λ
Sequence Observatory

5,573,953

7 × 11 × 191 × 379
Deficient Odd Composite

Starting at 5,573,953, the Collatz iteration reaches 1 after 201 steps. The first transition is 16721860; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 7 × 11 × 191 × 379
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,004,160
Proper Divisor Sum 1,430,207
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #5573947 ← → #5573969

Radix Representation

Decimal 5573953
Binary 10101010000110101000001 (23 bits)
Octal 0o25206501
Hexadecimal 0x550D41

Divisor Catalog (16)

1 7 11 77 191 379 1,337 2,101 2,653 4,169 14,707 29,183 72,389 506,723 796,279 5,573,953

Collatz Trajectory (201 steps to reach 1)

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

5,573,953 16,721,860 8,360,930 4,180,465 12,541,396 6,270,698 3,135,349 9,406,048 4,703,024 2,351,512 1,175,756 587,878 293,939 881,818 440,909 1,322,728 661,364 330,682 165,341 496,024 248,012 124,006 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

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