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Atlas › Integer Profiles › Node 52,820,148

52,820,148

22 × 3 × 499 × 8821
Abundant Even Composite

52,820,148 factors as 2^2 × 3 × 499 × 8821. Its 24 positive divisors give a proper-divisor sum of 70,687,852, so this integer is abundant. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 499 × 8821
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 123,508,000
Proper Divisor Sum 70,687,852
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #52820143 ← → #52820149

Radix Representation

Decimal 52820148
Binary 11001001011111100010110100 (26 bits)
Octal 0o311374264
Hexadecimal 0x325F8B4

Divisor Catalog (24)

1 2 3 4 6 12 499 998 1,497 1,996 2,994 5,988 8,821 17,642 26,463 35,284 52,926 105,852 4,401,679 8,803,358 13,205,037 17,606,716 26,410,074 52,820,148

Collatz Trajectory (168 steps to reach 1)

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

52,820,148 26,410,074 13,205,037 39,615,112 19,807,556 9,903,778 4,951,889 14,855,668 7,427,834 3,713,917 11,141,752 5,570,876 2,785,438 1,392,719 4,178,158 2,089,079 6,267,238 3,133,619 9,400,858 4,700,429 14,101,288 7,050,644 3,525,322 1,762,661 5,287,984 2,643,992 1,321,996 660,998 330,499 991,498 495,749 1,487,248 743,624 371,812 185,906 92,953 278,860 139,430 69,715 209,146 104,573 313,720 156,860 78,430 39,215 117,646 58,823 176,470 88,235 264,706 132,353 397,060 198,530 99,265 297,796 148,898 74,449 223,348 111,674 55,837

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