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Atlas › Integer Profiles › Node 67,989,220

67,989,220

22 × 5 × 13 × 19 × 13763
Abundant Even Composite

67,989,220 factors as 2^2 × 5 × 13 × 19 × 13763. Its 48 positive divisors give a proper-divisor sum of 93,875,420, so this integer is abundant. The Collatz stopping time is 153 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 13 × 19 × 13763
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 161,864,640
Proper Divisor Sum 93,875,420
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #67989199 ← → #67989221

Radix Representation

Decimal 67989220
Binary 100000011010110111011100100 (27 bits)
Octal 0o403267344
Hexadecimal 0x40D6EE4

Divisor Catalog (48)

1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 190 247 260 380 494 988 1,235 2,470 4,940 13,763 27,526 55,052 68,815 137,630 178,919 261,497 275,260 357,838 522,994 715,676 894,595 1,045,988 1,307,485 1,789,190 2,614,970 3,399,461 3,578,380 5,229,940 6,798,922 13,597,844 16,997,305 33,994,610 67,989,220

Collatz Trajectory (153 steps to reach 1)

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

67,989,220 33,994,610 16,997,305 50,991,916 25,495,958 12,747,979 38,243,938 19,121,969 57,365,908 28,682,954 14,341,477 43,024,432 21,512,216 10,756,108 5,378,054 2,689,027 8,067,082 4,033,541 12,100,624 6,050,312 3,025,156 1,512,578 756,289 2,268,868 1,134,434 567,217 1,701,652 850,826 425,413 1,276,240 638,120 319,060 159,530 79,765 239,296 119,648 59,824 29,912 14,956 7,478 3,739 11,218 5,609 16,828 8,414 4,207 12,622 6,311 18,934 9,467 28,402 14,201 42,604 21,302 10,651 31,954 15,977 47,932 23,966 11,983

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