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Atlas › Integer Profiles › Node 4,152,015

4,152,015

32 × 5 × 73 × 269
Abundant Odd Composite

4,152,015 factors as 3^2 × 5 × 7^3 × 269. Its 48 positive divisors give a proper-divisor sum of 4,271,985, so this integer is abundant. The Collatz stopping time is 198 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 7^3 × 269
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 8,424,000
Proper Divisor Sum 4,271,985
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #4151989 ← → #4152019

Radix Representation

Decimal 4152015
Binary 1111110101101011001111 (22 bits)
Octal 0o17655317
Hexadecimal 0x3F5ACF

Divisor Catalog (48)

1 3 5 7 9 15 21 35 45 49 63 105 147 245 269 315 343 441 735 807 1,029 1,345 1,715 1,883 2,205 2,421 3,087 4,035 5,145 5,649 9,415 12,105 13,181 15,435 16,947 28,245 39,543 65,905 84,735 92,267 118,629 197,715 276,801 461,335 593,145 830,403 1,384,005 4,152,015

Collatz Trajectory (198 steps to reach 1)

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

4,152,015 12,456,046 6,228,023 18,684,070 9,342,035 28,026,106 14,013,053 42,039,160 21,019,580 10,509,790 5,254,895 15,764,686 7,882,343 23,647,030 11,823,515 35,470,546 17,735,273 53,205,820 26,602,910 13,301,455 39,904,366 19,952,183 59,856,550 29,928,275 89,784,826 44,892,413 134,677,240 67,338,620 33,669,310 16,834,655 50,503,966 25,251,983 75,755,950 37,877,975 113,633,926 56,816,963 170,450,890 85,225,445 255,676,336 127,838,168 63,919,084 31,959,542 15,979,771 47,939,314 23,969,657 71,908,972 35,954,486 17,977,243 53,931,730 26,965,865 80,897,596 40,448,798 20,224,399 60,673,198 30,336,599 91,009,798 45,504,899 136,514,698 68,257,349 204,772,048

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