8,629,508

2² × 23 × 97 × 967

8,629,508 has the prime decomposition 2^2 × 23 × 97 × 967. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 23 × 97 × 967

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 15,937,152

Proper Divisor Sum 7,307,644

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #8629507 ← → #8629561

Radix Representation

Decimal	8629508
Binary	100000111010110100000100 (24 bits)
Octal	0o40726404
Hexadecimal	0x83AD04

Divisor Catalog (24)

1 2 4 23 46 92 97 194 388 967 1,934 2,231 3,868 4,462 8,924 22,241 44,482 88,964 93,799 187,598 375,196 2,157,377 4,314,754 8,629,508

Collatz Trajectory (137 steps to reach 1)

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

8,629,508 4,314,754 2,157,377 6,472,132 3,236,066 1,618,033 4,854,100 2,427,050 1,213,525 3,640,576 1,820,288 910,144 455,072 227,536 113,768 56,884 28,442 14,221 42,664 21,332 10,666 5,333 16,000 8,000 4,000 2,000 1,000 500 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263

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