λ
Prime Ledger

8,110,076

22 × 13 × 23 × 6781
Deficient Even Composite

8,110,076 has the prime decomposition 2^2 × 13 × 23 × 6781. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 13 × 23 × 6781
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 15,951,264
Proper Divisor Sum 7,841,188
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #8110043 ← → #8110097

Radix Representation

Decimal 8110076
Binary 11110111011111111111100 (23 bits)
Octal 0o36737774
Hexadecimal 0x7BBFFC

Divisor Catalog (24)

1 2 4 13 23 26 46 52 92 299 598 1,196 6,781 13,562 27,124 88,153 155,963 176,306 311,926 352,612 623,852 2,027,519 4,055,038 8,110,076

Collatz Trajectory (248 steps to reach 1)

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

8,110,076 4,055,038 2,027,519 6,082,558 3,041,279 9,123,838 4,561,919 13,685,758 6,842,879 20,528,638 10,264,319 30,792,958 15,396,479 46,189,438 23,094,719 69,284,158 34,642,079 103,926,238 51,963,119 155,889,358 77,944,679 233,834,038 116,917,019 350,751,058 175,375,529 526,126,588 263,063,294 131,531,647 394,594,942 197,297,471 591,892,414 295,946,207 887,838,622 443,919,311 1,331,757,934 665,878,967 1,997,636,902 998,818,451 2,996,455,354 1,498,227,677 4,494,683,032 2,247,341,516 1,123,670,758 561,835,379 1,685,506,138 842,753,069 2,528,259,208 1,264,129,604 632,064,802 316,032,401 948,097,204 474,048,602 237,024,301 711,072,904 355,536,452 177,768,226 88,884,113 266,652,340 133,326,170 66,663,085

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