λ
Sequence Observatory

2,049,071

2049071
Deficient Odd Prime

Starting at 2,049,071, the Collatz iteration reaches 1 after 166 steps. The first transition is 6147214; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 2049071
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,049,072
Proper Divisor Sum 1
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #2049067 ← → #2049077

Radix Representation

Decimal 2049071
Binary 111110100010000101111 (21 bits)
Octal 0o7642057
Hexadecimal 0x1F442F

Divisor Catalog (2)

Collatz Trajectory (166 steps to reach 1)

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

2,049,071 6,147,214 3,073,607 9,220,822 4,610,411 13,831,234 6,915,617 20,746,852 10,373,426 5,186,713 15,560,140 7,780,070 3,890,035 11,670,106 5,835,053 17,505,160 8,752,580 4,376,290 2,188,145 6,564,436 3,282,218 1,641,109 4,923,328 2,461,664 1,230,832 615,416 307,708 153,854 76,927 230,782 115,391 346,174 173,087 519,262 259,631 778,894 389,447 1,168,342 584,171 1,752,514 876,257 2,628,772 1,314,386 657,193 1,971,580 985,790 492,895 1,478,686 739,343 2,218,030 1,109,015 3,327,046 1,663,523 4,990,570 2,495,285 7,485,856 3,742,928 1,871,464 935,732 467,866

More profiles

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