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Atlas › Integer Profiles › Node 17,837,150

17,837,150

2 × 52 × 532 × 127
Deficient Even Composite

17,837,150 factors as 2 × 5^2 × 53^2 × 127. Its 36 positive divisors give a proper-divisor sum of 16,244,002, so this integer is deficient. The Collatz stopping time is 195 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 53^2 × 127
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 34,081,152
Proper Divisor Sum 16,244,002
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #17837147 ← → #17837159

Radix Representation

Decimal 17837150
Binary 1000100000010110001011110 (25 bits)
Octal 0o104026136
Hexadecimal 0x1102C5E

Divisor Catalog (36)

1 2 5 10 25 50 53 106 127 254 265 530 635 1,270 1,325 2,650 2,809 3,175 5,618 6,350 6,731 13,462 14,045 28,090 33,655 67,310 70,225 140,450 168,275 336,550 356,743 713,486 1,783,715 3,567,430 8,918,575 17,837,150

Collatz Trajectory (195 steps to reach 1)

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

17,837,150 8,918,575 26,755,726 13,377,863 40,133,590 20,066,795 60,200,386 30,100,193 90,300,580 45,150,290 22,575,145 67,725,436 33,862,718 16,931,359 50,794,078 25,397,039 76,191,118 38,095,559 114,286,678 57,143,339 171,430,018 85,715,009 257,145,028 128,572,514 64,286,257 192,858,772 96,429,386 48,214,693 144,644,080 72,322,040 36,161,020 18,080,510 9,040,255 27,120,766 13,560,383 40,681,150 20,340,575 61,021,726 30,510,863 91,532,590 45,766,295 137,298,886 68,649,443 205,948,330 102,974,165 308,922,496 154,461,248 77,230,624 38,615,312 19,307,656 9,653,828 4,826,914 2,413,457 7,240,372 3,620,186 1,810,093 5,430,280 2,715,140 1,357,570 678,785

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