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Atlas › Integer Profiles › Node 13,080,340

13,080,340

22 × 5 × 7 × 13 × 7187
Abundant Even Composite

13,080,340 factors as 2^2 × 5 × 7 × 13 × 7187. Its 48 positive divisors give a proper-divisor sum of 20,732,012, so this integer is abundant. The Collatz stopping time is 86 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 13 × 7187
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 33,812,352
Proper Divisor Sum 20,732,012
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #13080337 ← → #13080367

Radix Representation

Decimal 13080340
Binary 110001111001011100010100 (24 bits)
Octal 0o61713424
Hexadecimal 0xC79714

Divisor Catalog (48)

1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1,820 7,187 14,374 28,748 35,935 50,309 71,870 93,431 100,618 143,740 186,862 201,236 251,545 373,724 467,155 503,090 654,017 934,310 1,006,180 1,308,034 1,868,620 2,616,068 3,270,085 6,540,170 13,080,340

Collatz Trajectory (86 steps to reach 1)

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

13,080,340 6,540,170 3,270,085 9,810,256 4,905,128 2,452,564 1,226,282 613,141 1,839,424 919,712 459,856 229,928 114,964 57,482 28,741 86,224 43,112 21,556 10,778 5,389 16,168 8,084 4,042 2,021 6,064 3,032 1,516 758 379 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65

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