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Atlas › Integer Profiles › Node 5,239,792

5,239,792

24 × 37 × 53 × 167
Abundant Even Composite

5,239,792 factors as 2^4 × 37 × 53 × 167. Its 40 positive divisors give a proper-divisor sum of 5,447,024, so this integer is abundant. The Collatz stopping time is 294 steps.

Prime Factor Structure

Factorization String 2^4 × 37 × 53 × 167
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 10,686,816
Proper Divisor Sum 5,447,024
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #5239789 ← → #5239811

Radix Representation

Decimal 5239792
Binary 10011111111001111110000 (23 bits)
Octal 0o23771760
Hexadecimal 0x4FF3F0

Divisor Catalog (40)

1 2 4 8 16 37 53 74 106 148 167 212 296 334 424 592 668 848 1,336 1,961 2,672 3,922 6,179 7,844 8,851 12,358 15,688 17,702 24,716 31,376 35,404 49,432 70,808 98,864 141,616 327,487 654,974 1,309,948 2,619,896 5,239,792

Collatz Trajectory (294 steps to reach 1)

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

5,239,792 2,619,896 1,309,948 654,974 327,487 982,462 491,231 1,473,694 736,847 2,210,542 1,105,271 3,315,814 1,657,907 4,973,722 2,486,861 7,460,584 3,730,292 1,865,146 932,573 2,797,720 1,398,860 699,430 349,715 1,049,146 524,573 1,573,720 786,860 393,430 196,715 590,146 295,073 885,220 442,610 221,305 663,916 331,958 165,979 497,938 248,969 746,908 373,454 186,727 560,182 280,091 840,274 420,137 1,260,412 630,206 315,103 945,310 472,655 1,417,966 708,983 2,126,950 1,063,475 3,190,426 1,595,213 4,785,640 2,392,820 1,196,410

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