λ
Sequence Observatory

8,204,467

83 × 98849
Deficient Odd Composite

Starting at 8,204,467, the Collatz iteration reaches 1 after 54 steps. The first transition is 24613402; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 83 × 98849
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,303,400
Proper Divisor Sum 98,933
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8204431 ← → #8204473

Radix Representation

Decimal 8204467
Binary 11111010011000010110011 (23 bits)
Octal 0o37230263
Hexadecimal 0x7D30B3

Divisor Catalog (4)

1 83 98,849 8,204,467

Collatz Trajectory (54 steps to reach 1)

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

8,204,467 24,613,402 12,306,701 36,920,104 18,460,052 9,230,026 4,615,013 13,845,040 6,922,520 3,461,260 1,730,630 865,315 2,595,946 1,297,973 3,893,920 1,946,960 973,480 486,740 243,370 121,685 365,056 182,528 91,264 45,632 22,816 11,408 5,704 2,852 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

More profiles

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