7,181,152

2⁵ × 11 × 23 × 887

Starting at 7,181,152, the Collatz iteration reaches 1 after 266 steps. The first transition is 3590576; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 11 × 23 × 887

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 16,111,872

Proper Divisor Sum 8,930,720

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #7181149 ← → #7181171

Radix Representation

Decimal	7181152
Binary	11011011001001101100000 (23 bits)
Octal	0o33311540
Hexadecimal	0x6D9360

Divisor Catalog (48)

1 2 4 8 11 16 22 23 32 44 46 88 92 176 184 253 352 368 506 736 887 1,012 1,774 2,024 3,548 4,048 7,096 8,096 9,757 14,192 19,514 20,401 28,384 39,028 40,802 78,056 81,604 156,112 163,208 224,411 312,224 326,416 448,822 652,832 897,644 1,795,288 3,590,576 7,181,152

Collatz Trajectory (266 steps to reach 1)

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

7,181,152 3,590,576 1,795,288 897,644 448,822 224,411 673,234 336,617 1,009,852 504,926 252,463 757,390 378,695 1,136,086 568,043 1,704,130 852,065 2,556,196 1,278,098 639,049 1,917,148 958,574 479,287 1,437,862 718,931 2,156,794 1,078,397 3,235,192 1,617,596 808,798 404,399 1,213,198 606,599 1,819,798 909,899 2,729,698 1,364,849 4,094,548 2,047,274 1,023,637 3,070,912 1,535,456 767,728 383,864 191,932 95,966 47,983 143,950 71,975 215,926 107,963 323,890 161,945 485,836 242,918 121,459 364,378 182,189 546,568 273,284

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