498,537

3² × 13 × 4261

498,537 is odd and not a perfect square. Its factorization is 3^2 × 13 × 4261 and its 12 divisors sum to 775,684.

Prime Factor Structure

Factorization String 3^2 × 13 × 4261

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 775,684

Proper Divisor Sum 277,147

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #498527 ← → #498551

Radix Representation

Decimal	498537
Binary	1111001101101101001 (19 bits)
Octal	0o1715551
Hexadecimal	0x79B69

Divisor Catalog (12)

1 3 9 13 39 117 4,261 12,783 38,349 55,393 166,179 498,537

Collatz Trajectory (120 steps to reach 1)

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

498,537 1,495,612 747,806 373,903 1,121,710 560,855 1,682,566 841,283 2,523,850 1,261,925 3,785,776 1,892,888 946,444 473,222 236,611 709,834 354,917 1,064,752 532,376 266,188 133,094 66,547 199,642 99,821 299,464 149,732 74,866 37,433 112,300 56,150 28,075 84,226 42,113 126,340 63,170 31,585 94,756 47,378 23,689 71,068 35,534 17,767 53,302 26,651 79,954 39,977 119,932 59,966 29,983 89,950 44,975 134,926 67,463 202,390 101,195 303,586 151,793 455,380 227,690 113,845

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