λ
Prime Ledger

2,710,341

34 × 33461
Deficient Odd Composite

2,710,341 has the prime decomposition 3^4 × 33461. Its 2 distinct prime factors produce 10 positive divisors.

Prime Factor Structure

Factorization String 3^4 × 33461
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 4,048,902
Proper Divisor Sum 1,338,561
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2710339 ← → #2710363

Radix Representation

Decimal 2710341
Binary 1010010101101101000101 (22 bits)
Octal 0o12255505
Hexadecimal 0x295B45

Divisor Catalog (10)

1 3 9 27 81 33,461 100,383 301,149 903,447 2,710,341

Collatz Trajectory (86 steps to reach 1)

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

2,710,341 8,131,024 4,065,512 2,032,756 1,016,378 508,189 1,524,568 762,284 381,142 190,571 571,714 285,857 857,572 428,786 214,393 643,180 321,590 160,795 482,386 241,193 723,580 361,790 180,895 542,686 271,343 814,030 407,015 1,221,046 610,523 1,831,570 915,785 2,747,356 1,373,678 686,839 2,060,518 1,030,259 3,090,778 1,545,389 4,636,168 2,318,084 1,159,042 579,521 1,738,564 869,282 434,641 1,303,924 651,962 325,981 977,944 488,972 244,486 122,243 366,730 183,365 550,096 275,048 137,524 68,762 34,381 103,144

More profiles

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