λ
Prime Ledger

4,001,995

5 × 800399
Deficient Odd Composite

4,001,995 has the prime decomposition 5 × 800399. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 5 × 800399
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,802,400
Proper Divisor Sum 800,405
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4001947 ← → #4001999

Radix Representation

Decimal 4001995
Binary 1111010001000011001011 (22 bits)
Octal 0o17210313
Hexadecimal 0x3D10CB

Divisor Catalog (4)

1 5 800,399 4,001,995

Collatz Trajectory (92 steps to reach 1)

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

4,001,995 12,005,986 6,002,993 18,008,980 9,004,490 4,502,245 13,506,736 6,753,368 3,376,684 1,688,342 844,171 2,532,514 1,266,257 3,798,772 1,899,386 949,693 2,849,080 1,424,540 712,270 356,135 1,068,406 534,203 1,602,610 801,305 2,403,916 1,201,958 600,979 1,802,938 901,469 2,704,408 1,352,204 676,102 338,051 1,014,154 507,077 1,521,232 760,616 380,308 190,154 95,077 285,232 142,616 71,308 35,654 17,827 53,482 26,741 80,224 40,112 20,056 10,028 5,014 2,507 7,522 3,761 11,284 5,642 2,821 8,464 4,232

More profiles

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