λ
Sequence Observatory

8,514,471

3 × 7 × 373 × 1087
Deficient Odd Composite

Starting at 8,514,471, the Collatz iteration reaches 1 after 199 steps. The first transition is 25543414; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 373 × 1087
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 13,021,184
Proper Divisor Sum 4,506,713
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #8514469 ← → #8514479

Radix Representation

Decimal 8514471
Binary 100000011110101110100111 (24 bits)
Octal 0o40365647
Hexadecimal 0x81EBA7

Divisor Catalog (16)

1 3 7 21 373 1,087 1,119 2,611 3,261 7,609 7,833 22,827 405,451 1,216,353 2,838,157 8,514,471

Collatz Trajectory (199 steps to reach 1)

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

8,514,471 25,543,414 12,771,707 38,315,122 19,157,561 57,472,684 28,736,342 14,368,171 43,104,514 21,552,257 64,656,772 32,328,386 16,164,193 48,492,580 24,246,290 12,123,145 36,369,436 18,184,718 9,092,359 27,277,078 13,638,539 40,915,618 20,457,809 61,373,428 30,686,714 15,343,357 46,030,072 23,015,036 11,507,518 5,753,759 17,261,278 8,630,639 25,891,918 12,945,959 38,837,878 19,418,939 58,256,818 29,128,409 87,385,228 43,692,614 21,846,307 65,538,922 32,769,461 98,308,384 49,154,192 24,577,096 12,288,548 6,144,274 3,072,137 9,216,412 4,608,206 2,304,103 6,912,310 3,456,155 10,368,466 5,184,233 15,552,700 7,776,350 3,888,175 11,664,526

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