λ
Sigma Notebook

1,218,288

24 × 3 × 17 × 1493
Abundant Even Composite

1,218,288 is even and not a perfect square. Its factorization is 2^4 × 3 × 17 × 1493 and its 40 divisors sum to 3,334,608.

Prime Factor Structure

Factorization String 2^4 × 3 × 17 × 1493
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 3,334,608
Proper Divisor Sum 2,116,320
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1218281 ← → #1218307

Radix Representation

Decimal 1218288
Binary 100101001011011110000 (21 bits)
Octal 0o4513360
Hexadecimal 0x1296F0

Divisor Catalog (40)

1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 1,493 2,986 4,479 5,972 8,958 11,944 17,916 23,888 25,381 35,832 50,762 71,664 76,143 101,524 152,286 203,048 304,572 406,096 609,144 1,218,288

Collatz Trajectory (59 steps to reach 1)

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

1,218,288 609,144 304,572 152,286 76,143 228,430 114,215 342,646 171,323 513,970 256,985 770,956 385,478 192,739 578,218 289,109 867,328 433,664 216,832 108,416 54,208 27,104 13,552 6,776 3,388 1,694 847 2,542 1,271 3,814 1,907 5,722 2,861 8,584 4,292 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

More profiles

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