8,507,848

2³ × 947 × 1123

Starting at 8,507,848, the Collatz iteration reaches 1 after 106 steps. The first transition is 4253924; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 947 × 1123

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 15,983,280

Proper Divisor Sum 7,475,432

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #8507843 ← → #8507879

Radix Representation

Decimal	8507848
Binary	100000011101000111001000 (24 bits)
Octal	0o40350710
Hexadecimal	0x81D1C8

Divisor Catalog (16)

1 2 4 8 947 1,123 1,894 2,246 3,788 4,492 7,576 8,984 1,063,481 2,126,962 4,253,924 8,507,848

Collatz Trajectory (106 steps to reach 1)

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

8,507,848 4,253,924 2,126,962 1,063,481 3,190,444 1,595,222 797,611 2,392,834 1,196,417 3,589,252 1,794,626 897,313 2,691,940 1,345,970 672,985 2,018,956 1,009,478 504,739 1,514,218 757,109 2,271,328 1,135,664 567,832 283,916 141,958 70,979 212,938 106,469 319,408 159,704 79,852 39,926 19,963 59,890 29,945 89,836 44,918 22,459 67,378 33,689 101,068 50,534 25,267 75,802 37,901 113,704 56,852 28,426 14,213 42,640 21,320 10,660 5,330 2,665 7,996 3,998 1,999 5,998 2,999 8,998

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