λ
Sequence Observatory

2,724,727

2724727
Deficient Odd Prime

Starting at 2,724,727, the Collatz iteration reaches 1 after 306 steps. The first transition is 8174182; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 2724727
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,724,728
Proper Divisor Sum 1
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2724721 ← → #2724739

Radix Representation

Decimal 2724727
Binary 1010011001001101110111 (22 bits)
Octal 0o12311567
Hexadecimal 0x299377

Divisor Catalog (2)

1 2,724,727

Collatz Trajectory (306 steps to reach 1)

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

2,724,727 8,174,182 4,087,091 12,261,274 6,130,637 18,391,912 9,195,956 4,597,978 2,298,989 6,896,968 3,448,484 1,724,242 862,121 2,586,364 1,293,182 646,591 1,939,774 969,887 2,909,662 1,454,831 4,364,494 2,182,247 6,546,742 3,273,371 9,820,114 4,910,057 14,730,172 7,365,086 3,682,543 11,047,630 5,523,815 16,571,446 8,285,723 24,857,170 12,428,585 37,285,756 18,642,878 9,321,439 27,964,318 13,982,159 41,946,478 20,973,239 62,919,718 31,459,859 94,379,578 47,189,789 141,569,368 70,784,684 35,392,342 17,696,171 53,088,514 26,544,257 79,632,772 39,816,386 19,908,193 59,724,580 29,862,290 14,931,145 44,793,436 22,396,718

More profiles

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