2,084,004

2² × 3² × 13 × 61 × 73

2,084,004 has digital root 9. The neighboring primes are 2084003 and 2084009; its proper-divisor sum differs from the starting integer by 1,677,104.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 13 × 61 × 73

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 5,845,112

Proper Divisor Sum 3,761,108

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #2084003 ← → #2084009

Radix Representation

Decimal	2084004
Binary	111111100110010100100 (21 bits)
Octal	0o7746244
Hexadecimal	0x1FCCA4

Divisor Catalog (60 of 72)

1 2 3 4 6 9 12 13 18 26 36 39 52 61 73 78 117 122 146 156 183 219 234 244 292 366 438 468 549 657 732 793 876 949 1,098 1,314 1,586 1,898 2,196 2,379 2,628 2,847 3,172 3,796 4,453 4,758 5,694 7,137 8,541 8,906 9,516 11,388 13,359 14,274 17,082 17,812 26,718 28,548 34,164 40,077

Collatz Trajectory (228 steps to reach 1)

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

2,084,004 1,042,002 521,001 1,563,004 781,502 390,751 1,172,254 586,127 1,758,382 879,191 2,637,574 1,318,787 3,956,362 1,978,181 5,934,544 2,967,272 1,483,636 741,818 370,909 1,112,728 556,364 278,182 139,091 417,274 208,637 625,912 312,956 156,478 78,239 234,718 117,359 352,078 176,039 528,118 264,059 792,178 396,089 1,188,268 594,134 297,067 891,202 445,601 1,336,804 668,402 334,201 1,002,604 501,302 250,651 751,954 375,977 1,127,932 563,966 281,983 845,950 422,975 1,268,926 634,463 1,903,390 951,695 2,855,086

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