λ
Prime Ledger

6,779,515

5 × 17 × 47 × 1697
Deficient Odd Composite

6,779,515 has the prime decomposition 5 × 17 × 47 × 1697. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 17 × 47 × 1697
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,802,432
Proper Divisor Sum 2,022,917
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #6779501 ← → #6779519

Radix Representation

Decimal 6779515
Binary 11001110111001001111011 (23 bits)
Octal 0o31671173
Hexadecimal 0x67727B

Divisor Catalog (16)

1 5 17 47 85 235 799 1,697 3,995 8,485 28,849 79,759 144,245 398,795 1,355,903 6,779,515

Collatz Trajectory (160 steps to reach 1)

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

6,779,515 20,338,546 10,169,273 30,507,820 15,253,910 7,626,955 22,880,866 11,440,433 34,321,300 17,160,650 8,580,325 25,740,976 12,870,488 6,435,244 3,217,622 1,608,811 4,826,434 2,413,217 7,239,652 3,619,826 1,809,913 5,429,740 2,714,870 1,357,435 4,072,306 2,036,153 6,108,460 3,054,230 1,527,115 4,581,346 2,290,673 6,872,020 3,436,010 1,718,005 5,154,016 2,577,008 1,288,504 644,252 322,126 161,063 483,190 241,595 724,786 362,393 1,087,180 543,590 271,795 815,386 407,693 1,223,080 611,540 305,770 152,885 458,656 229,328 114,664 57,332 28,666 14,333 43,000

More profiles

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