λ
Ratio Atlas
Atlas › Integer Profiles › Node 24,762,012

24,762,012

22 × 3 × 11 × 149 × 1259
Abundant Even Composite

24,762,012 factors as 2^2 × 3 × 11 × 149 × 1259. Its 48 positive divisors give a proper-divisor sum of 38,741,988, so this integer is abundant. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 149 × 1259
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 63,504,000
Proper Divisor Sum 38,741,988
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #24762011 ← → #24762041

Radix Representation

Decimal 24762012
Binary 1011110011101011010011100 (25 bits)
Octal 0o136353234
Hexadecimal 0x179D69C

Divisor Catalog (48)

1 2 3 4 6 11 12 22 33 44 66 132 149 298 447 596 894 1,259 1,639 1,788 2,518 3,278 3,777 4,917 5,036 6,556 7,554 9,834 13,849 15,108 19,668 27,698 41,547 55,396 83,094 166,188 187,591 375,182 562,773 750,364 1,125,546 2,063,501 2,251,092 4,127,002 6,190,503 8,254,004 12,381,006 24,762,012

Collatz Trajectory (167 steps to reach 1)

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

24,762,012 12,381,006 6,190,503 18,571,510 9,285,755 27,857,266 13,928,633 41,785,900 20,892,950 10,446,475 31,339,426 15,669,713 47,009,140 23,504,570 11,752,285 35,256,856 17,628,428 8,814,214 4,407,107 13,221,322 6,610,661 19,831,984 9,915,992 4,957,996 2,478,998 1,239,499 3,718,498 1,859,249 5,577,748 2,788,874 1,394,437 4,183,312 2,091,656 1,045,828 522,914 261,457 784,372 392,186 196,093 588,280 294,140 147,070 73,535 220,606 110,303 330,910 165,455 496,366 248,183 744,550 372,275 1,116,826 558,413 1,675,240 837,620 418,810 209,405 628,216 314,108 157,054

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #24,762,011 Browse Full Index Next Integer #24,762,013 →