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Atlas › Integer Profiles › Node 3,956,280

3,956,280

23 × 3 × 5 × 32969
Abundant Even Composite

3,956,280 factors as 2^3 × 3 × 5 × 32969. Its 32 positive divisors give a proper-divisor sum of 7,912,920, so this integer is abundant. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 32969
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,869,200
Proper Divisor Sum 7,912,920
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3956279 ← → #3956287

Radix Representation

Decimal 3956280
Binary 1111000101111000111000 (22 bits)
Octal 0o17057070
Hexadecimal 0x3C5E38

Divisor Catalog (32)

1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 32,969 65,938 98,907 131,876 164,845 197,814 263,752 329,690 395,628 494,535 659,380 791,256 989,070 1,318,760 1,978,140 3,956,280

Collatz Trajectory (123 steps to reach 1)

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

3,956,280 1,978,140 989,070 494,535 1,483,606 741,803 2,225,410 1,112,705 3,338,116 1,669,058 834,529 2,503,588 1,251,794 625,897 1,877,692 938,846 469,423 1,408,270 704,135 2,112,406 1,056,203 3,168,610 1,584,305 4,752,916 2,376,458 1,188,229 3,564,688 1,782,344 891,172 445,586 222,793 668,380 334,190 167,095 501,286 250,643 751,930 375,965 1,127,896 563,948 281,974 140,987 422,962 211,481 634,444 317,222 158,611 475,834 237,917 713,752 356,876 178,438 89,219 267,658 133,829 401,488 200,744 100,372 50,186 25,093

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