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Atlas › Integer Profiles › Node 6,297,956

6,297,956

22 × 7 × 17 × 101 × 131
Abundant Even Composite

6,297,956 factors as 2^2 × 7 × 17 × 101 × 131. Its 48 positive divisors give a proper-divisor sum of 7,273,756, so this integer is abundant. The Collatz stopping time is 271 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 17 × 101 × 131
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 13,571,712
Proper Divisor Sum 7,273,756
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #6297947 ← → #6297961

Radix Representation

Decimal 6297956
Binary 11000000001100101100100 (23 bits)
Octal 0o30014544
Hexadecimal 0x601964

Divisor Catalog (48)

1 2 4 7 14 17 28 34 68 101 119 131 202 238 262 404 476 524 707 917 1,414 1,717 1,834 2,227 2,828 3,434 3,668 4,454 6,868 8,908 12,019 13,231 15,589 24,038 26,462 31,178 48,076 52,924 62,356 92,617 185,234 224,927 370,468 449,854 899,708 1,574,489 3,148,978 6,297,956

Collatz Trajectory (271 steps to reach 1)

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

6,297,956 3,148,978 1,574,489 4,723,468 2,361,734 1,180,867 3,542,602 1,771,301 5,313,904 2,656,952 1,328,476 664,238 332,119 996,358 498,179 1,494,538 747,269 2,241,808 1,120,904 560,452 280,226 140,113 420,340 210,170 105,085 315,256 157,628 78,814 39,407 118,222 59,111 177,334 88,667 266,002 133,001 399,004 199,502 99,751 299,254 149,627 448,882 224,441 673,324 336,662 168,331 504,994 252,497 757,492 378,746 189,373 568,120 284,060 142,030 71,015 213,046 106,523 319,570 159,785 479,356 239,678

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