61,383,168

2⁹ × 3² × 7 × 11 × 173

Prime Factor Structure

Factorization String 2^9 × 3^2 × 7 × 11 × 173

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 240

Divisor Sum (σ) 222,146,496

Proper Divisor Sum 160,763,328

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #61383143 ← → #61383197

Radix Representation

Decimal	61383168
Binary	11101010001010001000000000 (26 bits)
Octal	0o352121000
Hexadecimal	0x3A8A200

Divisor Catalog (60 of 240)

1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 42 44 48 56 63 64 66 72 77 84 88 96 99 112 126 128 132 144 154 168 173 176 192 198 224 231 252 256 264 288 308 336 346 352 384 396 448 462 504 512

Collatz Trajectory (75 steps to reach 1)

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

61,383,168 30,691,584 15,345,792 7,672,896 3,836,448 1,918,224 959,112 479,556 239,778 119,889 359,668 179,834 89,917 269,752 134,876 67,438 33,719 101,158 50,579 151,738 75,869 227,608 113,804 56,902 28,451 85,354 42,677 128,032 64,016 32,008 16,004 8,002 4,001 12,004 6,002 3,001 9,004 4,502 2,251 6,754 3,377 10,132 5,066 2,533 7,600 3,800 1,900 950 475 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808

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