λ
Prime Ledger

148,491

32 × 7 × 2357
Deficient Odd Composite

148,491 has the prime decomposition 3^2 × 7 × 2357. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 7 × 2357
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 245,232
Proper Divisor Sum 96,741
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #148483 ← → #148501

Radix Representation

Decimal 148491
Binary 100100010000001011 (18 bits)
Octal 0o442013
Hexadecimal 0x2440B

Divisor Catalog (12)

1 3 7 9 21 63 2,357 7,071 16,499 21,213 49,497 148,491

Collatz Trajectory (113 steps to reach 1)

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

148,491 445,474 222,737 668,212 334,106 167,053 501,160 250,580 125,290 62,645 187,936 93,968 46,984 23,492 11,746 5,873 17,620 8,810 4,405 13,216 6,608 3,304 1,652 826 413 1,240 620 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958

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