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Atlas › Integer Profiles › Node 46,952,150

46,952,150

2 × 52 × 7 × 163 × 823
Abundant Even Composite

46,952,150 factors as 2 × 5^2 × 7 × 163 × 823. Its 48 positive divisors give a proper-divisor sum of 53,589,034, so this integer is abundant. The Collatz stopping time is 248 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 7 × 163 × 823
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 100,541,184
Proper Divisor Sum 53,589,034
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #46952137 ← → #46952153

Radix Representation

Decimal 46952150
Binary 10110011000110111011010110 (26 bits)
Octal 0o263067326
Hexadecimal 0x2CC6ED6

Divisor Catalog (48)

1 2 5 7 10 14 25 35 50 70 163 175 326 350 815 823 1,141 1,630 1,646 2,282 4,075 4,115 5,705 5,761 8,150 8,230 11,410 11,522 20,575 28,525 28,805 41,150 57,050 57,610 134,149 144,025 268,298 288,050 670,745 939,043 1,341,490 1,878,086 3,353,725 4,695,215 6,707,450 9,390,430 23,476,075 46,952,150

Collatz Trajectory (248 steps to reach 1)

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

46,952,150 23,476,075 70,428,226 35,214,113 105,642,340 52,821,170 26,410,585 79,231,756 39,615,878 19,807,939 59,423,818 29,711,909 89,135,728 44,567,864 22,283,932 11,141,966 5,570,983 16,712,950 8,356,475 25,069,426 12,534,713 37,604,140 18,802,070 9,401,035 28,203,106 14,101,553 42,304,660 21,152,330 10,576,165 31,728,496 15,864,248 7,932,124 3,966,062 1,983,031 5,949,094 2,974,547 8,923,642 4,461,821 13,385,464 6,692,732 3,346,366 1,673,183 5,019,550 2,509,775 7,529,326 3,764,663 11,293,990 5,646,995 16,940,986 8,470,493 25,411,480 12,705,740 6,352,870 3,176,435 9,529,306 4,764,653 14,293,960 7,146,980 3,573,490 1,786,745

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