λ
Prime Ledger

3,797,509

3797509
Deficient Odd Prime

3,797,509 has the prime decomposition 3797509. Its 1 distinct prime factor produce 2 positive divisors.

Prime Factor Structure

Factorization String 3797509
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,797,510
Proper Divisor Sum 1
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #3797501 ← → #3797527

Radix Representation

Decimal 3797509
Binary 1110011111001000000101 (22 bits)
Octal 0o16371005
Hexadecimal 0x39F205

Divisor Catalog (2)

Collatz Trajectory (110 steps to reach 1)

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

3,797,509 11,392,528 5,696,264 2,848,132 1,424,066 712,033 2,136,100 1,068,050 534,025 1,602,076 801,038 400,519 1,201,558 600,779 1,802,338 901,169 2,703,508 1,351,754 675,877 2,027,632 1,013,816 506,908 253,454 126,727 380,182 190,091 570,274 285,137 855,412 427,706 213,853 641,560 320,780 160,390 80,195 240,586 120,293 360,880 180,440 90,220 45,110 22,555 67,666 33,833 101,500 50,750 25,375 76,126 38,063 114,190 57,095 171,286 85,643 256,930 128,465 385,396 192,698 96,349 289,048 144,524

More profiles

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