λ
Prime Ledger

3,509,474

2 × 179 × 9803
Deficient Even Composite

3,509,474 has the prime decomposition 2 × 179 × 9803. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 179 × 9803
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,294,160
Proper Divisor Sum 1,784,686
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3509461 ← → #3509491

Radix Representation

Decimal 3509474
Binary 1101011000110011100010 (22 bits)
Octal 0o15306342
Hexadecimal 0x358CE2

Divisor Catalog (8)

1 2 179 358 9,803 19,606 1,754,737 3,509,474

Collatz Trajectory (146 steps to reach 1)

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

3,509,474 1,754,737 5,264,212 2,632,106 1,316,053 3,948,160 1,974,080 987,040 493,520 246,760 123,380 61,690 30,845 92,536 46,268 23,134 11,567 34,702 17,351 52,054 26,027 78,082 39,041 117,124 58,562 29,281 87,844 43,922 21,961 65,884 32,942 16,471 49,414 24,707 74,122 37,061 111,184 55,592 27,796 13,898 6,949 20,848 10,424 5,212 2,606 1,303 3,910 1,955 5,866 2,933 8,800 4,400 2,200 1,100 550 275 826 413 1,240 620

More profiles

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