2,047,920

2⁴ × 3 × 5 × 7 × 23 × 53

2,047,920 factors as 2^4 × 3 × 5 × 7 × 23 × 53. Its 160 positive divisors give a proper-divisor sum of 5,665,872, so this integer is abundant. The Collatz stopping time is 197 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 7 × 23 × 53

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 160

Divisor Sum (σ) 7,713,792

Proper Divisor Sum 5,665,872

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #2047919 ← → #2047933

Radix Representation

Decimal	2047920
Binary	111110011111110110000 (21 bits)
Octal	0o7637660
Hexadecimal	0x1F3FB0

Divisor Catalog (60 of 160)

1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 23 24 28 30 35 40 42 46 48 53 56 60 69 70 80 84 92 105 106 112 115 120 138 140 159 161 168 184 210 212 230 240 265 276 280 318 322 336 345 368 371 420 424 460 483

Collatz Trajectory (197 steps to reach 1)

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

2,047,920 1,023,960 511,980 255,990 127,995 383,986 191,993 575,980 287,990 143,995 431,986 215,993 647,980 323,990 161,995 485,986 242,993 728,980 364,490 182,245 546,736 273,368 136,684 68,342 34,171 102,514 51,257 153,772 76,886 38,443 115,330 57,665 172,996 86,498 43,249 129,748 64,874 32,437 97,312 48,656 24,328 12,164 6,082 3,041 9,124 4,562 2,281 6,844 3,422 1,711 5,134 2,567 7,702 3,851 11,554 5,777 17,332 8,666 4,333 13,000

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