λ
Sequence Observatory

8,153,446

2 × 7 × 59 × 9871
Deficient Even Composite

Starting at 8,153,446, the Collatz iteration reaches 1 after 111 steps. The first transition is 4076723; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 59 × 9871
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 14,215,680
Proper Divisor Sum 6,062,234
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8153417 ← → #8153447

Radix Representation

Decimal 8153446
Binary 11111000110100101100110 (23 bits)
Octal 0o37064546
Hexadecimal 0x7C6966

Divisor Catalog (16)

1 2 7 14 59 118 413 826 9,871 19,742 69,097 138,194 582,389 1,164,778 4,076,723 8,153,446

Collatz Trajectory (111 steps to reach 1)

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

8,153,446 4,076,723 12,230,170 6,115,085 18,345,256 9,172,628 4,586,314 2,293,157 6,879,472 3,439,736 1,719,868 859,934 429,967 1,289,902 644,951 1,934,854 967,427 2,902,282 1,451,141 4,353,424 2,176,712 1,088,356 544,178 272,089 816,268 408,134 204,067 612,202 306,101 918,304 459,152 229,576 114,788 57,394 28,697 86,092 43,046 21,523 64,570 32,285 96,856 48,428 24,214 12,107 36,322 18,161 54,484 27,242 13,621 40,864 20,432 10,216 5,108 2,554 1,277 3,832 1,916 958 479 1,438

More profiles

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