λ
Sequence Observatory

2,912,798

2 × 7 × 208057
Deficient Even Composite

Starting at 2,912,798, the Collatz iteration reaches 1 after 89 steps. The first transition is 1456399; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 208057
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,993,392
Proper Divisor Sum 2,080,594
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #2912783 ← → #2912803

Radix Representation

Decimal 2912798
Binary 1011000111001000011110 (22 bits)
Octal 0o13071036
Hexadecimal 0x2C721E

Divisor Catalog (8)

1 2 7 14 208,057 416,114 1,456,399 2,912,798

Collatz Trajectory (89 steps to reach 1)

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

2,912,798 1,456,399 4,369,198 2,184,599 6,553,798 3,276,899 9,830,698 4,915,349 14,746,048 7,373,024 3,686,512 1,843,256 921,628 460,814 230,407 691,222 345,611 1,036,834 518,417 1,555,252 777,626 388,813 1,166,440 583,220 291,610 145,805 437,416 218,708 109,354 54,677 164,032 82,016 41,008 20,504 10,252 5,126 2,563 7,690 3,845 11,536 5,768 2,884 1,442 721 2,164 1,082 541 1,624 812 406 203 610 305 916 458 229 688 344 172 86

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