λ
Harmonic Matrix

3,511,479

3 × 23 × 50891
Deficient Odd Composite

3,511,479 has digital root 3. The neighboring primes are 3511477 and 3511489; its proper-divisor sum differs from the starting integer by -2,137,326.

Prime Factor Structure

Factorization String 3 × 23 × 50891
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,885,632
Proper Divisor Sum 1,374,153
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3511477 ← → #3511489

Radix Representation

Decimal 3511479
Binary 1101011001010010110111 (22 bits)
Octal 0o15312267
Hexadecimal 0x3594B7

Divisor Catalog (8)

1 3 23 69 50,891 152,673 1,170,493 3,511,479

Collatz Trajectory (190 steps to reach 1)

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

3,511,479 10,534,438 5,267,219 15,801,658 7,900,829 23,702,488 11,851,244 5,925,622 2,962,811 8,888,434 4,444,217 13,332,652 6,666,326 3,333,163 9,999,490 4,999,745 14,999,236 7,499,618 3,749,809 11,249,428 5,624,714 2,812,357 8,437,072 4,218,536 2,109,268 1,054,634 527,317 1,581,952 790,976 395,488 197,744 98,872 49,436 24,718 12,359 37,078 18,539 55,618 27,809 83,428 41,714 20,857 62,572 31,286 15,643 46,930 23,465 70,396 35,198 17,599 52,798 26,399 79,198 39,599 118,798 59,399 178,198 89,099 267,298 133,649

More profiles

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