λ
Harmonic Matrix

4,620,787

17 × 271811
Deficient Odd Composite

4,620,787 has digital root 7. The neighboring primes are 4620779 and 4620793; its proper-divisor sum differs from the starting integer by -4,348,958.

Prime Factor Structure

Factorization String 17 × 271811
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,892,616
Proper Divisor Sum 271,829
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #4620779 ← → #4620793

Radix Representation

Decimal 4620787
Binary 10001101000000111110011 (23 bits)
Octal 0o21500763
Hexadecimal 0x4681F3

Divisor Catalog (4)

1 17 271,811 4,620,787

Collatz Trajectory (330 steps to reach 1)

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

4,620,787 13,862,362 6,931,181 20,793,544 10,396,772 5,198,386 2,599,193 7,797,580 3,898,790 1,949,395 5,848,186 2,924,093 8,772,280 4,386,140 2,193,070 1,096,535 3,289,606 1,644,803 4,934,410 2,467,205 7,401,616 3,700,808 1,850,404 925,202 462,601 1,387,804 693,902 346,951 1,040,854 520,427 1,561,282 780,641 2,341,924 1,170,962 585,481 1,756,444 878,222 439,111 1,317,334 658,667 1,976,002 988,001 2,964,004 1,482,002 741,001 2,223,004 1,111,502 555,751 1,667,254 833,627 2,500,882 1,250,441 3,751,324 1,875,662 937,831 2,813,494 1,406,747 4,220,242 2,110,121 6,330,364

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