λ
Sequence Observatory

8,414,333

53 × 158761
Deficient Odd Composite

Starting at 8,414,333, the Collatz iteration reaches 1 after 106 steps. The first transition is 25243000; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 53 × 158761
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,573,148
Proper Divisor Sum 158,815
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #8414311 ← → #8414347

Radix Representation

Decimal 8414333
Binary 100000000110010001111101 (24 bits)
Octal 0o40062175
Hexadecimal 0x80647D

Divisor Catalog (4)

1 53 158,761 8,414,333

Collatz Trajectory (106 steps to reach 1)

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

8,414,333 25,243,000 12,621,500 6,310,750 3,155,375 9,466,126 4,733,063 14,199,190 7,099,595 21,298,786 10,649,393 31,948,180 15,974,090 7,987,045 23,961,136 11,980,568 5,990,284 2,995,142 1,497,571 4,492,714 2,246,357 6,739,072 3,369,536 1,684,768 842,384 421,192 210,596 105,298 52,649 157,948 78,974 39,487 118,462 59,231 177,694 88,847 266,542 133,271 399,814 199,907 599,722 299,861 899,584 449,792 224,896 112,448 56,224 28,112 14,056 7,028 3,514 1,757 5,272 2,636 1,318 659 1,978 989 2,968 1,484

More profiles

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