5,456,880

2⁴ × 3² × 5 × 11 × 13 × 53

Prime Factor Structure

Factorization String 2^4 × 3^2 × 5 × 11 × 13 × 53

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 240

Divisor Sum (σ) 21,936,096

Proper Divisor Sum 16,479,216

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #5456879 ← → #5456897

Radix Representation

Decimal	5456880
Binary	10100110100001111110000 (23 bits)
Octal	0o24641760
Hexadecimal	0x5343F0

Divisor Catalog (60 of 240)

1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 26 30 33 36 39 40 44 45 48 52 53 55 60 65 66 72 78 80 88 90 99 104 106 110 117 120 130 132 143 144 156 159 165 176 180 195 198 208 212 220 234 240

Collatz Trajectory (170 steps to reach 1)

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

5,456,880 2,728,440 1,364,220 682,110 341,055 1,023,166 511,583 1,534,750 767,375 2,302,126 1,151,063 3,453,190 1,726,595 5,179,786 2,589,893 7,769,680 3,884,840 1,942,420 971,210 485,605 1,456,816 728,408 364,204 182,102 91,051 273,154 136,577 409,732 204,866 102,433 307,300 153,650 76,825 230,476 115,238 57,619 172,858 86,429 259,288 129,644 64,822 32,411 97,234 48,617 145,852 72,926 36,463 109,390 54,695 164,086 82,043 246,130 123,065 369,196 184,598 92,299 276,898 138,449 415,348 207,674

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