λ
Sequence Observatory

6,753,616

24 × 422101
Deficient Even Composite

Starting at 6,753,616, the Collatz iteration reaches 1 after 134 steps. The first transition is 3376808; the starting value is even with 10 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 422101
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 13,085,162
Proper Divisor Sum 6,331,546
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #6753613 ← → #6753619

Radix Representation

Decimal 6753616
Binary 11001110000110101010000 (23 bits)
Octal 0o31606520
Hexadecimal 0x670D50

Divisor Catalog (10)

1 2 4 8 16 422,101 844,202 1,688,404 3,376,808 6,753,616

Collatz Trajectory (134 steps to reach 1)

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

6,753,616 3,376,808 1,688,404 844,202 422,101 1,266,304 633,152 316,576 158,288 79,144 39,572 19,786 9,893 29,680 14,840 7,420 3,710 1,855 5,566 2,783 8,350 4,175 12,526 6,263 18,790 9,395 28,186 14,093 42,280 21,140 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154

More profiles

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