λ
Ratio Atlas

16,845,676

22 × 67 × 239 × 263
Deficient Even Composite

16,845,676 factors as 2^2 × 67 × 239 × 263. Its 24 positive divisors give a proper-divisor sum of 13,313,684, so this integer is deficient. The Collatz stopping time is 200 steps.

Prime Factor Structure

Factorization String 2^2 × 67 × 239 × 263
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 30,159,360
Proper Divisor Sum 13,313,684
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #16845649 ← → #16845707

Radix Representation

Decimal 16845676
Binary 1000000010000101101101100 (25 bits)
Octal 0o100205554
Hexadecimal 0x1010B6C

Divisor Catalog (24)

1 2 4 67 134 239 263 268 478 526 956 1,052 16,013 17,621 32,026 35,242 62,857 64,052 70,484 125,714 251,428 4,211,419 8,422,838 16,845,676

Collatz Trajectory (200 steps to reach 1)

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

16,845,676 8,422,838 4,211,419 12,634,258 6,317,129 18,951,388 9,475,694 4,737,847 14,213,542 7,106,771 21,320,314 10,660,157 31,980,472 15,990,236 7,995,118 3,997,559 11,992,678 5,996,339 17,989,018 8,994,509 26,983,528 13,491,764 6,745,882 3,372,941 10,118,824 5,059,412 2,529,706 1,264,853 3,794,560 1,897,280 948,640 474,320 237,160 118,580 59,290 29,645 88,936 44,468 22,234 11,117 33,352 16,676 8,338 4,169 12,508 6,254 3,127 9,382 4,691 14,074 7,037 21,112 10,556 5,278 2,639 7,918 3,959 11,878 5,939 17,818

More profiles

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