λ
Ratio Atlas
Atlas › Integer Profiles › Node 26,054,080

26,054,080

26 × 5 × 13 × 6263
Abundant Even Composite

26,054,080 factors as 2^6 × 5 × 13 × 6263. Its 56 positive divisors give a proper-divisor sum of 40,770,272, so this integer is abundant. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 2^6 × 5 × 13 × 6263
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 66,824,352
Proper Divisor Sum 40,770,272
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #26054057 ← → #26054099

Radix Representation

Decimal 26054080
Binary 1100011011000110111000000 (25 bits)
Octal 0o143306700
Hexadecimal 0x18D8DC0

Divisor Catalog (56)

1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1,040 2,080 4,160 6,263 12,526 25,052 31,315 50,104 62,630 81,419 100,208 125,260 162,838 200,416 250,520 325,676 400,832 407,095 501,040 651,352 814,190 1,002,080 1,302,704 1,628,380 2,004,160 2,605,408 3,256,760 5,210,816 6,513,520 13,027,040 26,054,080

Collatz Trajectory (118 steps to reach 1)

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

26,054,080 13,027,040 6,513,520 3,256,760 1,628,380 814,190 407,095 1,221,286 610,643 1,831,930 915,965 2,747,896 1,373,948 686,974 343,487 1,030,462 515,231 1,545,694 772,847 2,318,542 1,159,271 3,477,814 1,738,907 5,216,722 2,608,361 7,825,084 3,912,542 1,956,271 5,868,814 2,934,407 8,803,222 4,401,611 13,204,834 6,602,417 19,807,252 9,903,626 4,951,813 14,855,440 7,427,720 3,713,860 1,856,930 928,465 2,785,396 1,392,698 696,349 2,089,048 1,044,524 522,262 261,131 783,394 391,697 1,175,092 587,546 293,773 881,320 440,660 220,330 110,165 330,496 165,248

More profiles

Browse other published profiles and their separate link collections.

Profile #8,342,168 Profile #1,146,956 Profile #9,712,347 Profile #6,573,969 Profile #965,653 Profile #4,620,983 Profile #853,259 Profile #1,288,150
← Previous Integer #26,054,079 Browse Full Index Next Integer #26,054,081 →