λ
Ratio Atlas
Atlas › Integer Profiles › Node 26,213,625

26,213,625

35 × 53 × 863
Deficient Odd Composite

26,213,625 factors as 3^5 × 5^3 × 863. Its 48 positive divisors give a proper-divisor sum of 22,847,751, so this integer is deficient. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 3^5 × 5^3 × 863
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 49,061,376
Proper Divisor Sum 22,847,751
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #26213623 ← → #26213657

Radix Representation

Decimal 26213625
Binary 1100011111111110011111001 (25 bits)
Octal 0o143776371
Hexadecimal 0x18FFCF9

Divisor Catalog (48)

1 3 5 9 15 25 27 45 75 81 125 135 225 243 375 405 675 863 1,125 1,215 2,025 2,589 3,375 4,315 6,075 7,767 10,125 12,945 21,575 23,301 30,375 38,835 64,725 69,903 107,875 116,505 194,175 209,709 323,625 349,515 582,525 970,875 1,048,545 1,747,575 2,912,625 5,242,725 8,737,875 26,213,625

Collatz Trajectory (149 steps to reach 1)

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

26,213,625 78,640,876 39,320,438 19,660,219 58,980,658 29,490,329 88,470,988 44,235,494 22,117,747 66,353,242 33,176,621 99,529,864 49,764,932 24,882,466 12,441,233 37,323,700 18,661,850 9,330,925 27,992,776 13,996,388 6,998,194 3,499,097 10,497,292 5,248,646 2,624,323 7,872,970 3,936,485 11,809,456 5,904,728 2,952,364 1,476,182 738,091 2,214,274 1,107,137 3,321,412 1,660,706 830,353 2,491,060 1,245,530 622,765 1,868,296 934,148 467,074 233,537 700,612 350,306 175,153 525,460 262,730 131,365 394,096 197,048 98,524 49,262 24,631 73,894 36,947 110,842 55,421 166,264

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #26,213,624 Browse Full Index Next Integer #26,213,626 →