8,617,168

2⁴ × 7 × 47 × 1637

8,617,168 has the prime decomposition 2^4 × 7 × 47 × 1637. Its 4 distinct prime factors produce 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 7 × 47 × 1637

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 19,498,752

Proper Divisor Sum 10,881,584

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #8617153 ← → #8617171

Radix Representation

Decimal	8617168
Binary	100000110111110011010000 (24 bits)
Octal	0o40676320
Hexadecimal	0x837CD0

Divisor Catalog (40)

1 2 4 7 8 14 16 28 47 56 94 112 188 329 376 658 752 1,316 1,637 2,632 3,274 5,264 6,548 11,459 13,096 22,918 26,192 45,836 76,939 91,672 153,878 183,344 307,756 538,573 615,512 1,077,146 1,231,024 2,154,292 4,308,584 8,617,168

Collatz Trajectory (75 steps to reach 1)

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

8,617,168 4,308,584 2,154,292 1,077,146 538,573 1,615,720 807,860 403,930 201,965 605,896 302,948 151,474 75,737 227,212 113,606 56,803 170,410 85,205 255,616 127,808 63,904 31,952 15,976 7,988 3,994 1,997 5,992 2,996 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44

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