λ
Sequence Observatory

6,525,638

2 × 7 × 29 × 16073
Deficient Even Composite

Starting at 6,525,638, the Collatz iteration reaches 1 after 196 steps. The first transition is 3262819; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 29 × 16073
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 11,573,280
Proper Divisor Sum 5,047,642
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #6525619 ← → #6525643

Radix Representation

Decimal 6525638
Binary 11000111001001011000110 (23 bits)
Octal 0o30711306
Hexadecimal 0x6392C6

Divisor Catalog (16)

1 2 7 14 29 58 203 406 16,073 32,146 112,511 225,022 466,117 932,234 3,262,819 6,525,638

Collatz Trajectory (196 steps to reach 1)

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

6,525,638 3,262,819 9,788,458 4,894,229 14,682,688 7,341,344 3,670,672 1,835,336 917,668 458,834 229,417 688,252 344,126 172,063 516,190 258,095 774,286 387,143 1,161,430 580,715 1,742,146 871,073 2,613,220 1,306,610 653,305 1,959,916 979,958 489,979 1,469,938 734,969 2,204,908 1,102,454 551,227 1,653,682 826,841 2,480,524 1,240,262 620,131 1,860,394 930,197 2,790,592 1,395,296 697,648 348,824 174,412 87,206 43,603 130,810 65,405 196,216 98,108 49,054 24,527 73,582 36,791 110,374 55,187 165,562 82,781 248,344

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