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Atlas › Integer Profiles › Node 4,095,090

4,095,090

2 × 33 × 5 × 29 × 523
Abundant Even Composite

4,095,090 factors as 2 × 3^3 × 5 × 29 × 523. Its 64 positive divisors give a proper-divisor sum of 7,223,310, so this integer is abundant. The Collatz stopping time is 229 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 29 × 523
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 11,318,400
Proper Divisor Sum 7,223,310
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4095071 ← → #4095097

Radix Representation

Decimal 4095090
Binary 1111100111110001110010 (22 bits)
Octal 0o17476162
Hexadecimal 0x3E7C72

Divisor Catalog (60 of 64)

1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 87 90 135 145 174 261 270 290 435 522 523 783 870 1,046 1,305 1,566 1,569 2,610 2,615 3,138 3,915 4,707 5,230 7,830 7,845 9,414 14,121 15,167 15,690 23,535 28,242 30,334 45,501 47,070 70,605 75,835 91,002 136,503 141,210 151,670 227,505 273,006 409,509 455,010 682,515

Collatz Trajectory (229 steps to reach 1)

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

4,095,090 2,047,545 6,142,636 3,071,318 1,535,659 4,606,978 2,303,489 6,910,468 3,455,234 1,727,617 5,182,852 2,591,426 1,295,713 3,887,140 1,943,570 971,785 2,915,356 1,457,678 728,839 2,186,518 1,093,259 3,279,778 1,639,889 4,919,668 2,459,834 1,229,917 3,689,752 1,844,876 922,438 461,219 1,383,658 691,829 2,075,488 1,037,744 518,872 259,436 129,718 64,859 194,578 97,289 291,868 145,934 72,967 218,902 109,451 328,354 164,177 492,532 246,266 123,133 369,400 184,700 92,350 46,175 138,526 69,263 207,790 103,895 311,686 155,843

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