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Atlas › Integer Profiles › Node 4,792,128

4,792,128

26 × 3 × 11 × 2269
Abundant Even Composite

4,792,128 factors as 2^6 × 3 × 11 × 2269. Its 56 positive divisors give a proper-divisor sum of 9,045,792, so this integer is abundant. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 2^6 × 3 × 11 × 2269
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 13,837,920
Proper Divisor Sum 9,045,792
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4792127 ← → #4792133

Radix Representation

Decimal 4792128
Binary 10010010001111101000000 (23 bits)
Octal 0o22217500
Hexadecimal 0x491F40

Divisor Catalog (56)

1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1,056 2,112 2,269 4,538 6,807 9,076 13,614 18,152 24,959 27,228 36,304 49,918 54,456 72,608 74,877 99,836 108,912 145,216 149,754 199,672 217,824 299,508 399,344 435,648 599,016 798,688 1,198,032 1,597,376 2,396,064 4,792,128

Collatz Trajectory (92 steps to reach 1)

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

4,792,128 2,396,064 1,198,032 599,016 299,508 149,754 74,877 224,632 112,316 56,158 28,079 84,238 42,119 126,358 63,179 189,538 94,769 284,308 142,154 71,077 213,232 106,616 53,308 26,654 13,327 39,982 19,991 59,974 29,987 89,962 44,981 134,944 67,472 33,736 16,868 8,434 4,217 12,652 6,326 3,163 9,490 4,745 14,236 7,118 3,559 10,678 5,339 16,018 8,009 24,028 12,014 6,007 18,022 9,011 27,034 13,517 40,552 20,276 10,138 5,069

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