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6,139,952

24 × 7 × 13 × 4217
Abundant Even Composite

6,139,952 factors as 2^4 × 7 × 13 × 4217. Its 40 positive divisors give a proper-divisor sum of 8,504,944, so this integer is abundant. The Collatz stopping time is 196 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 13 × 4217
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 14,644,896
Proper Divisor Sum 8,504,944
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #6139951 ← → #6139961

Radix Representation

Decimal 6139952
Binary 10111011011000000110000 (23 bits)
Octal 0o27330060
Hexadecimal 0x5DB030

Divisor Catalog (40)

1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 728 1,456 4,217 8,434 16,868 29,519 33,736 54,821 59,038 67,472 109,642 118,076 219,284 236,152 383,747 438,568 472,304 767,494 877,136 1,534,988 3,069,976 6,139,952

Collatz Trajectory (196 steps to reach 1)

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

6,139,952 3,069,976 1,534,988 767,494 383,747 1,151,242 575,621 1,726,864 863,432 431,716 215,858 107,929 323,788 161,894 80,947 242,842 121,421 364,264 182,132 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 17,332 8,666 4,333 13,000 6,500

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