λ
Ratio Atlas

2,697,697

2697697
Deficient Odd Prime

2,697,697 factors as 2697697. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 112 steps.

Prime Factor Structure

Factorization String 2697697
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,697,698
Proper Divisor Sum 1
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #2697689 ← → #2697701

Radix Representation

Decimal 2697697
Binary 1010010010100111100001 (22 bits)
Octal 0o12224741
Hexadecimal 0x2929E1

Divisor Catalog (2)

Collatz Trajectory (112 steps to reach 1)

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

2,697,697 8,093,092 4,046,546 2,023,273 6,069,820 3,034,910 1,517,455 4,552,366 2,276,183 6,828,550 3,414,275 10,242,826 5,121,413 15,364,240 7,682,120 3,841,060 1,920,530 960,265 2,880,796 1,440,398 720,199 2,160,598 1,080,299 3,240,898 1,620,449 4,861,348 2,430,674 1,215,337 3,646,012 1,823,006 911,503 2,734,510 1,367,255 4,101,766 2,050,883 6,152,650 3,076,325 9,228,976 4,614,488 2,307,244 1,153,622 576,811 1,730,434 865,217 2,595,652 1,297,826 648,913 1,946,740 973,370 486,685 1,460,056 730,028 365,014 182,507 547,522 273,761 821,284 410,642 205,321 615,964

More profiles

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