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Atlas › Integer Profiles › Node 5,201,716

5,201,716

22 × 13 × 167 × 599
Deficient Even Composite

5,201,716 factors as 2^2 × 13 × 167 × 599. Its 24 positive divisors give a proper-divisor sum of 4,676,684, so this integer is deficient. The Collatz stopping time is 188 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 167 × 599
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,878,400
Proper Divisor Sum 4,676,684
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #5201699 ← → #5201717

Radix Representation

Decimal 5201716
Binary 10011110101111100110100 (23 bits)
Octal 0o23657464
Hexadecimal 0x4F5F34

Divisor Catalog (24)

1 2 4 13 26 52 167 334 599 668 1,198 2,171 2,396 4,342 7,787 8,684 15,574 31,148 100,033 200,066 400,132 1,300,429 2,600,858 5,201,716

Collatz Trajectory (188 steps to reach 1)

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

5,201,716 2,600,858 1,300,429 3,901,288 1,950,644 975,322 487,661 1,462,984 731,492 365,746 182,873 548,620 274,310 137,155 411,466 205,733 617,200 308,600 154,300 77,150 38,575 115,726 57,863 173,590 86,795 260,386 130,193 390,580 195,290 97,645 292,936 146,468 73,234 36,617 109,852 54,926 27,463 82,390 41,195 123,586 61,793 185,380 92,690 46,345 139,036 69,518 34,759 104,278 52,139 156,418 78,209 234,628 117,314 58,657 175,972 87,986 43,993 131,980 65,990 32,995

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