λ
Sequence Observatory

2,132,372

22 × 11 × 48463
Deficient Even Composite

Starting at 2,132,372, the Collatz iteration reaches 1 after 96 steps. The first transition is 1066186; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 11 × 48463
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 4,070,976
Proper Divisor Sum 1,938,604
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #2132371 ← → #2132381

Radix Representation

Decimal 2132372
Binary 1000001000100110010100 (22 bits)
Octal 0o10104624
Hexadecimal 0x208994

Divisor Catalog (12)

1 2 4 11 22 44 48,463 96,926 193,852 533,093 1,066,186 2,132,372

Collatz Trajectory (96 steps to reach 1)

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

2,132,372 1,066,186 533,093 1,599,280 799,640 399,820 199,910 99,955 299,866 149,933 449,800 224,900 112,450 56,225 168,676 84,338 42,169 126,508 63,254 31,627 94,882 47,441 142,324 71,162 35,581 106,744 53,372 26,686 13,343 40,030 20,015 60,046 30,023 90,070 45,035 135,106 67,553 202,660 101,330 50,665 151,996 75,998 37,999 113,998 56,999 170,998 85,499 256,498 128,249 384,748 192,374 96,187 288,562 144,281 432,844 216,422 108,211 324,634 162,317 486,952

More profiles

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