λ
Modular Archive

2,241,216

26 × 33 × 1297
Abundant Even Composite

The decimal integer 2,241,216 is 1000100011001011000000 in binary (22 bits), 10431300 in octal and 2232C0 in hexadecimal. Its digit sum is 18.

Prime Factor Structure

Factorization String 2^6 × 3^3 × 1297
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 6,593,840
Proper Divisor Sum 4,352,624
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2241209 ← → #2241247

Radix Representation

Decimal 2241216
Binary 1000100011001011000000 (22 bits)
Octal 0o10431300
Hexadecimal 0x2232C0

Divisor Catalog (56)

1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1,297 1,728 2,594 3,891 5,188 7,782 10,376 11,673 15,564 20,752 23,346 31,128 35,019 41,504 46,692 62,256 70,038 83,008 93,384 124,512 140,076 186,768 249,024 280,152 373,536 560,304 747,072 1,120,608 2,241,216

Collatz Trajectory (86 steps to reach 1)

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

2,241,216 1,120,608 560,304 280,152 140,076 70,038 35,019 105,058 52,529 157,588 78,794 39,397 118,192 59,096 29,548 14,774 7,387 22,162 11,081 33,244 16,622 8,311 24,934 12,467 37,402 18,701 56,104 28,052 14,026 7,013 21,040 10,520 5,260 2,630 1,315 3,946 1,973 5,920 2,960 1,480 740 370 185 556 278 139 418 209 628 314 157 472 236 118 59 178 89 268 134 67

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