λ
Sequence Observatory

992,048

24 × 62003
Deficient Even Composite

Starting at 992,048, the Collatz iteration reaches 1 after 183 steps. The first transition is 496024; the starting value is even with 10 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 62003
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 1,922,124
Proper Divisor Sum 930,076
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #992023 ← → #992051

Radix Representation

Decimal 992048
Binary 11110010001100110000 (20 bits)
Octal 0o3621460
Hexadecimal 0xF2330

Divisor Catalog (10)

1 2 4 8 16 62,003 124,006 248,012 496,024 992,048

Collatz Trajectory (183 steps to reach 1)

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

992,048 496,024 248,012 124,006 62,003 186,010 93,005 279,016 139,508 69,754 34,877 104,632 52,316 26,158 13,079 39,238 19,619 58,858 29,429 88,288 44,144 22,072 11,036 5,518 2,759 8,278 4,139 12,418 6,209 18,628 9,314 4,657 13,972 6,986 3,493 10,480 5,240 2,620 1,310 655 1,966 983 2,950 1,475 4,426 2,213 6,640 3,320 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316

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