λ
Prime Ledger

6,877,005

3 × 5 × 37 × 12391
Deficient Odd Composite

6,877,005 has the prime decomposition 3 × 5 × 37 × 12391. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 37 × 12391
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 11,301,504
Proper Divisor Sum 4,424,499
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6876983 ← → #6877043

Radix Representation

Decimal 6877005
Binary 11010001110111101001101 (23 bits)
Octal 0o32167515
Hexadecimal 0x68EF4D

Divisor Catalog (16)

1 3 5 15 37 111 185 555 12,391 37,173 61,955 185,865 458,467 1,375,401 2,292,335 6,877,005

Collatz Trajectory (209 steps to reach 1)

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

6,877,005 20,631,016 10,315,508 5,157,754 2,578,877 7,736,632 3,868,316 1,934,158 967,079 2,901,238 1,450,619 4,351,858 2,175,929 6,527,788 3,263,894 1,631,947 4,895,842 2,447,921 7,343,764 3,671,882 1,835,941 5,507,824 2,753,912 1,376,956 688,478 344,239 1,032,718 516,359 1,549,078 774,539 2,323,618 1,161,809 3,485,428 1,742,714 871,357 2,614,072 1,307,036 653,518 326,759 980,278 490,139 1,470,418 735,209 2,205,628 1,102,814 551,407 1,654,222 827,111 2,481,334 1,240,667 3,722,002 1,861,001 5,583,004 2,791,502 1,395,751 4,187,254 2,093,627 6,280,882 3,140,441 9,421,324

More profiles

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