698,220

2² × 3⁴ × 5 × 431

698,220 is even and not a perfect square. Its factorization is 2^2 × 3^4 × 5 × 431 and its 60 divisors sum to 2,195,424.

Prime Factor Structure

Factorization String 2^2 × 3^4 × 5 × 431

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 2,195,424

Proper Divisor Sum 1,497,204

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #698183 ← → #698239

Radix Representation

Decimal	698220
Binary	10101010011101101100 (20 bits)
Octal	0o2523554
Hexadecimal	0xAA76C

Divisor Catalog (60)

1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 431 540 810 862 1,293 1,620 1,724 2,155 2,586 3,879 4,310 5,172 6,465 7,758 8,620 11,637 12,930 15,516 19,395 23,274 25,860 34,911 38,790 46,548 58,185 69,822 77,580 116,370 139,644 174,555 232,740 349,110 698,220

Collatz Trajectory (79 steps to reach 1)

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

698,220 349,110 174,555 523,666 261,833 785,500 392,750 196,375 589,126 294,563 883,690 441,845 1,325,536 662,768 331,384 165,692 82,846 41,423 124,270 62,135 186,406 93,203 279,610 139,805 419,416 209,708 104,854 52,427 157,282 78,641 235,924 117,962 58,981 176,944 88,472 44,236 22,118 11,059 33,178 16,589 49,768 24,884 12,442 6,221 18,664 9,332 4,666 2,333 7,000 3,500 1,750 875 2,626 1,313 3,940 1,970 985 2,956 1,478 739

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