λ
Prime Ledger

1,320,292

22 × 23 × 113 × 127
Deficient Even Composite

1,320,292 has the prime decomposition 2^2 × 23 × 113 × 127. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 23 × 113 × 127
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,451,456
Proper Divisor Sum 1,131,164
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #1320287 ← → #1320301

Radix Representation

Decimal 1320292
Binary 101000010010101100100 (21 bits)
Octal 0o5022544
Hexadecimal 0x142564

Divisor Catalog (24)

1 2 4 23 46 92 113 127 226 254 452 508 2,599 2,921 5,198 5,842 10,396 11,684 14,351 28,702 57,404 330,073 660,146 1,320,292

Collatz Trajectory (217 steps to reach 1)

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

1,320,292 660,146 330,073 990,220 495,110 247,555 742,666 371,333 1,114,000 557,000 278,500 139,250 69,625 208,876 104,438 52,219 156,658 78,329 234,988 117,494 58,747 176,242 88,121 264,364 132,182 66,091 198,274 99,137 297,412 148,706 74,353 223,060 111,530 55,765 167,296 83,648 41,824 20,912 10,456 5,228 2,614 1,307 3,922 1,961 5,884 2,942 1,471 4,414 2,207 6,622 3,311 9,934 4,967 14,902 7,451 22,354 11,177 33,532 16,766 8,383

More profiles

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