λ
Prime Ledger

6,767,796

22 × 3 × 7 × 23 × 31 × 113
Abundant Even Composite

6,767,796 has the prime decomposition 2^2 × 3 × 7 × 23 × 31 × 113. Its 6 distinct prime factors produce 96 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 23 × 31 × 113
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 19,611,648
Proper Divisor Sum 12,843,852
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #6767753 ← → #6767797

Radix Representation

Decimal 6767796
Binary 11001110100010010110100 (23 bits)
Octal 0o31642264
Hexadecimal 0x6744B4

Divisor Catalog (60 of 96)

1 2 3 4 6 7 12 14 21 23 28 31 42 46 62 69 84 92 93 113 124 138 161 186 217 226 276 322 339 372 434 452 483 644 651 678 713 791 868 966 1,302 1,356 1,426 1,582 1,932 2,139 2,373 2,599 2,604 2,852 3,164 3,503 4,278 4,746 4,991 5,198 7,006 7,797 8,556 9,492

Collatz Trajectory (59 steps to reach 1)

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

6,767,796 3,383,898 1,691,949 5,075,848 2,537,924 1,268,962 634,481 1,903,444 951,722 475,861 1,427,584 713,792 356,896 178,448 89,224 44,612 22,306 11,153 33,460 16,730 8,365 25,096 12,548 6,274 3,137 9,412 4,706 2,353 7,060 3,530 1,765 5,296 2,648 1,324 662 331 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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