2,115,204

2² × 3 × 7 × 13² × 149

2,115,204 factors as 2^2 × 3 × 7 × 13^2 × 149. Its 72 positive divisors give a proper-divisor sum of 4,033,596, so this integer is abundant. The Collatz stopping time is 104 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 13^2 × 149

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 6,148,800

Proper Divisor Sum 4,033,596

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #2115203 ← → #2115221

Radix Representation

Decimal	2115204
Binary	1000000100011010000100 (22 bits)
Octal	0o10043204
Hexadecimal	0x204684

Divisor Catalog (60 of 72)

1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 149 156 169 182 273 298 338 364 447 507 546 596 676 894 1,014 1,043 1,092 1,183 1,788 1,937 2,028 2,086 2,366 3,129 3,549 3,874 4,172 4,732 5,811 6,258 7,098 7,748 11,622 12,516 13,559 14,196 23,244 25,181 27,118 40,677 50,362 54,236

Collatz Trajectory (104 steps to reach 1)

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

2,115,204 1,057,602 528,801 1,586,404 793,202 396,601 1,189,804 594,902 297,451 892,354 446,177 1,338,532 669,266 334,633 1,003,900 501,950 250,975 752,926 376,463 1,129,390 564,695 1,694,086 847,043 2,541,130 1,270,565 3,811,696 1,905,848 952,924 476,462 238,231 714,694 357,347 1,072,042 536,021 1,608,064 804,032 402,016 201,008 100,504 50,252 25,126 12,563 37,690 18,845 56,536 28,268 14,134 7,067 21,202 10,601 31,804 15,902 7,951 23,854 11,927 35,782 17,891 53,674 26,837 80,512

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