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Atlas › Integer Profiles › Node 5,457,774

5,457,774

2 × 3 × 7 × 199 × 653
Abundant Even Composite

5,457,774 factors as 2 × 3 × 7 × 199 × 653. Its 32 positive divisors give a proper-divisor sum of 7,099,026, so this integer is abundant. The Collatz stopping time is 201 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 199 × 653
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,556,800
Proper Divisor Sum 7,099,026
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #5457773 ← → #5457811

Radix Representation

Decimal 5457774
Binary 10100110100011101101110 (23 bits)
Octal 0o24643556
Hexadecimal 0x53476E

Divisor Catalog (32)

1 2 3 6 7 14 21 42 199 398 597 653 1,194 1,306 1,393 1,959 2,786 3,918 4,179 4,571 8,358 9,142 13,713 27,426 129,947 259,894 389,841 779,682 909,629 1,819,258 2,728,887 5,457,774

Collatz Trajectory (201 steps to reach 1)

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

5,457,774 2,728,887 8,186,662 4,093,331 12,279,994 6,139,997 18,419,992 9,209,996 4,604,998 2,302,499 6,907,498 3,453,749 10,361,248 5,180,624 2,590,312 1,295,156 647,578 323,789 971,368 485,684 242,842 121,421 364,264 182,132 91,066 45,533 136,600 68,300 34,150 17,075 51,226 25,613 76,840 38,420 19,210 9,605 28,816 14,408 7,204 3,602 1,801 5,404 2,702 1,351 4,054 2,027 6,082 3,041 9,124 4,562 2,281 6,844 3,422 1,711 5,134 2,567 7,702 3,851 11,554 5,777

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