λ
Prime Ledger

2,666,192

24 × 71 × 2347
Deficient Even Composite

2,666,192 has the prime decomposition 2^4 × 71 × 2347. Its 3 distinct prime factors produce 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 71 × 2347
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 5,240,736
Proper Divisor Sum 2,574,544
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #2666177 ← → #2666197

Radix Representation

Decimal 2666192
Binary 1010001010111011010000 (22 bits)
Octal 0o12127320
Hexadecimal 0x28AED0

Divisor Catalog (20)

1 2 4 8 16 71 142 284 568 1,136 2,347 4,694 9,388 18,776 37,552 166,637 333,274 666,548 1,333,096 2,666,192

Collatz Trajectory (117 steps to reach 1)

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

2,666,192 1,333,096 666,548 333,274 166,637 499,912 249,956 124,978 62,489 187,468 93,734 46,867 140,602 70,301 210,904 105,452 52,726 26,363 79,090 39,545 118,636 59,318 29,659 88,978 44,489 133,468 66,734 33,367 100,102 50,051 150,154 75,077 225,232 112,616 56,308 28,154 14,077 42,232 21,116 10,558 5,279 15,838 7,919 23,758 11,879 35,638 17,819 53,458 26,729 80,188 40,094 20,047 60,142 30,071 90,214 45,107 135,322 67,661 202,984 101,492

More profiles

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