λ
Integer Codex

8,355,623

8355623
Deficient Odd Prime

For 8,355,623, the 2 positive divisors have a total of 8,355,624. Removing 8,355,623 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 8355623
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,355,624
Proper Divisor Sum 1
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #8355617 ← → #8355661

Radix Representation

Decimal 8355623
Binary 11111110111111100100111 (23 bits)
Octal 0o37677447
Hexadecimal 0x7F7F27

Divisor Catalog (2)

Collatz Trajectory (137 steps to reach 1)

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

8,355,623 25,066,870 12,533,435 37,600,306 18,800,153 56,400,460 28,200,230 14,100,115 42,300,346 21,150,173 63,450,520 31,725,260 15,862,630 7,931,315 23,793,946 11,896,973 35,690,920 17,845,460 8,922,730 4,461,365 13,384,096 6,692,048 3,346,024 1,673,012 836,506 418,253 1,254,760 627,380 313,690 156,845 470,536 235,268 117,634 58,817 176,452 88,226 44,113 132,340 66,170 33,085 99,256 49,628 24,814 12,407 37,222 18,611 55,834 27,917 83,752 41,876 20,938 10,469 31,408 15,704 7,852 3,926 1,963 5,890 2,945 8,836

More profiles

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