λ
Sequence Observatory

6,513,747

3 × 2171249
Deficient Odd Composite

Starting at 6,513,747, the Collatz iteration reaches 1 after 178 steps. The first transition is 19541242; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 3 × 2171249
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,685,000
Proper Divisor Sum 2,171,253
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6513743 ← → #6513779

Radix Representation

Decimal 6513747
Binary 11000110110010001010011 (23 bits)
Octal 0o30662123
Hexadecimal 0x636453

Divisor Catalog (4)

1 3 2,171,249 6,513,747

Collatz Trajectory (178 steps to reach 1)

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

6,513,747 19,541,242 9,770,621 29,311,864 14,655,932 7,327,966 3,663,983 10,991,950 5,495,975 16,487,926 8,243,963 24,731,890 12,365,945 37,097,836 18,548,918 9,274,459 27,823,378 13,911,689 41,735,068 20,867,534 10,433,767 31,301,302 15,650,651 46,951,954 23,475,977 70,427,932 35,213,966 17,606,983 52,820,950 26,410,475 79,231,426 39,615,713 118,847,140 59,423,570 29,711,785 89,135,356 44,567,678 22,283,839 66,851,518 33,425,759 100,277,278 50,138,639 150,415,918 75,207,959 225,623,878 112,811,939 338,435,818 169,217,909 507,653,728 253,826,864 126,913,432 63,456,716 31,728,358 15,864,179 47,592,538 23,796,269 71,388,808 35,694,404 17,847,202 8,923,601

More profiles

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