6,961,600

2⁶ × 5² × 19 × 229

6,961,600 factors as 2^6 × 5^2 × 19 × 229. Its 84 positive divisors give a proper-divisor sum of 11,148,600, so this integer is abundant. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 2^6 × 5^2 × 19 × 229

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 84

Divisor Sum (σ) 18,110,200

Proper Divisor Sum 11,148,600

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #6961583 ← → #6961601

Radix Representation

Decimal	6961600
Binary	11010100011100111000000 (23 bits)
Octal	0o32434700
Hexadecimal	0x6A39C0

Divisor Catalog (60 of 84)

1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 152 160 190 200 229 304 320 380 400 458 475 608 760 800 916 950 1,145 1,216 1,520 1,600 1,832 1,900 2,290 3,040 3,664 3,800 4,351 4,580 5,725 6,080 7,328 7,600 8,702 9,160 11,450 14,656 15,200 17,404 18,320 21,755 22,900

Collatz Trajectory (178 steps to reach 1)

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

6,961,600 3,480,800 1,740,400 870,200 435,100 217,550 108,775 326,326 163,163 489,490 244,745 734,236 367,118 183,559 550,678 275,339 826,018 413,009 1,239,028 619,514 309,757 929,272 464,636 232,318 116,159 348,478 174,239 522,718 261,359 784,078 392,039 1,176,118 588,059 1,764,178 882,089 2,646,268 1,323,134 661,567 1,984,702 992,351 2,977,054 1,488,527 4,465,582 2,232,791 6,698,374 3,349,187 10,047,562 5,023,781 15,071,344 7,535,672 3,767,836 1,883,918 941,959 2,825,878 1,412,939 4,238,818 2,119,409 6,358,228 3,179,114 1,589,557

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