λ
Prime Ledger

198,365

5 × 97 × 409
Deficient Odd Composite

198,365 has the prime decomposition 5 × 97 × 409. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 97 × 409
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 241,080
Proper Divisor Sum 42,715
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #198349 ← → #198377

Radix Representation

Decimal 198365
Binary 110000011011011101 (18 bits)
Octal 0o603335
Hexadecimal 0x306DD

Divisor Catalog (8)

1 5 97 409 485 2,045 39,673 198,365

Collatz Trajectory (67 steps to reach 1)

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

198,365 595,096 297,548 148,774 74,387 223,162 111,581 334,744 167,372 83,686 41,843 125,530 62,765 188,296 94,148 47,074 23,537 70,612 35,306 17,653 52,960 26,480 13,240 6,620 3,310 1,655 4,966 2,483 7,450 3,725 11,176 5,588 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40

More profiles

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