λ
Sequence Observatory

4,749,878

2 × 7 × 157 × 2161
Deficient Even Composite

Starting at 4,749,878, the Collatz iteration reaches 1 after 123 steps. The first transition is 2374939; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 157 × 2161
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,198,304
Proper Divisor Sum 3,448,426
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #4749853 ← → #4749883

Radix Representation

Decimal 4749878
Binary 10010000111101000110110 (23 bits)
Octal 0o22075066
Hexadecimal 0x487A36

Divisor Catalog (16)

1 2 7 14 157 314 1,099 2,161 2,198 4,322 15,127 30,254 339,277 678,554 2,374,939 4,749,878

Collatz Trajectory (123 steps to reach 1)

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

4,749,878 2,374,939 7,124,818 3,562,409 10,687,228 5,343,614 2,671,807 8,015,422 4,007,711 12,023,134 6,011,567 18,034,702 9,017,351 27,052,054 13,526,027 40,578,082 20,289,041 60,867,124 30,433,562 15,216,781 45,650,344 22,825,172 11,412,586 5,706,293 17,118,880 8,559,440 4,279,720 2,139,860 1,069,930 534,965 1,604,896 802,448 401,224 200,612 100,306 50,153 150,460 75,230 37,615 112,846 56,423 169,270 84,635 253,906 126,953 380,860 190,430 95,215 285,646 142,823 428,470 214,235 642,706 321,353 964,060 482,030 241,015 723,046 361,523 1,084,570

More profiles

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