61,365,150

2 × 3² × 5² × 7² × 11² × 23

61,365,150 factors as 2 × 3^2 × 5^2 × 7^2 × 11^2 × 23. Its 324 positive divisors give a proper-divisor sum of 158,605,146, so this integer is abundant. The Collatz stopping time is 282 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5^2 × 7^2 × 11^2 × 23

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 324

Divisor Sum (σ) 219,970,296

Proper Divisor Sum 158,605,146

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #61365119 ← → #61365181

Radix Representation

Decimal	61365150
Binary	11101010000101101110011110 (26 bits)
Octal	0o352055636
Hexadecimal	0x3A85B9E

Divisor Catalog (60 of 324)

1 2 3 5 6 7 9 10 11 14 15 18 21 22 23 25 30 33 35 42 45 46 49 50 55 63 66 69 70 75 77 90 98 99 105 110 115 121 126 138 147 150 154 161 165 175 198 207 210 225 230 231 242 245 253 275 294 315 322 330

Collatz Trajectory (282 steps to reach 1)

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

61,365,150 30,682,575 92,047,726 46,023,863 138,071,590 69,035,795 207,107,386 103,553,693 310,661,080 155,330,540 77,665,270 38,832,635 116,497,906 58,248,953 174,746,860 87,373,430 43,686,715 131,060,146 65,530,073 196,590,220 98,295,110 49,147,555 147,442,666 73,721,333 221,164,000 110,582,000 55,291,000 27,645,500 13,822,750 6,911,375 20,734,126 10,367,063 31,101,190 15,550,595 46,651,786 23,325,893 69,977,680 34,988,840 17,494,420 8,747,210 4,373,605 13,120,816 6,560,408 3,280,204 1,640,102 820,051 2,460,154 1,230,077 3,690,232 1,845,116 922,558 461,279 1,383,838 691,919 2,075,758 1,037,879 3,113,638 1,556,819 4,670,458 2,335,229

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #61,365,149 Browse Full Index Next Integer #61,365,151 →