λ
Harmonic Matrix

6,828,071

6828071
Deficient Odd Prime

6,828,071 has digital root 5. The neighboring primes are 6828061 and 6828077; its proper-divisor sum differs from the starting integer by -6,828,070.

Prime Factor Structure

Factorization String 6828071
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 6,828,072
Proper Divisor Sum 1
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #6828061 ← → #6828077

Radix Representation

Decimal 6828071
Binary 11010000011000000100111 (23 bits)
Octal 0o32030047
Hexadecimal 0x683027

Divisor Catalog (2)

Collatz Trajectory (129 steps to reach 1)

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

6,828,071 20,484,214 10,242,107 30,726,322 15,363,161 46,089,484 23,044,742 11,522,371 34,567,114 17,283,557 51,850,672 25,925,336 12,962,668 6,481,334 3,240,667 9,722,002 4,861,001 14,583,004 7,291,502 3,645,751 10,937,254 5,468,627 16,405,882 8,202,941 24,608,824 12,304,412 6,152,206 3,076,103 9,228,310 4,614,155 13,842,466 6,921,233 20,763,700 10,381,850 5,190,925 15,572,776 7,786,388 3,893,194 1,946,597 5,839,792 2,919,896 1,459,948 729,974 364,987 1,094,962 547,481 1,642,444 821,222 410,611 1,231,834 615,917 1,847,752 923,876 461,938 230,969 692,908 346,454 173,227 519,682 259,841

More profiles

← Previous Integer #6,828,070 Browse Full Index Next Integer #6,828,072 →