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Atlas › Integer Profiles › Node 5,622,752

5,622,752

25 × 29 × 73 × 83
Abundant Even Composite

5,622,752 factors as 2^5 × 29 × 73 × 83. Its 48 positive divisors give a proper-divisor sum of 6,125,488, so this integer is abundant. The Collatz stopping time is 157 steps.

Prime Factor Structure

Factorization String 2^5 × 29 × 73 × 83
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 11,748,240
Proper Divisor Sum 6,125,488
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #5622731 ← → #5622761

Radix Representation

Decimal 5622752
Binary 10101011100101111100000 (23 bits)
Octal 0o25345740
Hexadecimal 0x55CBE0

Divisor Catalog (48)

1 2 4 8 16 29 32 58 73 83 116 146 166 232 292 332 464 584 664 928 1,168 1,328 2,117 2,336 2,407 2,656 4,234 4,814 6,059 8,468 9,628 12,118 16,936 19,256 24,236 33,872 38,512 48,472 67,744 77,024 96,944 175,711 193,888 351,422 702,844 1,405,688 2,811,376 5,622,752

Collatz Trajectory (157 steps to reach 1)

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

5,622,752 2,811,376 1,405,688 702,844 351,422 175,711 527,134 263,567 790,702 395,351 1,186,054 593,027 1,779,082 889,541 2,668,624 1,334,312 667,156 333,578 166,789 500,368 250,184 125,092 62,546 31,273 93,820 46,910 23,455 70,366 35,183 105,550 52,775 158,326 79,163 237,490 118,745 356,236 178,118 89,059 267,178 133,589 400,768 200,384 100,192 50,096 25,048 12,524 6,262 3,131 9,394 4,697 14,092 7,046 3,523 10,570 5,285 15,856 7,928 3,964 1,982 991

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