8,292,653

263 × 31531

Starting at 8,292,653, the Collatz iteration reaches 1 after 168 steps. The first transition is 24877960; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 263 × 31531

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 8,324,448

Proper Divisor Sum 31,795

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #8292649 ← → #8292659

Radix Representation

Decimal	8292653
Binary	11111101000100100101101 (23 bits)
Octal	0o37504455
Hexadecimal	0x7E892D

Divisor Catalog (4)

1 263 31,531 8,292,653

Collatz Trajectory (168 steps to reach 1)

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

8,292,653 24,877,960 12,438,980 6,219,490 3,109,745 9,329,236 4,664,618 2,332,309 6,996,928 3,498,464 1,749,232 874,616 437,308 218,654 109,327 327,982 163,991 491,974 245,987 737,962 368,981 1,106,944 553,472 276,736 138,368 69,184 34,592 17,296 8,648 4,324 2,162 1,081 3,244 1,622 811 2,434 1,217 3,652 1,826 913 2,740 1,370 685 2,056 1,028 514 257 772 386 193 580 290 145 436 218 109 328 164 82 41

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