λ
Sigma Notebook

3,420,289

29 × 59 × 1999
Deficient Odd Composite

3,420,289 is odd and not a perfect square. Its factorization is 29 × 59 × 1999 and its 8 divisors sum to 3,600,000.

Prime Factor Structure

Factorization String 29 × 59 × 1999
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,600,000
Proper Divisor Sum 179,711
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #3420271 ← → #3420293

Radix Representation

Decimal 3420289
Binary 1101000011000010000001 (22 bits)
Octal 0o15030201
Hexadecimal 0x343081

Divisor Catalog (8)

1 29 59 1,711 1,999 57,971 117,941 3,420,289

Collatz Trajectory (76 steps to reach 1)

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

3,420,289 10,260,868 5,130,434 2,565,217 7,695,652 3,847,826 1,923,913 5,771,740 2,885,870 1,442,935 4,328,806 2,164,403 6,493,210 3,246,605 9,739,816 4,869,908 2,434,954 1,217,477 3,652,432 1,826,216 913,108 456,554 228,277 684,832 342,416 171,208 85,604 42,802 21,401 64,204 32,102 16,051 48,154 24,077 72,232 36,116 18,058 9,029 27,088 13,544 6,772 3,386 1,693 5,080 2,540 1,270 635 1,906 953 2,860 1,430 715 2,146 1,073 3,220 1,610 805 2,416 1,208 604

More profiles

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