λ
Modular Archive

336,138

2 × 3 × 112 × 463
Abundant Even Composite

The decimal integer 336,138 is 1010010000100001010 in binary (19 bits), 1220412 in octal and 5210A in hexadecimal. Its digit sum is 24.

Prime Factor Structure

Factorization String 2 × 3 × 11^2 × 463
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 740,544
Proper Divisor Sum 404,406
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #336121 ← → #336143

Radix Representation

Decimal 336138
Binary 1010010000100001010 (19 bits)
Octal 0o1220412
Hexadecimal 0x5210A

Divisor Catalog (24)

1 2 3 6 11 22 33 66 121 242 363 463 726 926 1,389 2,778 5,093 10,186 15,279 30,558 56,023 112,046 168,069 336,138

Collatz Trajectory (91 steps to reach 1)

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

336,138 168,069 504,208 252,104 126,052 63,026 31,513 94,540 47,270 23,635 70,906 35,453 106,360 53,180 26,590 13,295 39,886 19,943 59,830 29,915 89,746 44,873 134,620 67,310 33,655 100,966 50,483 151,450 75,725 227,176 113,588 56,794 28,397 85,192 42,596 21,298 10,649 31,948 15,974 7,987 23,962 11,981 35,944 17,972 8,986 4,493 13,480 6,740 3,370 1,685 5,056 2,528 1,264 632 316 158 79 238 119 358

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