λ
Sequence Observatory

6,294,211

7 × 11 × 43 × 1901
Deficient Odd Composite

Starting at 6,294,211, the Collatz iteration reaches 1 after 134 steps. The first transition is 18882634; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 7 × 11 × 43 × 1901
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,034,048
Proper Divisor Sum 1,739,837
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #6294161 ← → #6294217

Radix Representation

Decimal 6294211
Binary 11000000000101011000011 (23 bits)
Octal 0o30005303
Hexadecimal 0x600AC3

Divisor Catalog (16)

1 7 11 43 77 301 473 1,901 3,311 13,307 20,911 81,743 146,377 572,201 899,173 6,294,211

Collatz Trajectory (134 steps to reach 1)

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

6,294,211 18,882,634 9,441,317 28,323,952 14,161,976 7,080,988 3,540,494 1,770,247 5,310,742 2,655,371 7,966,114 3,983,057 11,949,172 5,974,586 2,987,293 8,961,880 4,480,940 2,240,470 1,120,235 3,360,706 1,680,353 5,041,060 2,520,530 1,260,265 3,780,796 1,890,398 945,199 2,835,598 1,417,799 4,253,398 2,126,699 6,380,098 3,190,049 9,570,148 4,785,074 2,392,537 7,177,612 3,588,806 1,794,403 5,383,210 2,691,605 8,074,816 4,037,408 2,018,704 1,009,352 504,676 252,338 126,169 378,508 189,254 94,627 283,882 141,941 425,824 212,912 106,456 53,228 26,614 13,307 39,922

More profiles

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