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Atlas › Integer Profiles › Node 8,097,700

8,097,700

22 × 52 × 13 × 6229
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5^2 × 13 × 6229
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 18,926,740
Proper Divisor Sum 10,829,040
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8097697 ← → #8097721

Radix Representation

Decimal 8097700
Binary 11110111000111110100100 (23 bits)
Octal 0o36707644
Hexadecimal 0x7B8FA4

Divisor Catalog (36)

1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1,300 6,229 12,458 24,916 31,145 62,290 80,977 124,580 155,725 161,954 311,450 323,908 404,885 622,900 809,770 1,619,540 2,024,425 4,048,850 8,097,700

Collatz Trajectory (142 steps to reach 1)

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

8,097,700 4,048,850 2,024,425 6,073,276 3,036,638 1,518,319 4,554,958 2,277,479 6,832,438 3,416,219 10,248,658 5,124,329 15,372,988 7,686,494 3,843,247 11,529,742 5,764,871 17,294,614 8,647,307 25,941,922 12,970,961 38,912,884 19,456,442 9,728,221 29,184,664 14,592,332 7,296,166 3,648,083 10,944,250 5,472,125 16,416,376 8,208,188 4,104,094 2,052,047 6,156,142 3,078,071 9,234,214 4,617,107 13,851,322 6,925,661 20,776,984 10,388,492 5,194,246 2,597,123 7,791,370 3,895,685 11,687,056 5,843,528 2,921,764 1,460,882 730,441 2,191,324 1,095,662 547,831 1,643,494 821,747 2,465,242 1,232,621 3,697,864 1,848,932

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