84,242,420

2² × 5 × 4212121

84,242,420 factors as 2^2 × 5 × 4212121. Its 12 positive divisors give a proper-divisor sum of 92,666,704, so this integer is abundant. The Collatz stopping time is 153 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 4212121

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 176,909,124

Proper Divisor Sum 92,666,704

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #84242393 ← → #84242437

Radix Representation

Decimal	84242420
Binary	101000001010110111111110100 (27 bits)
Octal	0o501267764
Hexadecimal	0x5056FF4

Divisor Catalog (12)

1 2 4 5 10 20 4,212,121 8,424,242 16,848,484 21,060,605 42,121,210 84,242,420

Collatz Trajectory (153 steps to reach 1)

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

84,242,420 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

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