8,237,620

2² × 5 × 223 × 1847

Starting at 8,237,620, the Collatz iteration reaches 1 after 106 steps. The first transition is 4118810; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 223 × 1847

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 17,385,984

Proper Divisor Sum 9,148,364

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #8237617 ← → #8237627

Radix Representation

Decimal	8237620
Binary	11111011011001000110100 (23 bits)
Octal	0o37331064
Hexadecimal	0x7DB234

Divisor Catalog (24)

Collatz Trajectory (106 steps to reach 1)

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

8,237,620 4,118,810 2,059,405 6,178,216 3,089,108 1,544,554 772,277 2,316,832 1,158,416 579,208 289,604 144,802 72,401 217,204 108,602 54,301 162,904 81,452 40,726 20,363 61,090 30,545 91,636 45,818 22,909 68,728 34,364 17,182 8,591 25,774 12,887 38,662 19,331 57,994 28,997 86,992 43,496 21,748 10,874 5,437 16,312 8,156 4,078 2,039 6,118 3,059 9,178 4,589 13,768 6,884 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453

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