5,201,752

2³ × 41 × 15859

5,201,752 factors as 2^3 × 41 × 15859. Its 16 positive divisors give a proper-divisor sum of 4,790,048, so this integer is deficient. The Collatz stopping time is 188 steps.

Prime Factor Structure

Factorization String 2^3 × 41 × 15859

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,991,800

Proper Divisor Sum 4,790,048

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #5201741 ← → #5201767

Radix Representation

Decimal	5201752
Binary	10011110101111101011000 (23 bits)
Octal	0o23657530
Hexadecimal	0x4F5F58

Divisor Catalog (16)

1 2 4 8 41 82 164 328 15,859 31,718 63,436 126,872 650,219 1,300,438 2,600,876 5,201,752

Collatz Trajectory (188 steps to reach 1)

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

5,201,752 2,600,876 1,300,438 650,219 1,950,658 975,329 2,925,988 1,462,994 731,497 2,194,492 1,097,246 548,623 1,645,870 822,935 2,468,806 1,234,403 3,703,210 1,851,605 5,554,816 2,777,408 1,388,704 694,352 347,176 173,588 86,794 43,397 130,192 65,096 32,548 16,274 8,137 24,412 12,206 6,103 18,310 9,155 27,466 13,733 41,200 20,600 10,300 5,150 2,575 7,726 3,863 11,590 5,795 17,386 8,693 26,080 13,040 6,520 3,260 1,630 815 2,446 1,223 3,670 1,835 5,506

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