8,241,827

11 × 749257

Starting at 8,241,827, the Collatz iteration reaches 1 after 199 steps. The first transition is 24725482; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 11 × 749257

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 8,991,096

Proper Divisor Sum 749,269

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #8241803 ← → #8241847

Radix Representation

Decimal	8241827
Binary	11111011100001010100011 (23 bits)
Octal	0o37341243
Hexadecimal	0x7DC2A3

Divisor Catalog (4)

1 11 749,257 8,241,827

Collatz Trajectory (199 steps to reach 1)

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

8,241,827 24,725,482 12,362,741 37,088,224 18,544,112 9,272,056 4,636,028 2,318,014 1,159,007 3,477,022 1,738,511 5,215,534 2,607,767 7,823,302 3,911,651 11,734,954 5,867,477 17,602,432 8,801,216 4,400,608 2,200,304 1,100,152 550,076 275,038 137,519 412,558 206,279 618,838 309,419 928,258 464,129 1,392,388 696,194 348,097 1,044,292 522,146 261,073 783,220 391,610 195,805 587,416 293,708 146,854 73,427 220,282 110,141 330,424 165,212 82,606 41,303 123,910 61,955 185,866 92,933 278,800 139,400 69,700 34,850 17,425 52,276

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