λ
Sigma Notebook

975,384

23 × 32 × 19 × 23 × 31
Abundant Even Composite

975,384 is even and not a perfect square. Its factorization is 2^3 × 3^2 × 19 × 23 × 31 and its 96 divisors sum to 2,995,200.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 19 × 23 × 31
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 2,995,200
Proper Divisor Sum 2,019,816
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #975383 ← → #975389

Radix Representation

Decimal 975384
Binary 11101110001000011000 (20 bits)
Octal 0o3561030
Hexadecimal 0xEE218

Divisor Catalog (60 of 96)

1 2 3 4 6 8 9 12 18 19 23 24 31 36 38 46 57 62 69 72 76 92 93 114 124 138 152 171 184 186 207 228 248 276 279 342 372 414 437 456 552 558 589 684 713 744 828 874 1,116 1,178 1,311 1,368 1,426 1,656 1,748 1,767 2,139 2,232 2,356 2,622

Collatz Trajectory (183 steps to reach 1)

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

975,384 487,692 243,846 121,923 365,770 182,885 548,656 274,328 137,164 68,582 34,291 102,874 51,437 154,312 77,156 38,578 19,289 57,868 28,934 14,467 43,402 21,701 65,104 32,552 16,276 8,138 4,069 12,208 6,104 3,052 1,526 763 2,290 1,145 3,436 1,718 859 2,578 1,289 3,868 1,934 967 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208

More profiles

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