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Atlas › Integer Profiles › Node 4,033,908

4,033,908

22 × 33 × 41 × 911
Abundant Even Composite

4,033,908 factors as 2^2 × 3^3 × 41 × 911. Its 48 positive divisors give a proper-divisor sum of 6,691,212, so this integer is abundant. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 41 × 911
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 10,725,120
Proper Divisor Sum 6,691,212
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4033903 ← → #4033921

Radix Representation

Decimal 4033908
Binary 1111011000110101110100 (22 bits)
Octal 0o17306564
Hexadecimal 0x3D8D74

Divisor Catalog (48)

1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 246 369 492 738 911 1,107 1,476 1,822 2,214 2,733 3,644 4,428 5,466 8,199 10,932 16,398 24,597 32,796 37,351 49,194 74,702 98,388 112,053 149,404 224,106 336,159 448,212 672,318 1,008,477 1,344,636 2,016,954 4,033,908

Collatz Trajectory (92 steps to reach 1)

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

4,033,908 2,016,954 1,008,477 3,025,432 1,512,716 756,358 378,179 1,134,538 567,269 1,701,808 850,904 425,452 212,726 106,363 319,090 159,545 478,636 239,318 119,659 358,978 179,489 538,468 269,234 134,617 403,852 201,926 100,963 302,890 151,445 454,336 227,168 113,584 56,792 28,396 14,198 7,099 21,298 10,649 31,948 15,974 7,987 23,962 11,981 35,944 17,972 8,986 4,493 13,480 6,740 3,370 1,685 5,056 2,528 1,264 632 316 158 79 238 119

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