λ
Prime Ledger

988,333

23 × 97 × 443
Deficient Odd Composite

988,333 has the prime decomposition 23 × 97 × 443. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 23 × 97 × 443
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,044,288
Proper Divisor Sum 55,955
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #988321 ← → #988343

Radix Representation

Decimal 988333
Binary 11110001010010101101 (20 bits)
Octal 0o3612255
Hexadecimal 0xF14AD

Divisor Catalog (8)

1 23 97 443 2,231 10,189 42,971 988,333

Collatz Trajectory (121 steps to reach 1)

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

988,333 2,965,000 1,482,500 741,250 370,625 1,111,876 555,938 277,969 833,908 416,954 208,477 625,432 312,716 156,358 78,179 234,538 117,269 351,808 175,904 87,952 43,976 21,988 10,994 5,497 16,492 8,246 4,123 12,370 6,185 18,556 9,278 4,639 13,918 6,959 20,878 10,439 31,318 15,659 46,978 23,489 70,468 35,234 17,617 52,852 26,426 13,213 39,640 19,820 9,910 4,955 14,866 7,433 22,300 11,150 5,575 16,726 8,363 25,090 12,545 37,636

More profiles

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