8,301,248

2⁶ × 129707

Starting at 8,301,248, the Collatz iteration reaches 1 after 199 steps. The first transition is 4150624; the starting value is even with 14 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 129707

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 14

Divisor Sum (σ) 16,472,916

Proper Divisor Sum 8,171,668

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #8301217 ← → #8301257

Radix Representation

Decimal	8301248
Binary	11111101010101011000000 (23 bits)
Octal	0o37525300
Hexadecimal	0x7EAAC0

Divisor Catalog (14)

1 2 4 8 16 32 64 129,707 259,414 518,828 1,037,656 2,075,312 4,150,624 8,301,248

Collatz Trajectory (199 steps to reach 1)

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

8,301,248 4,150,624 2,075,312 1,037,656 518,828 259,414 129,707 389,122 194,561 583,684 291,842 145,921 437,764 218,882 109,441 328,324 164,162 82,081 246,244 123,122 61,561 184,684 92,342 46,171 138,514 69,257 207,772 103,886 51,943 155,830 77,915 233,746 116,873 350,620 175,310 87,655 262,966 131,483 394,450 197,225 591,676 295,838 147,919 443,758 221,879 665,638 332,819 998,458 499,229 1,497,688 748,844 374,422 187,211 561,634 280,817 842,452 421,226 210,613 631,840 315,920

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