λ
Sequence Observatory

8,510,083

41 × 207563
Deficient Odd Composite

Starting at 8,510,083, the Collatz iteration reaches 1 after 124 steps. The first transition is 25530250; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 41 × 207563
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,717,688
Proper Divisor Sum 207,605
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #8510071 ← → #8510129

Radix Representation

Decimal 8510083
Binary 100000011101101010000011 (24 bits)
Octal 0o40355203
Hexadecimal 0x81DA83

Divisor Catalog (4)

1 41 207,563 8,510,083

Collatz Trajectory (124 steps to reach 1)

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

8,510,083 25,530,250 12,765,125 38,295,376 19,147,688 9,573,844 4,786,922 2,393,461 7,180,384 3,590,192 1,795,096 897,548 448,774 224,387 673,162 336,581 1,009,744 504,872 252,436 126,218 63,109 189,328 94,664 47,332 23,666 11,833 35,500 17,750 8,875 26,626 13,313 39,940 19,970 9,985 29,956 14,978 7,489 22,468 11,234 5,617 16,852 8,426 4,213 12,640 6,320 3,160 1,580 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251

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