8,423,972

2² × 2105993

Starting at 8,423,972, the Collatz iteration reaches 1 after 199 steps. The first transition is 4211986; the starting value is even with 6 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 2105993

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 14,741,958

Proper Divisor Sum 6,317,986

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #8423953 ← → #8423999

Radix Representation

Decimal	8423972
Binary	100000001000101000100100 (24 bits)
Octal	0o40105044
Hexadecimal	0x808A24

Divisor Catalog (6)

1 2 4 2,105,993 4,211,986 8,423,972

Collatz Trajectory (199 steps to reach 1)

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

8,423,972 4,211,986 2,105,993 6,317,980 3,158,990 1,579,495 4,738,486 2,369,243 7,107,730 3,553,865 10,661,596 5,330,798 2,665,399 7,996,198 3,998,099 11,994,298 5,997,149 17,991,448 8,995,724 4,497,862 2,248,931 6,746,794 3,373,397 10,120,192 5,060,096 2,530,048 1,265,024 632,512 316,256 158,128 79,064 39,532 19,766 9,883 29,650 14,825 44,476 22,238 11,119 33,358 16,679 50,038 25,019 75,058 37,529 112,588 56,294 28,147 84,442 42,221 126,664 63,332 31,666 15,833 47,500 23,750 11,875 35,626 17,813 53,440

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