λ
Sequence Observatory

2,791,513

2791513
Deficient Odd Prime

Starting at 2,791,513, the Collatz iteration reaches 1 after 169 steps. The first transition is 8374540; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 2791513
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,791,514
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2791501 ← → #2791531

Radix Representation

Decimal 2791513
Binary 1010101001100001011001 (22 bits)
Octal 0o12514131
Hexadecimal 0x2A9859

Divisor Catalog (2)

Collatz Trajectory (169 steps to reach 1)

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

2,791,513 8,374,540 4,187,270 2,093,635 6,280,906 3,140,453 9,421,360 4,710,680 2,355,340 1,177,670 588,835 1,766,506 883,253 2,649,760 1,324,880 662,440 331,220 165,610 82,805 248,416 124,208 62,104 31,052 15,526 7,763 23,290 11,645 34,936 17,468 8,734 4,367 13,102 6,551 19,654 9,827 29,482 14,741 44,224 22,112 11,056 5,528 2,764 1,382 691 2,074 1,037 3,112 1,556 778 389 1,168 584 292 146 73 220 110 55 166 83

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