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Atlas › Integer Profiles › Node 5,629,520

5,629,520

24 × 5 × 13 × 5413
Abundant Even Composite

5,629,520 factors as 2^4 × 5 × 13 × 5413. Its 40 positive divisors give a proper-divisor sum of 8,468,536, so this integer is abundant. The Collatz stopping time is 77 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 13 × 5413
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 14,098,056
Proper Divisor Sum 8,468,536
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #5629493 ← → #5629553

Radix Representation

Decimal 5629520
Binary 10101011110011001010000 (23 bits)
Octal 0o25363120
Hexadecimal 0x55E650

Divisor Catalog (40)

1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1,040 5,413 10,826 21,652 27,065 43,304 54,130 70,369 86,608 108,260 140,738 216,520 281,476 351,845 433,040 562,952 703,690 1,125,904 1,407,380 2,814,760 5,629,520

Collatz Trajectory (77 steps to reach 1)

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

5,629,520 2,814,760 1,407,380 703,690 351,845 1,055,536 527,768 263,884 131,942 65,971 197,914 98,957 296,872 148,436 74,218 37,109 111,328 55,664 27,832 13,916 6,958 3,479 10,438 5,219 15,658 7,829 23,488 11,744 5,872 2,936 1,468 734 367 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148 74 37 112 56 28

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