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Atlas › Integer Profiles › Node 4,045,756

4,045,756

22 × 112 × 13 × 643
Abundant Even Composite

4,045,756 has the prime decomposition 2^2 × 11^2 × 13 × 643. Its 4 distinct prime factors produce 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 11^2 × 13 × 643
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 8,393,896
Proper Divisor Sum 4,348,140
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #4045721 ← → #4045763

Radix Representation

Decimal 4045756
Binary 1111011011101110111100 (22 bits)
Octal 0o17335674
Hexadecimal 0x3DBBBC

Divisor Catalog (36)

1 2 4 11 13 22 26 44 52 121 143 242 286 484 572 643 1,286 1,573 2,572 3,146 6,292 7,073 8,359 14,146 16,718 28,292 33,436 77,803 91,949 155,606 183,898 311,212 367,796 1,011,439 2,022,878 4,045,756

Collatz Trajectory (366 steps to reach 1)

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

4,045,756 2,022,878 1,011,439 3,034,318 1,517,159 4,551,478 2,275,739 6,827,218 3,413,609 10,240,828 5,120,414 2,560,207 7,680,622 3,840,311 11,520,934 5,760,467 17,281,402 8,640,701 25,922,104 12,961,052 6,480,526 3,240,263 9,720,790 4,860,395 14,581,186 7,290,593 21,871,780 10,935,890 5,467,945 16,403,836 8,201,918 4,100,959 12,302,878 6,151,439 18,454,318 9,227,159 27,681,478 13,840,739 41,522,218 20,761,109 62,283,328 31,141,664 15,570,832 7,785,416 3,892,708 1,946,354 973,177 2,919,532 1,459,766 729,883 2,189,650 1,094,825 3,284,476 1,642,238 821,119 2,463,358 1,231,679 3,695,038 1,847,519 5,542,558

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