2,396,160

2¹² × 3² × 5 × 13

For 2,396,160, the 156 positive divisors have a total of 8,944,572. Removing 2,396,160 leaves 6,548,412, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^12 × 3^2 × 5 × 13

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 156

Divisor Sum (σ) 8,944,572

Proper Divisor Sum 6,548,412

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2396153 ← → #2396171

Radix Representation

Decimal	2396160
Binary	1001001001000000000000 (22 bits)
Octal	0o11110000
Hexadecimal	0x249000

Divisor Catalog (60 of 156)

1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 64 65 72 78 80 90 96 104 117 120 128 130 144 156 160 180 192 195 208 234 240 256 260 288 312 320 360 384 390 416 468 480 512 520

Collatz Trajectory (68 steps to reach 1)

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

2,396,160 1,198,080 599,040 299,520 149,760 74,880 37,440 18,720 9,360 4,680 2,340 1,170 585 1,756 878 439 1,318 659 1,978 989 2,968 1,484 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13

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