λ
Sigma Notebook

8,304,513

3 × 7 × 395453
Deficient Odd Composite

8,304,513 is odd and not a perfect square. Its factorization is 3 × 7 × 395453 and its 8 divisors sum to 12,654,528.

Prime Factor Structure

Factorization String 3 × 7 × 395453
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,654,528
Proper Divisor Sum 4,350,015
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #8304503 ← → #8304557

Radix Representation

Decimal 8304513
Binary 11111101011011110000001 (23 bits)
Octal 0o37533601
Hexadecimal 0x7EB781

Divisor Catalog (8)

1 3 7 21 395,453 1,186,359 2,768,171 8,304,513

Collatz Trajectory (199 steps to reach 1)

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

8,304,513 24,913,540 12,456,770 6,228,385 18,685,156 9,342,578 4,671,289 14,013,868 7,006,934 3,503,467 10,510,402 5,255,201 15,765,604 7,882,802 3,941,401 11,824,204 5,912,102 2,956,051 8,868,154 4,434,077 13,302,232 6,651,116 3,325,558 1,662,779 4,988,338 2,494,169 7,482,508 3,741,254 1,870,627 5,611,882 2,805,941 8,417,824 4,208,912 2,104,456 1,052,228 526,114 263,057 789,172 394,586 197,293 591,880 295,940 147,970 73,985 221,956 110,978 55,489 166,468 83,234 41,617 124,852 62,426 31,213 93,640 46,820 23,410 11,705 35,116 17,558 8,779

More profiles

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