λ
Prime Ledger

7,620,176

24 × 23 × 20707
Abundant Even Composite

7,620,176 has the prime decomposition 2^4 × 23 × 20707. Its 3 distinct prime factors produce 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 23 × 20707
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 15,406,752
Proper Divisor Sum 7,786,576
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #7620169 ← → #7620191

Radix Representation

Decimal 7620176
Binary 11101000100011001010000 (23 bits)
Octal 0o35043120
Hexadecimal 0x744650

Divisor Catalog (20)

1 2 4 8 16 23 46 92 184 368 20,707 41,414 82,828 165,656 331,312 476,261 952,522 1,905,044 3,810,088 7,620,176

Collatz Trajectory (80 steps to reach 1)

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

7,620,176 3,810,088 1,905,044 952,522 476,261 1,428,784 714,392 357,196 178,598 89,299 267,898 133,949 401,848 200,924 100,462 50,231 150,694 75,347 226,042 113,021 339,064 169,532 84,766 42,383 127,150 63,575 190,726 95,363 286,090 143,045 429,136 214,568 107,284 53,642 26,821 80,464 40,232 20,116 10,058 5,029 15,088 7,544 3,772 1,886 943 2,830 1,415 4,246 2,123 6,370 3,185 9,556 4,778 2,389 7,168 3,584 1,792 896 448 224

More profiles

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