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Atlas › Integer Profiles › Node 1,618,047

1,618,047

32 × 37 × 43 × 113
Deficient Odd Composite

1,618,047 factors as 3^2 × 37 × 43 × 113. Its 24 positive divisors give a proper-divisor sum of 859,857, so this integer is deficient. The Collatz stopping time is 269 steps.

Prime Factor Structure

Factorization String 3^2 × 37 × 43 × 113
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,477,904
Proper Divisor Sum 859,857
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1618039 ← → #1618049

Radix Representation

Decimal 1618047
Binary 110001011000001111111 (21 bits)
Octal 0o6130177
Hexadecimal 0x18B07F

Divisor Catalog (24)

1 3 9 37 43 111 113 129 333 339 387 1,017 1,591 4,181 4,773 4,859 12,543 14,319 14,577 37,629 43,731 179,783 539,349 1,618,047

Collatz Trajectory (269 steps to reach 1)

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

1,618,047 4,854,142 2,427,071 7,281,214 3,640,607 10,921,822 5,460,911 16,382,734 8,191,367 24,574,102 12,287,051 36,861,154 18,430,577 55,291,732 27,645,866 13,822,933 41,468,800 20,734,400 10,367,200 5,183,600 2,591,800 1,295,900 647,950 323,975 971,926 485,963 1,457,890 728,945 2,186,836 1,093,418 546,709 1,640,128 820,064 410,032 205,016 102,508 51,254 25,627 76,882 38,441 115,324 57,662 28,831 86,494 43,247 129,742 64,871 194,614 97,307 291,922 145,961 437,884 218,942 109,471 328,414 164,207 492,622 246,311 738,934 369,467

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