λ
Harmonic Matrix

3,510,779

3510779
Deficient Odd Prime

3,510,779 has digital root 5. The neighboring primes are 3510751 and 3510791; its proper-divisor sum differs from the starting integer by -3,510,778.

Prime Factor Structure

Factorization String 3510779
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,510,780
Proper Divisor Sum 1
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3510751 ← → #3510791

Radix Representation

Decimal 3510779
Binary 1101011001000111111011 (22 bits)
Octal 0o15310773
Hexadecimal 0x3591FB

Divisor Catalog (2)

Collatz Trajectory (128 steps to reach 1)

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

3,510,779 10,532,338 5,266,169 15,798,508 7,899,254 3,949,627 11,848,882 5,924,441 17,773,324 8,886,662 4,443,331 13,329,994 6,664,997 19,994,992 9,997,496 4,998,748 2,499,374 1,249,687 3,749,062 1,874,531 5,623,594 2,811,797 8,435,392 4,217,696 2,108,848 1,054,424 527,212 263,606 131,803 395,410 197,705 593,116 296,558 148,279 444,838 222,419 667,258 333,629 1,000,888 500,444 250,222 125,111 375,334 187,667 563,002 281,501 844,504 422,252 211,126 105,563 316,690 158,345 475,036 237,518 118,759 356,278 178,139 534,418 267,209 801,628

More profiles

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