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Atlas › Integer Profiles › Node 52,591,720

52,591,720

23 × 5 × 199 × 6607
Abundant Even Composite

52,591,720 factors as 2^3 × 5 × 199 × 6607. Its 32 positive divisors give a proper-divisor sum of 66,352,280, so this integer is abundant. The Collatz stopping time is 88 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 199 × 6607
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 118,944,000
Proper Divisor Sum 66,352,280
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #52591681 ← → #52591723

Radix Representation

Decimal 52591720
Binary 11001000100111110001101000 (26 bits)
Octal 0o310476150
Hexadecimal 0x3227C68

Divisor Catalog (32)

1 2 4 5 8 10 20 40 199 398 796 995 1,592 1,990 3,980 6,607 7,960 13,214 26,428 33,035 52,856 66,070 132,140 264,280 1,314,793 2,629,586 5,259,172 6,573,965 10,518,344 13,147,930 26,295,860 52,591,720

Collatz Trajectory (88 steps to reach 1)

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

52,591,720 26,295,860 13,147,930 6,573,965 19,721,896 9,860,948 4,930,474 2,465,237 7,395,712 3,697,856 1,848,928 924,464 462,232 231,116 115,558 57,779 173,338 86,669 260,008 130,004 65,002 32,501 97,504 48,752 24,376 12,188 6,094 3,047 9,142 4,571 13,714 6,857 20,572 10,286 5,143 15,430 7,715 23,146 11,573 34,720 17,360 8,680 4,340 2,170 1,085 3,256 1,628 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43

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