λ
Prime Ledger

3,071,110

2 × 5 × 7 × 73 × 601
Abundant Even Composite

3,071,110 has the prime decomposition 2 × 5 × 7 × 73 × 601. Its 5 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 73 × 601
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,414,912
Proper Divisor Sum 3,343,802
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #3071093 ← → #3071113

Radix Representation

Decimal 3071110
Binary 1011101101110010000110 (22 bits)
Octal 0o13556206
Hexadecimal 0x2EDC86

Divisor Catalog (32)

1 2 5 7 10 14 35 70 73 146 365 511 601 730 1,022 1,202 2,555 3,005 4,207 5,110 6,010 8,414 21,035 42,070 43,873 87,746 219,365 307,111 438,730 614,222 1,535,555 3,071,110

Collatz Trajectory (102 steps to reach 1)

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

3,071,110 1,535,555 4,606,666 2,303,333 6,910,000 3,455,000 1,727,500 863,750 431,875 1,295,626 647,813 1,943,440 971,720 485,860 242,930 121,465 364,396 182,198 91,099 273,298 136,649 409,948 204,974 102,487 307,462 153,731 461,194 230,597 691,792 345,896 172,948 86,474 43,237 129,712 64,856 32,428 16,214 8,107 24,322 12,161 36,484 18,242 9,121 27,364 13,682 6,841 20,524 10,262 5,131 15,394 7,697 23,092 11,546 5,773 17,320 8,660 4,330 2,165 6,496 3,248

More profiles

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