λ
Prime Ledger

2,261,164

22 × 449 × 1259
Deficient Even Composite

2,261,164 has the prime decomposition 2^2 × 449 × 1259. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 449 × 1259
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 3,969,000
Proper Divisor Sum 1,707,836
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #2261143 ← → #2261173

Radix Representation

Decimal 2261164
Binary 1000101000000010101100 (22 bits)
Octal 0o10500254
Hexadecimal 0x2280AC

Divisor Catalog (12)

1 2 4 449 898 1,259 1,796 2,518 5,036 565,291 1,130,582 2,261,164

Collatz Trajectory (179 steps to reach 1)

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

2,261,164 1,130,582 565,291 1,695,874 847,937 2,543,812 1,271,906 635,953 1,907,860 953,930 476,965 1,430,896 715,448 357,724 178,862 89,431 268,294 134,147 402,442 201,221 603,664 301,832 150,916 75,458 37,729 113,188 56,594 28,297 84,892 42,446 21,223 63,670 31,835 95,506 47,753 143,260 71,630 35,815 107,446 53,723 161,170 80,585 241,756 120,878 60,439 181,318 90,659 271,978 135,989 407,968 203,984 101,992 50,996 25,498 12,749 38,248 19,124 9,562 4,781 14,344

More profiles

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