λ
Modular Archive

272,322

2 × 34 × 412
Abundant Even Composite

The decimal integer 272,322 is 1000010011111000010 in binary (19 bits), 1023702 in octal and 427C2 in hexadecimal. Its digit sum is 18.

Prime Factor Structure

Factorization String 2 × 3^4 × 41^2
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 625,449
Proper Divisor Sum 353,127
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #272317 ← → #272329

Radix Representation

Decimal 272322
Binary 1000010011111000010 (19 bits)
Octal 0o1023702
Hexadecimal 0x427C2

Divisor Catalog (30)

1 2 3 6 9 18 27 41 54 81 82 123 162 246 369 738 1,107 1,681 2,214 3,321 3,362 5,043 6,642 10,086 15,129 30,258 45,387 90,774 136,161 272,322

Collatz Trajectory (119 steps to reach 1)

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

272,322 136,161 408,484 204,242 102,121 306,364 153,182 76,591 229,774 114,887 344,662 172,331 516,994 258,497 775,492 387,746 193,873 581,620 290,810 145,405 436,216 218,108 109,054 54,527 163,582 81,791 245,374 122,687 368,062 184,031 552,094 276,047 828,142 414,071 1,242,214 621,107 1,863,322 931,661 2,794,984 1,397,492 698,746 349,373 1,048,120 524,060 262,030 131,015 393,046 196,523 589,570 294,785 884,356 442,178 221,089 663,268 331,634 165,817 497,452 248,726 124,363 373,090

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