λ
Sequence Observatory

2,112,533

2112533
Deficient Odd Prime

Starting at 2,112,533, the Collatz iteration reaches 1 after 78 steps. The first transition is 6337600; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 2112533
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,112,534
Proper Divisor Sum 1
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #2112511 ← → #2112541

Radix Representation

Decimal 2112533
Binary 1000000011110000010101 (22 bits)
Octal 0o10036025
Hexadecimal 0x203C15

Divisor Catalog (2)

Collatz Trajectory (78 steps to reach 1)

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

2,112,533 6,337,600 3,168,800 1,584,400 792,200 396,100 198,050 99,025 297,076 148,538 74,269 222,808 111,404 55,702 27,851 83,554 41,777 125,332 62,666 31,333 94,000 47,000 23,500 11,750 5,875 17,626 8,813 26,440 13,220 6,610 3,305 9,916 4,958 2,479 7,438 3,719 11,158 5,579 16,738 8,369 25,108 12,554 6,277 18,832 9,416 4,708 2,354 1,177 3,532 1,766 883 2,650 1,325 3,976 1,988 994 497 1,492 746 373

More profiles

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