98,748

2² × 3² × 13 × 211

98,748 is even and not a perfect square. Its factorization is 2^2 × 3^2 × 13 × 211 and its 36 divisors sum to 270,088.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 13 × 211

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 270,088

Proper Divisor Sum 171,340

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #98737 ← → #98773

Radix Representation

Decimal	98748
Binary	11000000110111100 (17 bits)
Octal	0o300674
Hexadecimal	0x181BC

Divisor Catalog (36)

1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 211 234 422 468 633 844 1,266 1,899 2,532 2,743 3,798 5,486 7,596 8,229 10,972 16,458 24,687 32,916 49,374 98,748

Collatz Trajectory (190 steps to reach 1)

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

98,748 49,374 24,687 74,062 37,031 111,094 55,547 166,642 83,321 249,964 124,982 62,491 187,474 93,737 281,212 140,606 70,303 210,910 105,455 316,366 158,183 474,550 237,275 711,826 355,913 1,067,740 533,870 266,935 800,806 400,403 1,201,210 600,605 1,801,816 900,908 450,454 225,227 675,682 337,841 1,013,524 506,762 253,381 760,144 380,072 190,036 95,018 47,509 142,528 71,264 35,632 17,816 8,908 4,454 2,227 6,682 3,341 10,024 5,012 2,506 1,253 3,760

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