λ
Sequence Observatory

5,755,986

2 × 32 × 89 × 3593
Abundant Even Composite

Starting at 5,755,986, the Collatz iteration reaches 1 after 245 steps. The first transition is 2877993; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 89 × 3593
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,614,940
Proper Divisor Sum 6,858,954
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #5755973 ← → #5755999

Radix Representation

Decimal 5755986
Binary 10101111101010001010010 (23 bits)
Octal 0o25752122
Hexadecimal 0x57D452

Divisor Catalog (24)

1 2 3 6 9 18 89 178 267 534 801 1,602 3,593 7,186 10,779 21,558 32,337 64,674 319,777 639,554 959,331 1,918,662 2,877,993 5,755,986

Collatz Trajectory (245 steps to reach 1)

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

5,755,986 2,877,993 8,633,980 4,316,990 2,158,495 6,475,486 3,237,743 9,713,230 4,856,615 14,569,846 7,284,923 21,854,770 10,927,385 32,782,156 16,391,078 8,195,539 24,586,618 12,293,309 36,879,928 18,439,964 9,219,982 4,609,991 13,829,974 6,914,987 20,744,962 10,372,481 31,117,444 15,558,722 7,779,361 23,338,084 11,669,042 5,834,521 17,503,564 8,751,782 4,375,891 13,127,674 6,563,837 19,691,512 9,845,756 4,922,878 2,461,439 7,384,318 3,692,159 11,076,478 5,538,239 16,614,718 8,307,359 24,922,078 12,461,039 37,383,118 18,691,559 56,074,678 28,037,339 84,112,018 42,056,009 126,168,028 63,084,014 31,542,007 94,626,022 47,313,011

More profiles

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