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Atlas › Integer Profiles › Node 4,085,490

4,085,490

2 × 3 × 5 × 23 × 31 × 191
Abundant Even Composite

4,085,490 factors as 2 × 3 × 5 × 23 × 31 × 191. Its 64 positive divisors give a proper-divisor sum of 6,531,342, so this integer is abundant. The Collatz stopping time is 216 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 23 × 31 × 191
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 10,616,832
Proper Divisor Sum 6,531,342
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4085489 ← → #4085507

Radix Representation

Decimal 4085490
Binary 1111100101011011110010 (22 bits)
Octal 0o17453362
Hexadecimal 0x3E56F2

Divisor Catalog (60 of 64)

1 2 3 5 6 10 15 23 30 31 46 62 69 93 115 138 155 186 191 230 310 345 382 465 573 690 713 930 955 1,146 1,426 1,910 2,139 2,865 3,565 4,278 4,393 5,730 5,921 7,130 8,786 10,695 11,842 13,179 17,763 21,390 21,965 26,358 29,605 35,526 43,930 59,210 65,895 88,815 131,790 136,183 177,630 272,366 408,549 680,915

Collatz Trajectory (216 steps to reach 1)

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

4,085,490 2,042,745 6,128,236 3,064,118 1,532,059 4,596,178 2,298,089 6,894,268 3,447,134 1,723,567 5,170,702 2,585,351 7,756,054 3,878,027 11,634,082 5,817,041 17,451,124 8,725,562 4,362,781 13,088,344 6,544,172 3,272,086 1,636,043 4,908,130 2,454,065 7,362,196 3,681,098 1,840,549 5,521,648 2,760,824 1,380,412 690,206 345,103 1,035,310 517,655 1,552,966 776,483 2,329,450 1,164,725 3,494,176 1,747,088 873,544 436,772 218,386 109,193 327,580 163,790 81,895 245,686 122,843 368,530 184,265 552,796 276,398 138,199 414,598 207,299 621,898 310,949 932,848

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