λ
Prime Ledger

2,901,967

967 × 3001
Deficient Odd Composite

2,901,967 has the prime decomposition 967 × 3001. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 967 × 3001
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,905,936
Proper Divisor Sum 3,969
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #2901931 ← → #2901989

Radix Representation

Decimal 2901967
Binary 1011000100011111001111 (22 bits)
Octal 0o13043717
Hexadecimal 0x2C47CF

Divisor Catalog (4)

1 967 3,001 2,901,967

Collatz Trajectory (213 steps to reach 1)

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

2,901,967 8,705,902 4,352,951 13,058,854 6,529,427 19,588,282 9,794,141 29,382,424 14,691,212 7,345,606 3,672,803 11,018,410 5,509,205 16,527,616 8,263,808 4,131,904 2,065,952 1,032,976 516,488 258,244 129,122 64,561 193,684 96,842 48,421 145,264 72,632 36,316 18,158 9,079 27,238 13,619 40,858 20,429 61,288 30,644 15,322 7,661 22,984 11,492 5,746 2,873 8,620 4,310 2,155 6,466 3,233 9,700 4,850 2,425 7,276 3,638 1,819 5,458 2,729 8,188 4,094 2,047 6,142 3,071

More profiles

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