λ
Sequence Observatory

215,045

5 × 41 × 1049
Deficient Odd Composite

Starting at 215,045, the Collatz iteration reaches 1 after 98 steps. The first transition is 645136; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 41 × 1049
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 264,600
Proper Divisor Sum 49,555
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #214993 ← → #215051

Radix Representation

Decimal 215045
Binary 110100100000000101 (18 bits)
Octal 0o644005
Hexadecimal 0x34805

Divisor Catalog (8)

1 5 41 205 1,049 5,245 43,009 215,045

Collatz Trajectory (98 steps to reach 1)

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

215,045 645,136 322,568 161,284 80,642 40,321 120,964 60,482 30,241 90,724 45,362 22,681 68,044 34,022 17,011 51,034 25,517 76,552 38,276 19,138 9,569 28,708 14,354 7,177 21,532 10,766 5,383 16,150 8,075 24,226 12,113 36,340 18,170 9,085 27,256 13,628 6,814 3,407 10,222 5,111 15,334 7,667 23,002 11,501 34,504 17,252 8,626 4,313 12,940 6,470 3,235 9,706 4,853 14,560 7,280 3,640 1,820 910 455 1,366

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