λ
Harmonic Matrix

2,476,085

5 × 211 × 2347
Deficient Odd Composite

2,476,085 has digital root 5. The neighboring primes are 2476081 and 2476121; its proper-divisor sum differs from the starting integer by -1,965,514.

Prime Factor Structure

Factorization String 5 × 211 × 2347
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,986,656
Proper Divisor Sum 510,571
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #2476081 ← → #2476121

Radix Representation

Decimal 2476085
Binary 1001011100100000110101 (22 bits)
Octal 0o11344065
Hexadecimal 0x25C835

Divisor Catalog (8)

1 5 211 1,055 2,347 11,735 495,217 2,476,085

Collatz Trajectory (192 steps to reach 1)

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

2,476,085 7,428,256 3,714,128 1,857,064 928,532 464,266 232,133 696,400 348,200 174,100 87,050 43,525 130,576 65,288 32,644 16,322 8,161 24,484 12,242 6,121 18,364 9,182 4,591 13,774 6,887 20,662 10,331 30,994 15,497 46,492 23,246 11,623 34,870 17,435 52,306 26,153 78,460 39,230 19,615 58,846 29,423 88,270 44,135 132,406 66,203 198,610 99,305 297,916 148,958 74,479 223,438 111,719 335,158 167,579 502,738 251,369 754,108 377,054 188,527 565,582

More profiles

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