λ
Sequence Observatory

5,742,793

7 × 820399
Deficient Odd Composite

Starting at 5,742,793, the Collatz iteration reaches 1 after 214 steps. The first transition is 17228380; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 7 × 820399
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 6,563,200
Proper Divisor Sum 820,407
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #5742791 ← → #5742799

Radix Representation

Decimal 5742793
Binary 10101111010000011001001 (23 bits)
Octal 0o25720311
Hexadecimal 0x57A0C9

Divisor Catalog (4)

1 7 820,399 5,742,793

Collatz Trajectory (214 steps to reach 1)

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

5,742,793 17,228,380 8,614,190 4,307,095 12,921,286 6,460,643 19,381,930 9,690,965 29,072,896 14,536,448 7,268,224 3,634,112 1,817,056 908,528 454,264 227,132 113,566 56,783 170,350 85,175 255,526 127,763 383,290 191,645 574,936 287,468 143,734 71,867 215,602 107,801 323,404 161,702 80,851 242,554 121,277 363,832 181,916 90,958 45,479 136,438 68,219 204,658 102,329 306,988 153,494 76,747 230,242 115,121 345,364 172,682 86,341 259,024 129,512 64,756 32,378 16,189 48,568 24,284 12,142 6,071

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