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Atlas › Integer Profiles › Node 5,599,552

5,599,552

26 × 7 × 29 × 431
Abundant Even Composite

5,599,552 factors as 2^6 × 7 × 29 × 431. Its 56 positive divisors give a proper-divisor sum of 7,567,808, so this integer is abundant. The Collatz stopping time is 51 steps.

Prime Factor Structure

Factorization String 2^6 × 7 × 29 × 431
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 13,167,360
Proper Divisor Sum 7,567,808
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #5599549 ← → #5599567

Radix Representation

Decimal 5599552
Binary 10101010111000101000000 (23 bits)
Octal 0o25270500
Hexadecimal 0x557140

Divisor Catalog (56)

1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 203 224 232 406 431 448 464 812 862 928 1,624 1,724 1,856 3,017 3,248 3,448 6,034 6,496 6,896 12,068 12,499 12,992 13,792 24,136 24,998 27,584 48,272 49,996 87,493 96,544 99,992 174,986 193,088 199,984 349,972 399,968 699,944 799,936 1,399,888 2,799,776 5,599,552

Collatz Trajectory (51 steps to reach 1)

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

5,599,552 2,799,776 1,399,888 699,944 349,972 174,986 87,493 262,480 131,240 65,620 32,810 16,405 49,216 24,608 12,304 6,152 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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