λ
Sequence Observatory

2,716,829

19 × 23 × 6217
Deficient Odd Composite

Starting at 2,716,829, the Collatz iteration reaches 1 after 112 steps. The first transition is 8150488; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 19 × 23 × 6217
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,984,640
Proper Divisor Sum 267,811
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #2716823 ← → #2716843

Radix Representation

Decimal 2716829
Binary 1010010111010010011101 (22 bits)
Octal 0o12272235
Hexadecimal 0x29749D

Divisor Catalog (8)

1 19 23 437 6,217 118,123 142,991 2,716,829

Collatz Trajectory (112 steps to reach 1)

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

2,716,829 8,150,488 4,075,244 2,037,622 1,018,811 3,056,434 1,528,217 4,584,652 2,292,326 1,146,163 3,438,490 1,719,245 5,157,736 2,578,868 1,289,434 644,717 1,934,152 967,076 483,538 241,769 725,308 362,654 181,327 543,982 271,991 815,974 407,987 1,223,962 611,981 1,835,944 917,972 458,986 229,493 688,480 344,240 172,120 86,060 43,030 21,515 64,546 32,273 96,820 48,410 24,205 72,616 36,308 18,154 9,077 27,232 13,616 6,808 3,404 1,702 851 2,554 1,277 3,832 1,916 958 479

More profiles

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