8,090,809

73 × 137 × 809

Starting at 8,090,809, the Collatz iteration reaches 1 after 217 steps. The first transition is 24272428; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 73 × 137 × 809

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,271,720

Proper Divisor Sum 180,911

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #8090801 ← → #8090813

Radix Representation

Decimal	8090809
Binary	11110110111010010111001 (23 bits)
Octal	0o36672271
Hexadecimal	0x7B74B9

Divisor Catalog (8)

1 73 137 809 10,001 59,057 110,833 8,090,809

Collatz Trajectory (217 steps to reach 1)

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

8,090,809 24,272,428 12,136,214 6,068,107 18,204,322 9,102,161 27,306,484 13,653,242 6,826,621 20,479,864 10,239,932 5,119,966 2,559,983 7,679,950 3,839,975 11,519,926 5,759,963 17,279,890 8,639,945 25,919,836 12,959,918 6,479,959 19,439,878 9,719,939 29,159,818 14,579,909 43,739,728 21,869,864 10,934,932 5,467,466 2,733,733 8,201,200 4,100,600 2,050,300 1,025,150 512,575 1,537,726 768,863 2,306,590 1,153,295 3,459,886 1,729,943 5,189,830 2,594,915 7,784,746 3,892,373 11,677,120 5,838,560 2,919,280 1,459,640 729,820 364,910 182,455 547,366 273,683 821,050 410,525 1,231,576 615,788 307,894

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