λ
Sequence Observatory

2,996,128

25 × 93629
Deficient Even Composite

Starting at 2,996,128, the Collatz iteration reaches 1 after 182 steps. The first transition is 1498064; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 93629
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 5,898,690
Proper Divisor Sum 2,902,562
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #2996117 ← → #2996153

Radix Representation

Decimal 2996128
Binary 1011011011011110100000 (22 bits)
Octal 0o13333640
Hexadecimal 0x2DB7A0

Divisor Catalog (12)

1 2 4 8 16 32 93,629 187,258 374,516 749,032 1,498,064 2,996,128

Collatz Trajectory (182 steps to reach 1)

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

2,996,128 1,498,064 749,032 374,516 187,258 93,629 280,888 140,444 70,222 35,111 105,334 52,667 158,002 79,001 237,004 118,502 59,251 177,754 88,877 266,632 133,316 66,658 33,329 99,988 49,994 24,997 74,992 37,496 18,748 9,374 4,687 14,062 7,031 21,094 10,547 31,642 15,821 47,464 23,732 11,866 5,933 17,800 8,900 4,450 2,225 6,676 3,338 1,669 5,008 2,504 1,252 626 313 940 470 235 706 353 1,060 530

More profiles

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