 13,684 6,842 3,421 10,264 5,132 2,566 1,283 3,850 1,925 5,776 2,888 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148

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