λ
Prime Ledger

3,016,055

5 × 7 × 17 × 37 × 137
Deficient Odd Composite

3,016,055 has the prime decomposition 5 × 7 × 17 × 37 × 137. Its 5 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 5 × 7 × 17 × 37 × 137
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,530,816
Proper Divisor Sum 1,514,761
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #3016051 ← → #3016061

Radix Representation

Decimal 3016055
Binary 1011100000010101110111 (22 bits)
Octal 0o13402567
Hexadecimal 0x2E0577

Divisor Catalog (32)

1 5 7 17 35 37 85 119 137 185 259 595 629 685 959 1,295 2,329 3,145 4,403 4,795 5,069 11,645 16,303 22,015 25,345 35,483 81,515 86,173 177,415 430,865 603,211 3,016,055

Collatz Trajectory (138 steps to reach 1)

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

3,016,055 9,048,166 4,524,083 13,572,250 6,786,125 20,358,376 10,179,188 5,089,594 2,544,797 7,634,392 3,817,196 1,908,598 954,299 2,862,898 1,431,449 4,294,348 2,147,174 1,073,587 3,220,762 1,610,381 4,831,144 2,415,572 1,207,786 603,893 1,811,680 905,840 452,920 226,460 113,230 56,615 169,846 84,923 254,770 127,385 382,156 191,078 95,539 286,618 143,309 429,928 214,964 107,482 53,741 161,224 80,612 40,306 20,153 60,460 30,230 15,115 45,346 22,673 68,020 34,010 17,005 51,016 25,508 12,754 6,377 19,132

More profiles

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