λ
Harmonic Matrix

3,135,316

22 × 783829
Deficient Even Composite

3,135,316 has digital root 4. The neighboring primes are 3135313 and 3135317; its proper-divisor sum differs from the starting integer by -783,822.

Prime Factor Structure

Factorization String 2^2 × 783829
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 5,486,810
Proper Divisor Sum 2,351,494
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #3135313 ← → #3135317

Radix Representation

Decimal 3135316
Binary 1011111101011101010100 (22 bits)
Octal 0o13753524
Hexadecimal 0x2FD754

Divisor Catalog (6)

1 2 4 783,829 1,567,658 3,135,316

Collatz Trajectory (195 steps to reach 1)

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

3,135,316 1,567,658 783,829 2,351,488 1,175,744 587,872 293,936 146,968 73,484 36,742 18,371 55,114 27,557 82,672 41,336 20,668 10,334 5,167 15,502 7,751 23,254 11,627 34,882 17,441 52,324 26,162 13,081 39,244 19,622 9,811 29,434 14,717 44,152 22,076 11,038 5,519 16,558 8,279 24,838 12,419 37,258 18,629 55,888 27,944 13,972 6,986 3,493 10,480 5,240 2,620 1,310 655 1,966 983 2,950 1,475 4,426 2,213 6,640 3,320

More profiles

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