λ
Integer Codex

6,827,333

6827333
Deficient Odd Prime

For 6,827,333, the 2 positive divisors have a total of 6,827,334. Removing 6,827,333 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 6827333
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 6,827,334
Proper Divisor Sum 1
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #6827321 ← → #6827363

Radix Representation

Decimal 6827333
Binary 11010000010110101000101 (23 bits)
Octal 0o32026505
Hexadecimal 0x682D45

Divisor Catalog (2)

Collatz Trajectory (77 steps to reach 1)

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

6,827,333 20,482,000 10,241,000 5,120,500 2,560,250 1,280,125 3,840,376 1,920,188 960,094 480,047 1,440,142 720,071 2,160,214 1,080,107 3,240,322 1,620,161 4,860,484 2,430,242 1,215,121 3,645,364 1,822,682 911,341 2,734,024 1,367,012 683,506 341,753 1,025,260 512,630 256,315 768,946 384,473 1,153,420 576,710 288,355 865,066 432,533 1,297,600 648,800 324,400 162,200 81,100 40,550 20,275 60,826 30,413 91,240 45,620 22,810 11,405 34,216 17,108 8,554 4,277 12,832 6,416 3,208 1,604 802 401 1,204

More profiles

← Previous Integer #6,827,332 Browse Full Index Next Integer #6,827,334 →