λ
Harmonic Matrix

3,030,791

3030791
Deficient Odd Prime

3,030,791 has digital root 5. The neighboring primes are 3030767 and 3030799; its proper-divisor sum differs from the starting integer by -3,030,790.

Prime Factor Structure

Factorization String 3030791
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,030,792
Proper Divisor Sum 1
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #3030767 ← → #3030799

Radix Representation

Decimal 3030791
Binary 1011100011111100000111 (22 bits)
Octal 0o13437407
Hexadecimal 0x2E3F07

Divisor Catalog (2)

Collatz Trajectory (182 steps to reach 1)

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

3,030,791 9,092,374 4,546,187 13,638,562 6,819,281 20,457,844 10,228,922 5,114,461 15,343,384 7,671,692 3,835,846 1,917,923 5,753,770 2,876,885 8,630,656 4,315,328 2,157,664 1,078,832 539,416 269,708 134,854 67,427 202,282 101,141 303,424 151,712 75,856 37,928 18,964 9,482 4,741 14,224 7,112 3,556 1,778 889 2,668 1,334 667 2,002 1,001 3,004 1,502 751 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283 12,850 6,425 19,276

More profiles

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