1,220,340

2² × 3 × 5 × 11 × 43²

1,220,340 is even and not a perfect square. Its factorization is 2^2 × 3 × 5 × 11 × 43^2 and its 72 divisors sum to 3,816,288.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 11 × 43^2

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 3,816,288

Proper Divisor Sum 2,595,948

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #1220333 ← → #1220347

Radix Representation

Decimal	1220340
Binary	100101001111011110100 (21 bits)
Octal	0o4517364
Hexadecimal	0x129EF4

Divisor Catalog (60 of 72)

1 2 3 4 5 6 10 11 12 15 20 22 30 33 43 44 55 60 66 86 110 129 132 165 172 215 220 258 330 430 473 516 645 660 860 946 1,290 1,419 1,849 1,892 2,365 2,580 2,838 3,698 4,730 5,547 5,676 7,095 7,396 9,245 9,460 11,094 14,190 18,490 20,339 22,188 27,735 28,380 36,980 40,678

Collatz Trajectory (111 steps to reach 1)

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

1,220,340 610,170 305,085 915,256 457,628 228,814 114,407 343,222 171,611 514,834 257,417 772,252 386,126 193,063 579,190 289,595 868,786 434,393 1,303,180 651,590 325,795 977,386 488,693 1,466,080 733,040 366,520 183,260 91,630 45,815 137,446 68,723 206,170 103,085 309,256 154,628 77,314 38,657 115,972 57,986 28,993 86,980 43,490 21,745 65,236 32,618 16,309 48,928 24,464 12,232 6,116 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291

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