λ
Prime Ledger

2,261,029

47 × 73 × 659
Deficient Odd Composite

2,261,029 has the prime decomposition 47 × 73 × 659. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 47 × 73 × 659
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,344,320
Proper Divisor Sum 83,291
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #2261023 ← → #2261041

Radix Representation

Decimal 2261029
Binary 1000101000000000100101 (22 bits)
Octal 0o10500045
Hexadecimal 0x228025

Divisor Catalog (8)

1 47 73 659 3,431 30,973 48,107 2,261,029

Collatz Trajectory (179 steps to reach 1)

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

2,261,029 6,783,088 3,391,544 1,695,772 847,886 423,943 1,271,830 635,915 1,907,746 953,873 2,861,620 1,430,810 715,405 2,146,216 1,073,108 536,554 268,277 804,832 402,416 201,208 100,604 50,302 25,151 75,454 37,727 113,182 56,591 169,774 84,887 254,662 127,331 381,994 190,997 572,992 286,496 143,248 71,624 35,812 17,906 8,953 26,860 13,430 6,715 20,146 10,073 30,220 15,110 7,555 22,666 11,333 34,000 17,000 8,500 4,250 2,125 6,376 3,188 1,594 797 2,392

More profiles

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