λ
Sequence Observatory

3,605,027

3605027
Deficient Odd Prime

Starting at 3,605,027, the Collatz iteration reaches 1 after 115 steps. The first transition is 10815082; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 3605027
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,605,028
Proper Divisor Sum 1
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #3604999 ← → #3605033

Radix Representation

Decimal 3605027
Binary 1101110000001000100011 (22 bits)
Octal 0o15601043
Hexadecimal 0x370223

Divisor Catalog (2)

1 3,605,027

Collatz Trajectory (115 steps to reach 1)

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

3,605,027 10,815,082 5,407,541 16,222,624 8,111,312 4,055,656 2,027,828 1,013,914 506,957 1,520,872 760,436 380,218 190,109 570,328 285,164 142,582 71,291 213,874 106,937 320,812 160,406 80,203 240,610 120,305 360,916 180,458 90,229 270,688 135,344 67,672 33,836 16,918 8,459 25,378 12,689 38,068 19,034 9,517 28,552 14,276 7,138 3,569 10,708 5,354 2,677 8,032 4,016 2,008 1,004 502 251 754 377 1,132 566 283 850 425 1,276 638

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