λ
Integer Codex

6,380,790

2 × 3 × 5 × 13 × 16361
Abundant Even Composite

For 6,380,790, the 32 positive divisors have a total of 16,492,896. Removing 6,380,790 leaves 10,112,106, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 13 × 16361
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,492,896
Proper Divisor Sum 10,112,106
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6380749 ← → #6380819

Radix Representation

Decimal 6380790
Binary 11000010101110011110110 (23 bits)
Octal 0o30256366
Hexadecimal 0x615CF6

Divisor Catalog (32)

1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 16,361 32,722 49,083 81,805 98,166 163,610 212,693 245,415 425,386 490,830 638,079 1,063,465 1,276,158 2,126,930 3,190,395 6,380,790

Collatz Trajectory (103 steps to reach 1)

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

6,380,790 3,190,395 9,571,186 4,785,593 14,356,780 7,178,390 3,589,195 10,767,586 5,383,793 16,151,380 8,075,690 4,037,845 12,113,536 6,056,768 3,028,384 1,514,192 757,096 378,548 189,274 94,637 283,912 141,956 70,978 35,489 106,468 53,234 26,617 79,852 39,926 19,963 59,890 29,945 89,836 44,918 22,459 67,378 33,689 101,068 50,534 25,267 75,802 37,901 113,704 56,852 28,426 14,213 42,640 21,320 10,660 5,330 2,665 7,996 3,998 1,999 5,998 2,999 8,998 4,499 13,498 6,749

More profiles

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