λ
Sequence Observatory

6,748,316

22 × 373 × 4523
Deficient Even Composite

Starting at 6,748,316, the Collatz iteration reaches 1 after 134 steps. The first transition is 3374158; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 373 × 4523
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 11,843,832
Proper Divisor Sum 5,095,516
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #6748309 ← → #6748321

Radix Representation

Decimal 6748316
Binary 11001101111100010011100 (23 bits)
Octal 0o31574234
Hexadecimal 0x66F89C

Divisor Catalog (12)

1 2 4 373 746 1,492 4,523 9,046 18,092 1,687,079 3,374,158 6,748,316

Collatz Trajectory (134 steps to reach 1)

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

6,748,316 3,374,158 1,687,079 5,061,238 2,530,619 7,591,858 3,795,929 11,387,788 5,693,894 2,846,947 8,540,842 4,270,421 12,811,264 6,405,632 3,202,816 1,601,408 800,704 400,352 200,176 100,088 50,044 25,022 12,511 37,534 18,767 56,302 28,151 84,454 42,227 126,682 63,341 190,024 95,012 47,506 23,753 71,260 35,630 17,815 53,446 26,723 80,170 40,085 120,256 60,128 30,064 15,032 7,516 3,758 1,879 5,638 2,819 8,458 4,229 12,688 6,344 3,172 1,586 793 2,380 1,190

More profiles

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