λ
Sigma Notebook

1,964,760

23 × 3 × 5 × 7 × 2339
Abundant Even Composite

1,964,760 is even and not a perfect square. Its factorization is 2^3 × 3 × 5 × 7 × 2339 and its 64 divisors sum to 6,739,200.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 7 × 2339
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 6,739,200
Proper Divisor Sum 4,774,440
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1964723 ← → #1964773

Radix Representation

Decimal 1964760
Binary 111011111101011011000 (21 bits)
Octal 0o7375330
Hexadecimal 0x1DFAD8

Divisor Catalog (60 of 64)

1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 2,339 4,678 7,017 9,356 11,695 14,034 16,373 18,712 23,390 28,068 32,746 35,085 46,780 49,119 56,136 65,492 70,170 81,865 93,560 98,238 130,984 140,340 163,730 196,476 245,595 280,680 327,460 392,952

Collatz Trajectory (246 steps to reach 1)

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

1,964,760 982,380 491,190 245,595 736,786 368,393 1,105,180 552,590 276,295 828,886 414,443 1,243,330 621,665 1,864,996 932,498 466,249 1,398,748 699,374 349,687 1,049,062 524,531 1,573,594 786,797 2,360,392 1,180,196 590,098 295,049 885,148 442,574 221,287 663,862 331,931 995,794 497,897 1,493,692 746,846 373,423 1,120,270 560,135 1,680,406 840,203 2,520,610 1,260,305 3,780,916 1,890,458 945,229 2,835,688 1,417,844 708,922 354,461 1,063,384 531,692 265,846 132,923 398,770 199,385 598,156 299,078 149,539 448,618

More profiles

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