4,016,142

2 × 3⁴ × 13 × 1907

4,016,142 has the prime decomposition 2 × 3^4 × 13 × 1907. Its 4 distinct prime factors produce 40 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^4 × 13 × 1907

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 9,696,456

Proper Divisor Sum 5,680,314

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #4016141 ← → #4016149

Radix Representation

Decimal	4016142
Binary	1111010100100000001110 (22 bits)
Octal	0o17244016
Hexadecimal	0x3D480E

Divisor Catalog (40)

1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 351 702 1,053 1,907 2,106 3,814 5,721 11,442 17,163 24,791 34,326 49,582 51,489 74,373 102,978 148,746 154,467 223,119 308,934 446,238 669,357 1,338,714 2,008,071 4,016,142

Collatz Trajectory (92 steps to reach 1)

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

4,016,142 2,008,071 6,024,214 3,012,107 9,036,322 4,518,161 13,554,484 6,777,242 3,388,621 10,165,864 5,082,932 2,541,466 1,270,733 3,812,200 1,906,100 953,050 476,525 1,429,576 714,788 357,394 178,697 536,092 268,046 134,023 402,070 201,035 603,106 301,553 904,660 452,330 226,165 678,496 339,248 169,624 84,812 42,406 21,203 63,610 31,805 95,416 47,708 23,854 11,927 35,782 17,891 53,674 26,837 80,512 40,256 20,128 10,064 5,032 2,516 1,258 629 1,888 944 472 236 118

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