λ
Prime Ledger

6,700,112

24 × 317 × 1321
Deficient Even Composite

6,700,112 has the prime decomposition 2^4 × 317 × 1321. Its 3 distinct prime factors produce 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 317 × 1321
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 13,032,276
Proper Divisor Sum 6,332,164
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #6700093 ← → #6700129

Radix Representation

Decimal 6700112
Binary 11001100011110001010000 (23 bits)
Octal 0o31436120
Hexadecimal 0x663C50

Divisor Catalog (20)

1 2 4 8 16 317 634 1,268 1,321 2,536 2,642 5,072 5,284 10,568 21,136 418,757 837,514 1,675,028 3,350,056 6,700,112

Collatz Trajectory (147 steps to reach 1)

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

6,700,112 3,350,056 1,675,028 837,514 418,757 1,256,272 628,136 314,068 157,034 78,517 235,552 117,776 58,888 29,444 14,722 7,361 22,084 11,042 5,521 16,564 8,282 4,141 12,424 6,212 3,106 1,553 4,660 2,330 1,165 3,496 1,748 874 437 1,312 656 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206

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