8,097,152

2⁷ × 7² × 1291

8,097,152 is even and not a perfect square. Its factorization is 2^7 × 7^2 × 1291 and its 48 divisors sum to 18,779,220.

Prime Factor Structure

Factorization String 2^7 × 7^2 × 1291

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 18,779,220

Proper Divisor Sum 10,682,068

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #8097143 ← → #8097161

Radix Representation

Decimal	8097152
Binary	11110111000110110000000 (23 bits)
Octal	0o36706600
Hexadecimal	0x7B8D80

Divisor Catalog (48)

1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 784 896 1,291 1,568 2,582 3,136 5,164 6,272 9,037 10,328 18,074 20,656 36,148 41,312 63,259 72,296 82,624 126,518 144,592 165,248 253,036 289,184 506,072 578,368 1,012,144 1,156,736 2,024,288 4,048,576 8,097,152

Collatz Trajectory (137 steps to reach 1)

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

8,097,152 4,048,576 2,024,288 1,012,144 506,072 253,036 126,518 63,259 189,778 94,889 284,668 142,334 71,167 213,502 106,751 320,254 160,127 480,382 240,191 720,574 360,287 1,080,862 540,431 1,621,294 810,647 2,431,942 1,215,971 3,647,914 1,823,957 5,471,872 2,735,936 1,367,968 683,984 341,992 170,996 85,498 42,749 128,248 64,124 32,062 16,031 48,094 24,047 72,142 36,071 108,214 54,107 162,322 81,161 243,484 121,742 60,871 182,614 91,307 273,922 136,961 410,884 205,442 102,721 308,164

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