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6,137,838

2 × 32 × 72 × 6959
Abundant Even Composite

6,137,838 factors as 2 × 3^2 × 7^2 × 6959. Its 36 positive divisors give a proper-divisor sum of 9,334,242, so this integer is abundant. The Collatz stopping time is 196 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 7^2 × 6959
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 15,472,080
Proper Divisor Sum 9,334,242
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6137837 ← → #6137839

Radix Representation

Decimal 6137838
Binary 10111011010011111101110 (23 bits)
Octal 0o27323756
Hexadecimal 0x5DA7EE

Divisor Catalog (36)

1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 6,959 13,918 20,877 41,754 48,713 62,631 97,426 125,262 146,139 292,278 340,991 438,417 681,982 876,834 1,022,973 2,045,946 3,068,919 6,137,838

Collatz Trajectory (196 steps to reach 1)

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

6,137,838 3,068,919 9,206,758 4,603,379 13,810,138 6,905,069 20,715,208 10,357,604 5,178,802 2,589,401 7,768,204 3,884,102 1,942,051 5,826,154 2,913,077 8,739,232 4,369,616 2,184,808 1,092,404 546,202 273,101 819,304 409,652 204,826 102,413 307,240 153,620 76,810 38,405 115,216 57,608 28,804 14,402 7,201 21,604 10,802 5,401 16,204 8,102 4,051 12,154 6,077 18,232 9,116 4,558 2,279 6,838 3,419 10,258 5,129 15,388 7,694 3,847 11,542 5,771 17,314 8,657 25,972 12,986 6,493

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