λ
Prime Ledger

2,609,809

2609809
Deficient Odd Prime

2,609,809 has the prime decomposition 2609809. Its 1 distinct prime factor produce 2 positive divisors.

Prime Factor Structure

Factorization String 2609809
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,609,810
Proper Divisor Sum 1
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #2609791 ← → #2609813

Radix Representation

Decimal 2609809
Binary 1001111101001010010001 (22 bits)
Octal 0o11751221
Hexadecimal 0x27D291

Divisor Catalog (2)

Collatz Trajectory (218 steps to reach 1)

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

2,609,809 7,829,428 3,914,714 1,957,357 5,872,072 2,936,036 1,468,018 734,009 2,202,028 1,101,014 550,507 1,651,522 825,761 2,477,284 1,238,642 619,321 1,857,964 928,982 464,491 1,393,474 696,737 2,090,212 1,045,106 522,553 1,567,660 783,830 391,915 1,175,746 587,873 1,763,620 881,810 440,905 1,322,716 661,358 330,679 992,038 496,019 1,488,058 744,029 2,232,088 1,116,044 558,022 279,011 837,034 418,517 1,255,552 627,776 313,888 156,944 78,472 39,236 19,618 9,809 29,428 14,714 7,357 22,072 11,036 5,518 2,759

More profiles

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