λ
Sequence Observatory

6,633,459

32 × 7 × 71 × 1483
Deficient Odd Composite

Starting at 6,633,459, the Collatz iteration reaches 1 after 165 steps. The first transition is 19900378; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 7 × 71 × 1483
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 11,112,192
Proper Divisor Sum 4,478,733
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6633457 ← → #6633461

Radix Representation

Decimal 6633459
Binary 11001010011011111110011 (23 bits)
Octal 0o31233763
Hexadecimal 0x6537F3

Divisor Catalog (24)

1 3 7 9 21 63 71 213 497 639 1,483 1,491 4,449 4,473 10,381 13,347 31,143 93,429 105,293 315,879 737,051 947,637 2,211,153 6,633,459

Collatz Trajectory (165 steps to reach 1)

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

6,633,459 19,900,378 9,950,189 29,850,568 14,925,284 7,462,642 3,731,321 11,193,964 5,596,982 2,798,491 8,395,474 4,197,737 12,593,212 6,296,606 3,148,303 9,444,910 4,722,455 14,167,366 7,083,683 21,251,050 10,625,525 31,876,576 15,938,288 7,969,144 3,984,572 1,992,286 996,143 2,988,430 1,494,215 4,482,646 2,241,323 6,723,970 3,361,985 10,085,956 5,042,978 2,521,489 7,564,468 3,782,234 1,891,117 5,673,352 2,836,676 1,418,338 709,169 2,127,508 1,063,754 531,877 1,595,632 797,816 398,908 199,454 99,727 299,182 149,591 448,774 224,387 673,162 336,581 1,009,744 504,872 252,436

More profiles

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