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Atlas › Integer Profiles › Node 4,698,176

4,698,176

26 × 7 × 10487
Abundant Even Composite

4,698,176 factors as 2^6 × 7 × 10487. Its 28 positive divisors give a proper-divisor sum of 5,957,632, so this integer is abundant. The Collatz stopping time is 131 steps.

Prime Factor Structure

Factorization String 2^6 × 7 × 10487
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 10,655,808
Proper Divisor Sum 5,957,632
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #4698173 ← → #4698179

Radix Representation

Decimal 4698176
Binary 10001111011000001000000 (23 bits)
Octal 0o21730100
Hexadecimal 0x47B040

Divisor Catalog (28)

1 2 4 7 8 14 16 28 32 56 64 112 224 448 10,487 20,974 41,948 73,409 83,896 146,818 167,792 293,636 335,584 587,272 671,168 1,174,544 2,349,088 4,698,176

Collatz Trajectory (131 steps to reach 1)

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

4,698,176 2,349,088 1,174,544 587,272 293,636 146,818 73,409 220,228 110,114 55,057 165,172 82,586 41,293 123,880 61,940 30,970 15,485 46,456 23,228 11,614 5,807 17,422 8,711 26,134 13,067 39,202 19,601 58,804 29,402 14,701 44,104 22,052 11,026 5,513 16,540 8,270 4,135 12,406 6,203 18,610 9,305 27,916 13,958 6,979 20,938 10,469 31,408 15,704 7,852 3,926 1,963 5,890 2,945 8,836 4,418 2,209 6,628 3,314 1,657 4,972

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