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Atlas › Integer Profiles › Node 33,282,980

33,282,980

22 × 5 × 37 × 41 × 1097
Abundant Even Composite

33,282,980 factors as 2^2 × 5 × 37 × 41 × 1097. Its 48 positive divisors give a proper-divisor sum of 40,318,156, so this integer is abundant. The Collatz stopping time is 157 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 37 × 41 × 1097
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 73,601,136
Proper Divisor Sum 40,318,156
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #33282979 ← → #33283031

Radix Representation

Decimal 33282980
Binary 1111110111101101110100100 (25 bits)
Octal 0o176755644
Hexadecimal 0x1FBDBA4

Divisor Catalog (48)

1 2 4 5 10 20 37 41 74 82 148 164 185 205 370 410 740 820 1,097 1,517 2,194 3,034 4,388 5,485 6,068 7,585 10,970 15,170 21,940 30,340 40,589 44,977 81,178 89,954 162,356 179,908 202,945 224,885 405,890 449,770 811,780 899,540 1,664,149 3,328,298 6,656,596 8,320,745 16,641,490 33,282,980

Collatz Trajectory (157 steps to reach 1)

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

33,282,980 16,641,490 8,320,745 24,962,236 12,481,118 6,240,559 18,721,678 9,360,839 28,082,518 14,041,259 42,123,778 21,061,889 63,185,668 31,592,834 15,796,417 47,389,252 23,694,626 11,847,313 35,541,940 17,770,970 8,885,485 26,656,456 13,328,228 6,664,114 3,332,057 9,996,172 4,998,086 2,499,043 7,497,130 3,748,565 11,245,696 5,622,848 2,811,424 1,405,712 702,856 351,428 175,714 87,857 263,572 131,786 65,893 197,680 98,840 49,420 24,710 12,355 37,066 18,533 55,600 27,800 13,900 6,950 3,475 10,426 5,213 15,640 7,820 3,910 1,955 5,866

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