λ
Sequence Observatory

2,613,817

2613817
Deficient Odd Prime

Starting at 2,613,817, the Collatz iteration reaches 1 after 99 steps. The first transition is 7841452; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 2613817
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,613,818
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2613769 ← → #2613829

Radix Representation

Decimal 2613817
Binary 1001111110001000111001 (22 bits)
Octal 0o11761071
Hexadecimal 0x27E239

Divisor Catalog (2)

Collatz Trajectory (99 steps to reach 1)

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

2,613,817 7,841,452 3,920,726 1,960,363 5,881,090 2,940,545 8,821,636 4,410,818 2,205,409 6,616,228 3,308,114 1,654,057 4,962,172 2,481,086 1,240,543 3,721,630 1,860,815 5,582,446 2,791,223 8,373,670 4,186,835 12,560,506 6,280,253 18,840,760 9,420,380 4,710,190 2,355,095 7,065,286 3,532,643 10,597,930 5,298,965 15,896,896 7,948,448 3,974,224 1,987,112 993,556 496,778 248,389 745,168 372,584 186,292 93,146 46,573 139,720 69,860 34,930 17,465 52,396 26,198 13,099 39,298 19,649 58,948 29,474 14,737 44,212 22,106 11,053 33,160 16,580

More profiles

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