λ
Prime Ledger

2,762,117

2762117
Deficient Odd Prime

2,762,117 has the prime decomposition 2762117. Its 1 distinct prime factor produce 2 positive divisors.

Prime Factor Structure

Factorization String 2762117
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,762,118
Proper Divisor Sum 1
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #2762083 ← → #2762119

Radix Representation

Decimal 2762117
Binary 1010100010010110000101 (22 bits)
Octal 0o12422605
Hexadecimal 0x2A2585

Divisor Catalog (2)

Collatz Trajectory (81 steps to reach 1)

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

2,762,117 8,286,352 4,143,176 2,071,588 1,035,794 517,897 1,553,692 776,846 388,423 1,165,270 582,635 1,747,906 873,953 2,621,860 1,310,930 655,465 1,966,396 983,198 491,599 1,474,798 737,399 2,212,198 1,106,099 3,318,298 1,659,149 4,977,448 2,488,724 1,244,362 622,181 1,866,544 933,272 466,636 233,318 116,659 349,978 174,989 524,968 262,484 131,242 65,621 196,864 98,432 49,216 24,608 12,304 6,152 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488

More profiles

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