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Atlas › Integer Profiles › Node 67,914,340

67,914,340

22 × 5 × 132 × 71 × 283
Abundant Even Composite

67,914,340 factors as 2^2 × 5 × 13^2 × 71 × 283. Its 72 positive divisors give a proper-divisor sum of 89,248,988, so this integer is abundant. The Collatz stopping time is 127 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 13^2 × 71 × 283
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 157,163,328
Proper Divisor Sum 89,248,988
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #67914307 ← → #67914347

Radix Representation

Decimal 67914340
Binary 100000011000100101001100100 (27 bits)
Octal 0o403045144
Hexadecimal 0x40C4A64

Divisor Catalog (60 of 72)

1 2 4 5 10 13 20 26 52 65 71 130 142 169 260 283 284 338 355 566 676 710 845 923 1,132 1,415 1,420 1,690 1,846 2,830 3,380 3,679 3,692 4,615 5,660 7,358 9,230 11,999 14,716 18,395 18,460 20,093 23,998 36,790 40,186 47,827 47,996 59,995 73,580 80,372 95,654 100,465 119,990 191,308 200,930 239,135 239,980 261,209 401,860 478,270

Collatz Trajectory (127 steps to reach 1)

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

67,914,340 33,957,170 16,978,585 50,935,756 25,467,878 12,733,939 38,201,818 19,100,909 57,302,728 28,651,364 14,325,682 7,162,841 21,488,524 10,744,262 5,372,131 16,116,394 8,058,197 24,174,592 12,087,296 6,043,648 3,021,824 1,510,912 755,456 377,728 188,864 94,432 47,216 23,608 11,804 5,902 2,951 8,854 4,427 13,282 6,641 19,924 9,962 4,981 14,944 7,472 3,736 1,868 934 467 1,402 701 2,104 1,052 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334

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