λ
Sequence Observatory

1,921,106

2 × 11 × 87323
Deficient Even Composite

Starting at 1,921,106, the Collatz iteration reaches 1 after 96 steps. The first transition is 960553; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 11 × 87323
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,143,664
Proper Divisor Sum 1,222,558
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #1921103 ← → #1921123

Radix Representation

Decimal 1921106
Binary 111010101000001010010 (21 bits)
Octal 0o7250122
Hexadecimal 0x1D5052

Divisor Catalog (8)

1 2 11 22 87,323 174,646 960,553 1,921,106

Collatz Trajectory (96 steps to reach 1)

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

1,921,106 960,553 2,881,660 1,440,830 720,415 2,161,246 1,080,623 3,241,870 1,620,935 4,862,806 2,431,403 7,294,210 3,647,105 10,941,316 5,470,658 2,735,329 8,205,988 4,102,994 2,051,497 6,154,492 3,077,246 1,538,623 4,615,870 2,307,935 6,923,806 3,461,903 10,385,710 5,192,855 15,578,566 7,789,283 23,367,850 11,683,925 35,051,776 17,525,888 8,762,944 4,381,472 2,190,736 1,095,368 547,684 273,842 136,921 410,764 205,382 102,691 308,074 154,037 462,112 231,056 115,528 57,764 28,882 14,441 43,324 21,662 10,831 32,494 16,247 48,742 24,371 73,114

More profiles

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