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Atlas › Integer Profiles › Node 4,960,072

4,960,072

23 × 13 × 37 × 1289
Abundant Even Composite

4,960,072 factors as 2^3 × 13 × 37 × 1289. Its 32 positive divisors give a proper-divisor sum of 5,334,128, so this integer is abundant. The Collatz stopping time is 175 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 37 × 1289
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,294,200
Proper Divisor Sum 5,334,128
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4960049 ← → #4960097

Radix Representation

Decimal 4960072
Binary 10010111010111101001000 (23 bits)
Octal 0o22727510
Hexadecimal 0x4BAF48

Divisor Catalog (32)

1 2 4 8 13 26 37 52 74 104 148 296 481 962 1,289 1,924 2,578 3,848 5,156 10,312 16,757 33,514 47,693 67,028 95,386 134,056 190,772 381,544 620,009 1,240,018 2,480,036 4,960,072

Collatz Trajectory (175 steps to reach 1)

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

4,960,072 2,480,036 1,240,018 620,009 1,860,028 930,014 465,007 1,395,022 697,511 2,092,534 1,046,267 3,138,802 1,569,401 4,708,204 2,354,102 1,177,051 3,531,154 1,765,577 5,296,732 2,648,366 1,324,183 3,972,550 1,986,275 5,958,826 2,979,413 8,938,240 4,469,120 2,234,560 1,117,280 558,640 279,320 139,660 69,830 34,915 104,746 52,373 157,120 78,560 39,280 19,640 9,820 4,910 2,455 7,366 3,683 11,050 5,525 16,576 8,288 4,144 2,072 1,036 518 259 778 389 1,168 584 292 146

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