6,961,692

2² × 3 × 71 × 8171

6,961,692 factors as 2^2 × 3 × 71 × 8171. Its 24 positive divisors give a proper-divisor sum of 9,513,060, so this integer is abundant. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 71 × 8171

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 16,474,752

Proper Divisor Sum 9,513,060

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #6961681 ← → #6961697

Radix Representation

Decimal	6961692
Binary	11010100011101000011100 (23 bits)
Octal	0o32435034
Hexadecimal	0x6A3A1C

Divisor Catalog (24)

1 2 3 4 6 12 71 142 213 284 426 852 8,171 16,342 24,513 32,684 49,026 98,052 580,141 1,160,282 1,740,423 2,320,564 3,480,846 6,961,692

Collatz Trajectory (178 steps to reach 1)

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

6,961,692 3,480,846 1,740,423 5,221,270 2,610,635 7,831,906 3,915,953 11,747,860 5,873,930 2,936,965 8,810,896 4,405,448 2,202,724 1,101,362 550,681 1,652,044 826,022 413,011 1,239,034 619,517 1,858,552 929,276 464,638 232,319 696,958 348,479 1,045,438 522,719 1,568,158 784,079 2,352,238 1,176,119 3,528,358 1,764,179 5,292,538 2,646,269 7,938,808 3,969,404 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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