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Atlas › Integer Profiles › Node 4,010,248

4,010,248

23 × 11 × 199 × 229
Abundant Even Composite

4,010,248 factors as 2^3 × 11 × 199 × 229. Its 32 positive divisors give a proper-divisor sum of 4,269,752, so this integer is abundant. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 199 × 229
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,280,000
Proper Divisor Sum 4,269,752
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #4010231 ← → #4010261

Radix Representation

Decimal 4010248
Binary 1111010011000100001000 (22 bits)
Octal 0o17230410
Hexadecimal 0x3D3108

Divisor Catalog (32)

1 2 4 8 11 22 44 88 199 229 398 458 796 916 1,592 1,832 2,189 2,519 4,378 5,038 8,756 10,076 17,512 20,152 45,571 91,142 182,284 364,568 501,281 1,002,562 2,005,124 4,010,248

Collatz Trajectory (92 steps to reach 1)

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

4,010,248 2,005,124 1,002,562 501,281 1,503,844 751,922 375,961 1,127,884 563,942 281,971 845,914 422,957 1,268,872 634,436 317,218 158,609 475,828 237,914 118,957 356,872 178,436 89,218 44,609 133,828 66,914 33,457 100,372 50,186 25,093 75,280 37,640 18,820 9,410 4,705 14,116 7,058 3,529 10,588 5,294 2,647 7,942 3,971 11,914 5,957 17,872 8,936 4,468 2,234 1,117 3,352 1,676 838 419 1,258 629 1,888 944 472 236 118

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