λ
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Atlas › Integer Profiles › Node 2,013,702

2,013,702

2 × 3 × 29 × 71 × 163
Abundant Even Composite

2,013,702 factors as 2 × 3 × 29 × 71 × 163. Its 32 positive divisors give a proper-divisor sum of 2,237,178, so this integer is abundant. The Collatz stopping time is 215 steps.

Prime Factor Structure

Factorization String 2 × 3 × 29 × 71 × 163
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,250,880
Proper Divisor Sum 2,237,178
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #2013679 ← → #2013703

Radix Representation

Decimal 2013702
Binary 111101011101000000110 (21 bits)
Octal 0o7535006
Hexadecimal 0x1EBA06

Divisor Catalog (32)

1 2 3 6 29 58 71 87 142 163 174 213 326 426 489 978 2,059 4,118 4,727 6,177 9,454 11,573 12,354 14,181 23,146 28,362 34,719 69,438 335,617 671,234 1,006,851 2,013,702

Collatz Trajectory (215 steps to reach 1)

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

2,013,702 1,006,851 3,020,554 1,510,277 4,530,832 2,265,416 1,132,708 566,354 283,177 849,532 424,766 212,383 637,150 318,575 955,726 477,863 1,433,590 716,795 2,150,386 1,075,193 3,225,580 1,612,790 806,395 2,419,186 1,209,593 3,628,780 1,814,390 907,195 2,721,586 1,360,793 4,082,380 2,041,190 1,020,595 3,061,786 1,530,893 4,592,680 2,296,340 1,148,170 574,085 1,722,256 861,128 430,564 215,282 107,641 322,924 161,462 80,731 242,194 121,097 363,292 181,646 90,823 272,470 136,235 408,706 204,353 613,060 306,530 153,265 459,796

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