λ
Ratio Atlas
Atlas › Integer Profiles › Node 26,314,740

26,314,740

22 × 33 × 5 × 48731
Abundant Even Composite

26,314,740 factors as 2^2 × 3^3 × 5 × 48731. Its 48 positive divisors give a proper-divisor sum of 55,555,020, so this integer is abundant. The Collatz stopping time is 211 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 5 × 48731
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 81,869,760
Proper Divisor Sum 55,555,020
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #26314727 ← → #26314751

Radix Representation

Decimal 26314740
Binary 1100100011000011111110100 (25 bits)
Octal 0o144303764
Hexadecimal 0x19187F4

Divisor Catalog (48)

1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 48,731 97,462 146,193 194,924 243,655 292,386 438,579 487,310 584,772 730,965 877,158 974,620 1,315,737 1,461,930 1,754,316 2,192,895 2,631,474 2,923,860 4,385,790 5,262,948 6,578,685 8,771,580 13,157,370 26,314,740

Collatz Trajectory (211 steps to reach 1)

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

26,314,740 13,157,370 6,578,685 19,736,056 9,868,028 4,934,014 2,467,007 7,401,022 3,700,511 11,101,534 5,550,767 16,652,302 8,326,151 24,978,454 12,489,227 37,467,682 18,733,841 56,201,524 28,100,762 14,050,381 42,151,144 21,075,572 10,537,786 5,268,893 15,806,680 7,903,340 3,951,670 1,975,835 5,927,506 2,963,753 8,891,260 4,445,630 2,222,815 6,668,446 3,334,223 10,002,670 5,001,335 15,004,006 7,502,003 22,506,010 11,253,005 33,759,016 16,879,508 8,439,754 4,219,877 12,659,632 6,329,816 3,164,908 1,582,454 791,227 2,373,682 1,186,841 3,560,524 1,780,262 890,131 2,670,394 1,335,197 4,005,592 2,002,796 1,001,398

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #26,314,739 Browse Full Index Next Integer #26,314,741 →