2,016,336

2⁴ × 3 × 7 × 17 × 353

2,016,336 factors as 2^4 × 3 × 7 × 17 × 353. Its 80 positive divisors give a proper-divisor sum of 4,304,688, so this integer is abundant. The Collatz stopping time is 135 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 7 × 17 × 353

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 6,321,024

Proper Divisor Sum 4,304,688

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #2016331 ← → #2016349

Radix Representation

Decimal	2016336
Binary	111101100010001010000 (21 bits)
Octal	0o7542120
Hexadecimal	0x1EC450

Divisor Catalog (60 of 80)

1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 272 336 353 357 408 476 706 714 816 952 1,059 1,412 1,428 1,904 2,118 2,471 2,824 2,856 4,236 4,942 5,648 5,712 6,001 7,413 8,472 9,884 12,002 14,826 16,944 18,003 19,768 24,004

Collatz Trajectory (135 steps to reach 1)

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

2,016,336 1,008,168 504,084 252,042 126,021 378,064 189,032 94,516 47,258 23,629 70,888 35,444 17,722 8,861 26,584 13,292 6,646 3,323 9,970 4,985 14,956 7,478 3,739 11,218 5,609 16,828 8,414 4,207 12,622 6,311 18,934 9,467 28,402 14,201 42,604 21,302 10,651 31,954 15,977 47,932 23,966 11,983 35,950 17,975 53,926 26,963 80,890 40,445 121,336 60,668 30,334 15,167 45,502 22,751 68,254 34,127 102,382 51,191 153,574 76,787

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