λ
Sequence Observatory

2,421,919

2421919
Deficient Odd Prime

Starting at 2,421,919, the Collatz iteration reaches 1 after 311 steps. The first transition is 7265758; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 2421919
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,421,920
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2421917 ← → #2421931

Radix Representation

Decimal 2421919
Binary 1001001111010010011111 (22 bits)
Octal 0o11172237
Hexadecimal 0x24F49F

Divisor Catalog (2)

Collatz Trajectory (311 steps to reach 1)

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

2,421,919 7,265,758 3,632,879 10,898,638 5,449,319 16,347,958 8,173,979 24,521,938 12,260,969 36,782,908 18,391,454 9,195,727 27,587,182 13,793,591 41,380,774 20,690,387 62,071,162 31,035,581 93,106,744 46,553,372 23,276,686 11,638,343 34,915,030 17,457,515 52,372,546 26,186,273 78,558,820 39,279,410 19,639,705 58,919,116 29,459,558 14,729,779 44,189,338 22,094,669 66,284,008 33,142,004 16,571,002 8,285,501 24,856,504 12,428,252 6,214,126 3,107,063 9,321,190 4,660,595 13,981,786 6,990,893 20,972,680 10,486,340 5,243,170 2,621,585 7,864,756 3,932,378 1,966,189 5,898,568 2,949,284 1,474,642 737,321 2,211,964 1,105,982 552,991

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