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Atlas › Integer Profiles › Node 13,360,540

13,360,540

22 × 5 × 197 × 3391
Abundant Even Composite

13,360,540 factors as 2^2 × 5 × 197 × 3391. Its 24 positive divisors give a proper-divisor sum of 14,847,332, so this integer is abundant. The Collatz stopping time is 254 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 197 × 3391
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 28,207,872
Proper Divisor Sum 14,847,332
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #13360531 ← → #13360577

Radix Representation

Decimal 13360540
Binary 110010111101110110011100 (24 bits)
Octal 0o62756634
Hexadecimal 0xCBDD9C

Divisor Catalog (24)

1 2 4 5 10 20 197 394 788 985 1,970 3,391 3,940 6,782 13,564 16,955 33,910 67,820 668,027 1,336,054 2,672,108 3,340,135 6,680,270 13,360,540

Collatz Trajectory (254 steps to reach 1)

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

13,360,540 6,680,270 3,340,135 10,020,406 5,010,203 15,030,610 7,515,305 22,545,916 11,272,958 5,636,479 16,909,438 8,454,719 25,364,158 12,682,079 38,046,238 19,023,119 57,069,358 28,534,679 85,604,038 42,802,019 128,406,058 64,203,029 192,609,088 96,304,544 48,152,272 24,076,136 12,038,068 6,019,034 3,009,517 9,028,552 4,514,276 2,257,138 1,128,569 3,385,708 1,692,854 846,427 2,539,282 1,269,641 3,808,924 1,904,462 952,231 2,856,694 1,428,347 4,285,042 2,142,521 6,427,564 3,213,782 1,606,891 4,820,674 2,410,337 7,231,012 3,615,506 1,807,753 5,423,260 2,711,630 1,355,815 4,067,446 2,033,723 6,101,170 3,050,585

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