λ
Prime Ledger

4,980,729

3 × 13 × 127711
Deficient Odd Composite

4,980,729 has the prime decomposition 3 × 13 × 127711. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 13 × 127711
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,151,872
Proper Divisor Sum 2,171,143
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #4980727 ← → #4980749

Radix Representation

Decimal 4980729
Binary 10010111111111111111001 (23 bits)
Octal 0o22777771
Hexadecimal 0x4BFFF9

Divisor Catalog (8)

1 3 13 39 127,711 383,133 1,660,243 4,980,729

Collatz Trajectory (250 steps to reach 1)

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

4,980,729 14,942,188 7,471,094 3,735,547 11,206,642 5,603,321 16,809,964 8,404,982 4,202,491 12,607,474 6,303,737 18,911,212 9,455,606 4,727,803 14,183,410 7,091,705 21,275,116 10,637,558 5,318,779 15,956,338 7,978,169 23,934,508 11,967,254 5,983,627 17,950,882 8,975,441 26,926,324 13,463,162 6,731,581 20,194,744 10,097,372 5,048,686 2,524,343 7,573,030 3,786,515 11,359,546 5,679,773 17,039,320 8,519,660 4,259,830 2,129,915 6,389,746 3,194,873 9,584,620 4,792,310 2,396,155 7,188,466 3,594,233 10,782,700 5,391,350 2,695,675 8,087,026 4,043,513 12,130,540 6,065,270 3,032,635 9,097,906 4,548,953 13,646,860 6,823,430

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