6,912,108

2² × 3³ × 7 × 41 × 223

6,912,108 factors as 2^2 × 3^3 × 7 × 41 × 223. Its 96 positive divisors give a proper-divisor sum of 14,161,812, so this integer is abundant. The Collatz stopping time is 253 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 7 × 41 × 223

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 21,073,920

Proper Divisor Sum 14,161,812

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #6912091 ← → #6912131

Radix Representation

Decimal	6912108
Binary	11010010111100001101100 (23 bits)
Octal	0o32274154
Hexadecimal	0x69786C

Divisor Catalog (60 of 96)

1 2 3 4 6 7 9 12 14 18 21 27 28 36 41 42 54 63 82 84 108 123 126 164 189 223 246 252 287 369 378 446 492 574 669 738 756 861 892 1,107 1,148 1,338 1,476 1,561 1,722 2,007 2,214 2,583 2,676 3,122 3,444 4,014 4,428 4,683 5,166 6,021 6,244 7,749 8,028 9,143

Collatz Trajectory (253 steps to reach 1)

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

6,912,108 3,456,054 1,728,027 5,184,082 2,592,041 7,776,124 3,888,062 1,944,031 5,832,094 2,916,047 8,748,142 4,374,071 13,122,214 6,561,107 19,683,322 9,841,661 29,524,984 14,762,492 7,381,246 3,690,623 11,071,870 5,535,935 16,607,806 8,303,903 24,911,710 12,455,855 37,367,566 18,683,783 56,051,350 28,025,675 84,077,026 42,038,513 126,115,540 63,057,770 31,528,885 94,586,656 47,293,328 23,646,664 11,823,332 5,911,666 2,955,833 8,867,500 4,433,750 2,216,875 6,650,626 3,325,313 9,975,940 4,987,970 2,493,985 7,481,956 3,740,978 1,870,489 5,611,468 2,805,734 1,402,867 4,208,602 2,104,301 6,312,904 3,156,452 1,578,226

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