λ
Sequence Observatory

8,445,065

5 × 37 × 191 × 239
Deficient Odd Composite

Starting at 8,445,065, the Collatz iteration reaches 1 after 292 steps. The first transition is 25335196; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 37 × 191 × 239
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,506,240
Proper Divisor Sum 2,061,175
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #8445049 ← → #8445079

Radix Representation

Decimal 8445065
Binary 100000001101110010001001 (24 bits)
Octal 0o40156211
Hexadecimal 0x80DC89

Divisor Catalog (16)

1 5 37 185 191 239 955 1,195 7,067 8,843 35,335 44,215 45,649 228,245 1,689,013 8,445,065

Collatz Trajectory (292 steps to reach 1)

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

8,445,065 25,335,196 12,667,598 6,333,799 19,001,398 9,500,699 28,502,098 14,251,049 42,753,148 21,376,574 10,688,287 32,064,862 16,032,431 48,097,294 24,048,647 72,145,942 36,072,971 108,218,914 54,109,457 162,328,372 81,164,186 40,582,093 121,746,280 60,873,140 30,436,570 15,218,285 45,654,856 22,827,428 11,413,714 5,706,857 17,120,572 8,560,286 4,280,143 12,840,430 6,420,215 19,260,646 9,630,323 28,890,970 14,445,485 43,336,456 21,668,228 10,834,114 5,417,057 16,251,172 8,125,586 4,062,793 12,188,380 6,094,190 3,047,095 9,141,286 4,570,643 13,711,930 6,855,965 20,567,896 10,283,948 5,141,974 2,570,987 7,712,962 3,856,481 11,569,444

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