λ
Sequence Observatory

2,302,193

307 × 7499
Deficient Odd Composite

Starting at 2,302,193, the Collatz iteration reaches 1 after 223 steps. The first transition is 6906580; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 307 × 7499
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,310,000
Proper Divisor Sum 7,807
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #2302169 ← → #2302217

Radix Representation

Decimal 2302193
Binary 1000110010000011110001 (22 bits)
Octal 0o10620361
Hexadecimal 0x2320F1

Divisor Catalog (4)

1 307 7,499 2,302,193

Collatz Trajectory (223 steps to reach 1)

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

2,302,193 6,906,580 3,453,290 1,726,645 5,179,936 2,589,968 1,294,984 647,492 323,746 161,873 485,620 242,810 121,405 364,216 182,108 91,054 45,527 136,582 68,291 204,874 102,437 307,312 153,656 76,828 38,414 19,207 57,622 28,811 86,434 43,217 129,652 64,826 32,413 97,240 48,620 24,310 12,155 36,466 18,233 54,700 27,350 13,675 41,026 20,513 61,540 30,770 15,385 46,156 23,078 11,539 34,618 17,309 51,928 25,964 12,982 6,491 19,474 9,737 29,212 14,606

More profiles

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