λ
Sequence Observatory

2,309,129

2309129
Deficient Odd Prime

Starting at 2,309,129, the Collatz iteration reaches 1 after 161 steps. The first transition is 6927388; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 2309129
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,309,130
Proper Divisor Sum 1
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #2309123 ← → #2309147

Radix Representation

Decimal 2309129
Binary 1000110011110000001001 (22 bits)
Octal 0o10636011
Hexadecimal 0x233C09

Divisor Catalog (2)

Collatz Trajectory (161 steps to reach 1)

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

2,309,129 6,927,388 3,463,694 1,731,847 5,195,542 2,597,771 7,793,314 3,896,657 11,689,972 5,844,986 2,922,493 8,767,480 4,383,740 2,191,870 1,095,935 3,287,806 1,643,903 4,931,710 2,465,855 7,397,566 3,698,783 11,096,350 5,548,175 16,644,526 8,322,263 24,966,790 12,483,395 37,450,186 18,725,093 56,175,280 28,087,640 14,043,820 7,021,910 3,510,955 10,532,866 5,266,433 15,799,300 7,899,650 3,949,825 11,849,476 5,924,738 2,962,369 8,887,108 4,443,554 2,221,777 6,665,332 3,332,666 1,666,333 4,999,000 2,499,500 1,249,750 624,875 1,874,626 937,313 2,811,940 1,405,970 702,985 2,108,956 1,054,478 527,239

More profiles

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