λ
Prime Ledger

988,353

32 × 193 × 569
Deficient Odd Composite

988,353 has the prime decomposition 3^2 × 193 × 569. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 193 × 569
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 1,437,540
Proper Divisor Sum 449,187
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #988343 ← → #988357

Radix Representation

Decimal 988353
Binary 11110001010011000001 (20 bits)
Octal 0o3612301
Hexadecimal 0xF14C1

Divisor Catalog (12)

1 3 9 193 569 579 1,707 1,737 5,121 109,817 329,451 988,353

Collatz Trajectory (90 steps to reach 1)

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

988,353 2,965,060 1,482,530 741,265 2,223,796 1,111,898 555,949 1,667,848 833,924 416,962 208,481 625,444 312,722 156,361 469,084 234,542 117,271 351,814 175,907 527,722 263,861 791,584 395,792 197,896 98,948 49,474 24,737 74,212 37,106 18,553 55,660 27,830 13,915 41,746 20,873 62,620 31,310 15,655 46,966 23,483 70,450 35,225 105,676 52,838 26,419 79,258 39,629 118,888 59,444 29,722 14,861 44,584 22,292 11,146 5,573 16,720 8,360 4,180 2,090 1,045

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