λ
Modular Archive

338,148

22 × 33 × 31 × 101
Abundant Even Composite

The decimal integer 338,148 is 1010010100011100100 in binary (19 bits), 1224344 in octal and 528E4 in hexadecimal. Its digit sum is 27.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 31 × 101
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 913,920
Proper Divisor Sum 575,772
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #338141 ← → #338153

Radix Representation

Decimal 338148
Binary 1010010100011100100 (19 bits)
Octal 0o1224344
Hexadecimal 0x528E4

Divisor Catalog (48)

1 2 3 4 6 9 12 18 27 31 36 54 62 93 101 108 124 186 202 279 303 372 404 558 606 837 909 1,116 1,212 1,674 1,818 2,727 3,131 3,348 3,636 5,454 6,262 9,393 10,908 12,524 18,786 28,179 37,572 56,358 84,537 112,716 169,074 338,148

Collatz Trajectory (135 steps to reach 1)

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

338,148 169,074 84,537 253,612 126,806 63,403 190,210 95,105 285,316 142,658 71,329 213,988 106,994 53,497 160,492 80,246 40,123 120,370 60,185 180,556 90,278 45,139 135,418 67,709 203,128 101,564 50,782 25,391 76,174 38,087 114,262 57,131 171,394 85,697 257,092 128,546 64,273 192,820 96,410 48,205 144,616 72,308 36,154 18,077 54,232 27,116 13,558 6,779 20,338 10,169 30,508 15,254 7,627 22,882 11,441 34,324 17,162 8,581 25,744 12,872

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