λ
Sequence Observatory

8,433,419

107 × 269 × 293
Deficient Odd Composite

Starting at 8,433,419, the Collatz iteration reaches 1 after 111 steps. The first transition is 25300258; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 107 × 269 × 293
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,573,040
Proper Divisor Sum 139,621
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #8433409 ← → #8433443

Radix Representation

Decimal 8433419
Binary 100000001010111100001011 (24 bits)
Octal 0o40127413
Hexadecimal 0x80AF0B

Divisor Catalog (8)

1 107 269 293 28,783 31,351 78,817 8,433,419

Collatz Trajectory (111 steps to reach 1)

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

8,433,419 25,300,258 12,650,129 37,950,388 18,975,194 9,487,597 28,462,792 14,231,396 7,115,698 3,557,849 10,673,548 5,336,774 2,668,387 8,005,162 4,002,581 12,007,744 6,003,872 3,001,936 1,500,968 750,484 375,242 187,621 562,864 281,432 140,716 70,358 35,179 105,538 52,769 158,308 79,154 39,577 118,732 59,366 29,683 89,050 44,525 133,576 66,788 33,394 16,697 50,092 25,046 12,523 37,570 18,785 56,356 28,178 14,089 42,268 21,134 10,567 31,702 15,851 47,554 23,777 71,332 35,666 17,833 53,500

More profiles

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