λ
Harmonic Matrix

3,030,409

3030409
Deficient Odd Prime

3,030,409 has digital root 1. The neighboring primes are 3030407 and 3030431; its proper-divisor sum differs from the starting integer by -3,030,408.

Prime Factor Structure

Factorization String 3030409
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,030,410
Proper Divisor Sum 1
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #3030407 ← → #3030431

Radix Representation

Decimal 3030409
Binary 1011100011110110001001 (22 bits)
Octal 0o13436611
Hexadecimal 0x2E3D89

Divisor Catalog (2)

1 3,030,409

Collatz Trajectory (182 steps to reach 1)

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

3,030,409 9,091,228 4,545,614 2,272,807 6,818,422 3,409,211 10,227,634 5,113,817 15,341,452 7,670,726 3,835,363 11,506,090 5,753,045 17,259,136 8,629,568 4,314,784 2,157,392 1,078,696 539,348 269,674 134,837 404,512 202,256 101,128 50,564 25,282 12,641 37,924 18,962 9,481 28,444 14,222 7,111 21,334 10,667 32,002 16,001 48,004 24,002 12,001 36,004 18,002 9,001 27,004 13,502 6,751 20,254 10,127 30,382 15,191 45,574 22,787 68,362 34,181 102,544 51,272 25,636 12,818 6,409 19,228

More profiles

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