λ
Sigma Notebook

720,488

23 × 113 × 797
Deficient Even Composite

720,488 is even and not a perfect square. Its factorization is 2^3 × 113 × 797 and its 16 divisors sum to 1,364,580.

Prime Factor Structure

Factorization String 2^3 × 113 × 797
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,364,580
Proper Divisor Sum 644,092
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #720481 ← → #720491

Radix Representation

Decimal 720488
Binary 10101111111001101000 (20 bits)
Octal 0o2577150
Hexadecimal 0xAFE68

Divisor Catalog (16)

1 2 4 8 113 226 452 797 904 1,594 3,188 6,376 90,061 180,122 360,244 720,488

Collatz Trajectory (118 steps to reach 1)

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

720,488 360,244 180,122 90,061 270,184 135,092 67,546 33,773 101,320 50,660 25,330 12,665 37,996 18,998 9,499 28,498 14,249 42,748 21,374 10,687 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 91,307 273,922 136,961 410,884 205,442 102,721 308,164 154,082 77,041 231,124 115,562 57,781 173,344 86,672 43,336 21,668 10,834 5,417 16,252 8,126 4,063 12,190 6,095 18,286 9,143 27,430

More profiles

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