λ
Prime Ledger

3,415,988

22 × 37 × 23081
Deficient Even Composite

3,415,988 has the prime decomposition 2^2 × 37 × 23081. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 37 × 23081
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 6,139,812
Proper Divisor Sum 2,723,824
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #3415987 ← → #3415999

Radix Representation

Decimal 3415988
Binary 1101000001111110110100 (22 bits)
Octal 0o15017664
Hexadecimal 0x341FB4

Divisor Catalog (12)

1 2 4 37 74 148 23,081 46,162 92,324 853,997 1,707,994 3,415,988

Collatz Trajectory (128 steps to reach 1)

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

3,415,988 1,707,994 853,997 2,561,992 1,280,996 640,498 320,249 960,748 480,374 240,187 720,562 360,281 1,080,844 540,422 270,211 810,634 405,317 1,215,952 607,976 303,988 151,994 75,997 227,992 113,996 56,998 28,499 85,498 42,749 128,248 64,124 32,062 16,031 48,094 24,047 72,142 36,071 108,214 54,107 162,322 81,161 243,484 121,742 60,871 182,614 91,307 273,922 136,961 410,884 205,442 102,721 308,164 154,082 77,041 231,124 115,562 57,781 173,344 86,672 43,336 21,668

More profiles

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