λ
Sigma Notebook

1,467,625

53 × 59 × 199
Deficient Odd Composite

1,467,625 is odd and not a perfect square. Its factorization is 5^3 × 59 × 199 and its 16 divisors sum to 1,872,000.

Prime Factor Structure

Factorization String 5^3 × 59 × 199
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,872,000
Proper Divisor Sum 404,375
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #1467611 ← → #1467629

Radix Representation

Decimal 1467625
Binary 101100110010011101001 (21 bits)
Octal 0o5462351
Hexadecimal 0x1664E9

Divisor Catalog (16)

1 5 25 59 125 199 295 995 1,475 4,975 7,375 11,741 24,875 58,705 293,525 1,467,625

Collatz Trajectory (199 steps to reach 1)

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

1,467,625 4,402,876 2,201,438 1,100,719 3,302,158 1,651,079 4,953,238 2,476,619 7,429,858 3,714,929 11,144,788 5,572,394 2,786,197 8,358,592 4,179,296 2,089,648 1,044,824 522,412 261,206 130,603 391,810 195,905 587,716 293,858 146,929 440,788 220,394 110,197 330,592 165,296 82,648 41,324 20,662 10,331 30,994 15,497 46,492 23,246 11,623 34,870 17,435 52,306 26,153 78,460 39,230 19,615 58,846 29,423 88,270 44,135 132,406 66,203 198,610 99,305 297,916 148,958 74,479 223,438 111,719 335,158

More profiles

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