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Atlas › Integer Profiles › Node 42,192,550

42,192,550

2 × 52 × 31 × 163 × 167
Deficient Even Composite

42,192,550 factors as 2 × 5^2 × 31 × 163 × 167. Its 48 positive divisors give a proper-divisor sum of 39,802,202, so this integer is deficient. The Collatz stopping time is 152 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 31 × 163 × 167
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 81,994,752
Proper Divisor Sum 39,802,202
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #42192547 ← → #42192551

Radix Representation

Decimal 42192550
Binary 10100000111100111010100110 (26 bits)
Octal 0o240747246
Hexadecimal 0x283CEA6

Divisor Catalog (48)

1 2 5 10 25 31 50 62 155 163 167 310 326 334 775 815 835 1,550 1,630 1,670 4,075 4,175 5,053 5,177 8,150 8,350 10,106 10,354 25,265 25,885 27,221 50,530 51,770 54,442 126,325 129,425 136,105 252,650 258,850 272,210 680,525 843,851 1,361,050 1,687,702 4,219,255 8,438,510 21,096,275 42,192,550

Collatz Trajectory (152 steps to reach 1)

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

42,192,550 21,096,275 63,288,826 31,644,413 94,933,240 47,466,620 23,733,310 11,866,655 35,599,966 17,799,983 53,399,950 26,699,975 80,099,926 40,049,963 120,149,890 60,074,945 180,224,836 90,112,418 45,056,209 135,168,628 67,584,314 33,792,157 101,376,472 50,688,236 25,344,118 12,672,059 38,016,178 19,008,089 57,024,268 28,512,134 14,256,067 42,768,202 21,384,101 64,152,304 32,076,152 16,038,076 8,019,038 4,009,519 12,028,558 6,014,279 18,042,838 9,021,419 27,064,258 13,532,129 40,596,388 20,298,194 10,149,097 30,447,292 15,223,646 7,611,823 22,835,470 11,417,735 34,253,206 17,126,603 51,379,810 25,689,905 77,069,716 38,534,858 19,267,429 57,802,288

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