λ
Matchaa Zalai

4,888,209

3 × 59 × 27617
Deficient Odd Composite

4,888,209 factors as 3 × 59 × 27617. Its 8 positive divisors give a proper-divisor sum of 1,740,111, so this integer is deficient. The Collatz stopping time is 162 steps.

Prime Factor Structure

Factorization String 3 × 59 × 27617
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,628,320
Proper Divisor Sum 1,740,111
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #4888199 ← → #4888217

Radix Representation

Decimal 4888209
Binary 10010101001011010010001 (23 bits)
Octal 0o22513221
Hexadecimal 0x4A9691

Divisor Catalog (8)

1 3 59 177 27,617 82,851 1,629,403 4,888,209

Collatz Trajectory (162 steps to reach 1)

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

4,888,209 14,664,628 7,332,314 3,666,157 10,998,472 5,499,236 2,749,618 1,374,809 4,124,428 2,062,214 1,031,107 3,093,322 1,546,661 4,639,984 2,319,992 1,159,996 579,998 289,999 869,998 434,999 1,304,998 652,499 1,957,498 978,749 2,936,248 1,468,124 734,062 367,031 1,101,094 550,547 1,651,642 825,821 2,477,464 1,238,732 619,366 309,683 929,050 464,525 1,393,576 696,788 348,394 174,197 522,592 261,296 130,648 65,324 32,662 16,331 48,994 24,497 73,492 36,746 18,373 55,120 27,560 13,780 6,890 3,445 10,336 5,168

More profiles

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