42,121,210

2 × 5 × 4212121

42,121,210 factors as 2 × 5 × 4212121. Its 8 positive divisors give a proper-divisor sum of 33,696,986, so this integer is deficient. The Collatz stopping time is 152 steps.

Prime Factor Structure

Factorization String 2 × 5 × 4212121

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 75,818,196

Proper Divisor Sum 33,696,986

Digit Sum / Digital Root 13 (Root: 4)

Adjacent Primes #42121193 ← → #42121217

Radix Representation

Decimal	42121210
Binary	10100000101011011111111010 (26 bits)
Octal	0o240533772
Hexadecimal	0x282B7FA

Divisor Catalog (8)

1 2 5 10 4,212,121 8,424,242 21,060,605 42,121,210

Collatz Trajectory (152 steps to reach 1)

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

42,121,210 21,060,605 63,181,816 31,590,908 15,795,454 7,897,727 23,693,182 11,846,591 35,539,774 17,769,887 53,309,662 26,654,831 79,964,494 39,982,247 119,946,742 59,973,371 179,920,114 89,960,057 269,880,172 134,940,086 67,470,043 202,410,130 101,205,065 303,615,196 151,807,598 75,903,799 227,711,398 113,855,699 341,567,098 170,783,549 512,350,648 256,175,324 128,087,662 64,043,831 192,131,494 96,065,747 288,197,242 144,098,621 432,295,864 216,147,932 108,073,966 54,036,983 162,110,950 81,055,475 243,166,426 121,583,213 364,749,640 182,374,820 91,187,410 45,593,705 136,781,116 68,390,558 34,195,279 102,585,838 51,292,919 153,878,758 76,939,379 230,818,138 115,409,069 346,227,208

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