λ
Prime Ledger

2,615,379

3 × 13 × 67061
Deficient Odd Composite

2,615,379 has the prime decomposition 3 × 13 × 67061. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 13 × 67061
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,755,472
Proper Divisor Sum 1,140,093
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2615359 ← → #2615383

Radix Representation

Decimal 2615379
Binary 1001111110100001010011 (22 bits)
Octal 0o11764123
Hexadecimal 0x27E853

Divisor Catalog (8)

1 3 13 39 67,061 201,183 871,793 2,615,379

Collatz Trajectory (99 steps to reach 1)

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

2,615,379 7,846,138 3,923,069 11,769,208 5,884,604 2,942,302 1,471,151 4,413,454 2,206,727 6,620,182 3,310,091 9,930,274 4,965,137 14,895,412 7,447,706 3,723,853 11,171,560 5,585,780 2,792,890 1,396,445 4,189,336 2,094,668 1,047,334 523,667 1,571,002 785,501 2,356,504 1,178,252 589,126 294,563 883,690 441,845 1,325,536 662,768 331,384 165,692 82,846 41,423 124,270 62,135 186,406 93,203 279,610 139,805 419,416 209,708 104,854 52,427 157,282 78,641 235,924 117,962 58,981 176,944 88,472 44,236 22,118 11,059 33,178 16,589

More profiles

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