λ
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Atlas › Integer Profiles › Node 2,012,540

2,012,540

22 × 5 × 47 × 2141
Abundant Even Composite

2,012,540 factors as 2^2 × 5 × 47 × 2141. Its 24 positive divisors give a proper-divisor sum of 2,305,732, so this integer is abundant. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 47 × 2141
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,318,272
Proper Divisor Sum 2,305,732
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #2012533 ← → #2012597

Radix Representation

Decimal 2012540
Binary 111101011010101111100 (21 bits)
Octal 0o7532574
Hexadecimal 0x1EB57C

Divisor Catalog (24)

1 2 4 5 10 20 47 94 188 235 470 940 2,141 4,282 8,564 10,705 21,410 42,820 100,627 201,254 402,508 503,135 1,006,270 2,012,540

Collatz Trajectory (91 steps to reach 1)

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

2,012,540 1,006,270 503,135 1,509,406 754,703 2,264,110 1,132,055 3,396,166 1,698,083 5,094,250 2,547,125 7,641,376 3,820,688 1,910,344 955,172 477,586 238,793 716,380 358,190 179,095 537,286 268,643 805,930 402,965 1,208,896 604,448 302,224 151,112 75,556 37,778 18,889 56,668 28,334 14,167 42,502 21,251 63,754 31,877 95,632 47,816 23,908 11,954 5,977 17,932 8,966 4,483 13,450 6,725 20,176 10,088 5,044 2,522 1,261 3,784 1,892 946 473 1,420 710 355

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