2,696,969

11² × 31 × 719

2,696,969 factors as 11^2 × 31 × 719. Its 12 positive divisors give a proper-divisor sum of 367,351, so this integer is deficient. The Collatz stopping time is 86 steps.

Prime Factor Structure

Factorization String 11^2 × 31 × 719

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,064,320

Proper Divisor Sum 367,351

Digit Sum / Digital Root 47 (Root: 2)

Adjacent Primes #2696959 ← → #2696977

Radix Representation

Decimal	2696969
Binary	1010010010011100001001 (22 bits)
Octal	0o12223411
Hexadecimal	0x292709

Divisor Catalog (12)

1 11 31 121 341 719 3,751 7,909 22,289 86,999 245,179 2,696,969

Collatz Trajectory (86 steps to reach 1)

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

2,696,969 8,090,908 4,045,454 2,022,727 6,068,182 3,034,091 9,102,274 4,551,137 13,653,412 6,826,706 3,413,353 10,240,060 5,120,030 2,560,015 7,680,046 3,840,023 11,520,070 5,760,035 17,280,106 8,640,053 25,920,160 12,960,080 6,480,040 3,240,020 1,620,010 810,005 2,430,016 1,215,008 607,504 303,752 151,876 75,938 37,969 113,908 56,954 28,477 85,432 42,716 21,358 10,679 32,038 16,019 48,058 24,029 72,088 36,044 18,022 9,011 27,034 13,517 40,552 20,276 10,138 5,069 15,208 7,604 3,802 1,901 5,704 2,852

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