λ
Sigma Notebook

8,899,215

3 × 5 × 13 × 47 × 971
Deficient Odd Composite

8,899,215 is odd and not a perfect square. Its factorization is 3 × 5 × 13 × 47 × 971 and its 32 divisors sum to 15,676,416.

Prime Factor Structure

Factorization String 3 × 5 × 13 × 47 × 971
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,676,416
Proper Divisor Sum 6,777,201
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #8899213 ← → #8899217

Radix Representation

Decimal 8899215
Binary 100001111100101010001111 (24 bits)
Octal 0o41745217
Hexadecimal 0x87CA8F

Divisor Catalog (32)

1 3 5 13 15 39 47 65 141 195 235 611 705 971 1,833 2,913 3,055 4,855 9,165 12,623 14,565 37,869 45,637 63,115 136,911 189,345 228,185 593,281 684,555 1,779,843 2,966,405 8,899,215

Collatz Trajectory (168 steps to reach 1)

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

8,899,215 26,697,646 13,348,823 40,046,470 20,023,235 60,069,706 30,034,853 90,104,560 45,052,280 22,526,140 11,263,070 5,631,535 16,894,606 8,447,303 25,341,910 12,670,955 38,012,866 19,006,433 57,019,300 28,509,650 14,254,825 42,764,476 21,382,238 10,691,119 32,073,358 16,036,679 48,110,038 24,055,019 72,165,058 36,082,529 108,247,588 54,123,794 27,061,897 81,185,692 40,592,846 20,296,423 60,889,270 30,444,635 91,333,906 45,666,953 137,000,860 68,500,430 34,250,215 102,750,646 51,375,323 154,125,970 77,062,985 231,188,956 115,594,478 57,797,239 173,391,718 86,695,859 260,087,578 130,043,789 390,131,368 195,065,684 97,532,842 48,766,421 146,299,264 73,149,632

More profiles

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