λ
Prime Ledger

4,069,647

32 × 17 × 67 × 397
Deficient Odd Composite

4,069,647 has the prime decomposition 3^2 × 17 × 67 × 397. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 17 × 67 × 397
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,332,976
Proper Divisor Sum 2,263,329
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4069627 ← → #4069651

Radix Representation

Decimal 4069647
Binary 1111100001100100001111 (22 bits)
Octal 0o17414417
Hexadecimal 0x3E190F

Divisor Catalog (24)

1 3 9 17 51 67 153 201 397 603 1,139 1,191 3,417 3,573 6,749 10,251 20,247 26,599 60,741 79,797 239,391 452,183 1,356,549 4,069,647

Collatz Trajectory (110 steps to reach 1)

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

4,069,647 12,208,942 6,104,471 18,313,414 9,156,707 27,470,122 13,735,061 41,205,184 20,602,592 10,301,296 5,150,648 2,575,324 1,287,662 643,831 1,931,494 965,747 2,897,242 1,448,621 4,345,864 2,172,932 1,086,466 543,233 1,629,700 814,850 407,425 1,222,276 611,138 305,569 916,708 458,354 229,177 687,532 343,766 171,883 515,650 257,825 773,476 386,738 193,369 580,108 290,054 145,027 435,082 217,541 652,624 326,312 163,156 81,578 40,789 122,368 61,184 30,592 15,296 7,648 3,824 1,912 956 478 239 718

More profiles

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