λ
Sigma Notebook

714,544

24 × 17 × 37 × 71
Abundant Even Composite

714,544 is even and not a perfect square. Its factorization is 2^4 × 17 × 37 × 71 and its 40 divisors sum to 1,526,688.

Prime Factor Structure

Factorization String 2^4 × 17 × 37 × 71
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 1,526,688
Proper Divisor Sum 812,144
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #714529 ← → #714551

Radix Representation

Decimal 714544
Binary 10101110011100110000 (20 bits)
Octal 0o2563460
Hexadecimal 0xAE730

Divisor Catalog (40)

1 2 4 8 16 17 34 37 68 71 74 136 142 148 272 284 296 568 592 629 1,136 1,207 1,258 2,414 2,516 2,627 4,828 5,032 5,254 9,656 10,064 10,508 19,312 21,016 42,032 44,659 89,318 178,636 357,272 714,544

Collatz Trajectory (118 steps to reach 1)

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

714,544 357,272 178,636 89,318 44,659 133,978 66,989 200,968 100,484 50,242 25,121 75,364 37,682 18,841 56,524 28,262 14,131 42,394 21,197 63,592 31,796 15,898 7,949 23,848 11,924 5,962 2,981 8,944 4,472 2,236 1,118 559 1,678 839 2,518 1,259 3,778 1,889 5,668 2,834 1,417 4,252 2,126 1,063 3,190 1,595 4,786 2,393 7,180 3,590 1,795 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516 758

More profiles

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