λ
Prime Ledger

6,617,696

25 × 206803
Deficient Even Composite

6,617,696 has the prime decomposition 2^5 × 206803. Its 2 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 206803
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 13,028,652
Proper Divisor Sum 6,410,956
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #6617693 ← → #6617701

Radix Representation

Decimal 6617696
Binary 11001001111101001100000 (23 bits)
Octal 0o31175140
Hexadecimal 0x64FA60

Divisor Catalog (12)

1 2 4 8 16 32 206,803 413,606 827,212 1,654,424 3,308,848 6,617,696

Collatz Trajectory (147 steps to reach 1)

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

6,617,696 3,308,848 1,654,424 827,212 413,606 206,803 620,410 310,205 930,616 465,308 232,654 116,327 348,982 174,491 523,474 261,737 785,212 392,606 196,303 588,910 294,455 883,366 441,683 1,325,050 662,525 1,987,576 993,788 496,894 248,447 745,342 372,671 1,118,014 559,007 1,677,022 838,511 2,515,534 1,257,767 3,773,302 1,886,651 5,659,954 2,829,977 8,489,932 4,244,966 2,122,483 6,367,450 3,183,725 9,551,176 4,775,588 2,387,794 1,193,897 3,581,692 1,790,846 895,423 2,686,270 1,343,135 4,029,406 2,014,703 6,044,110 3,022,055 9,066,166

More profiles

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