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Atlas › Integer Profiles › Node 55,522,096

55,522,096

24 × 73 × 67 × 151
Abundant Even Composite

55,522,096 factors as 2^4 × 7^3 × 67 × 151. Its 80 positive divisors give a proper-divisor sum of 72,644,304, so this integer is abundant. The Collatz stopping time is 194 steps.

Prime Factor Structure

Factorization String 2^4 × 7^3 × 67 × 151
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 128,166,400
Proper Divisor Sum 72,644,304
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #55522091 ← → #55522099

Radix Representation

Decimal 55522096
Binary 11010011110011001100110000 (26 bits)
Octal 0o323631460
Hexadecimal 0x34F3330

Divisor Catalog (60 of 80)

1 2 4 7 8 14 16 28 49 56 67 98 112 134 151 196 268 302 343 392 469 536 604 686 784 938 1,057 1,072 1,208 1,372 1,876 2,114 2,416 2,744 3,283 3,752 4,228 5,488 6,566 7,399 7,504 8,456 10,117 13,132 14,798 16,912 20,234 22,981 26,264 29,596 40,468 45,962 51,793 52,528 59,192 70,819 80,936 91,924 103,586 118,384

Collatz Trajectory (194 steps to reach 1)

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

55,522,096 27,761,048 13,880,524 6,940,262 3,470,131 10,410,394 5,205,197 15,615,592 7,807,796 3,903,898 1,951,949 5,855,848 2,927,924 1,463,962 731,981 2,195,944 1,097,972 548,986 274,493 823,480 411,740 205,870 102,935 308,806 154,403 463,210 231,605 694,816 347,408 173,704 86,852 43,426 21,713 65,140 32,570 16,285 48,856 24,428 12,214 6,107 18,322 9,161 27,484 13,742 6,871 20,614 10,307 30,922 15,461 46,384 23,192 11,596 5,798 2,899 8,698 4,349 13,048 6,524 3,262 1,631

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