λ
Ratio Atlas

21,661,735

5 × 41 × 105667
Deficient Odd Composite

21,661,735 factors as 5 × 41 × 105667. Its 8 positive divisors give a proper-divisor sum of 4,966,601, so this integer is deficient. The Collatz stopping time is 203 steps.

Prime Factor Structure

Factorization String 5 × 41 × 105667
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 26,628,336
Proper Divisor Sum 4,966,601
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #21661733 ← → #21661781

Radix Representation

Decimal 21661735
Binary 1010010101000100000100111 (25 bits)
Octal 0o122504047
Hexadecimal 0x14A8827

Divisor Catalog (8)

Collatz Trajectory (203 steps to reach 1)

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

21,661,735 64,985,206 32,492,603 97,477,810 48,738,905 146,216,716 73,108,358 36,554,179 109,662,538 54,831,269 164,493,808 82,246,904 41,123,452 20,561,726 10,280,863 30,842,590 15,421,295 46,263,886 23,131,943 69,395,830 34,697,915 104,093,746 52,046,873 156,140,620 78,070,310 39,035,155 117,105,466 58,552,733 175,658,200 87,829,100 43,914,550 21,957,275 65,871,826 32,935,913 98,807,740 49,403,870 24,701,935 74,105,806 37,052,903 111,158,710 55,579,355 166,738,066 83,369,033 250,107,100 125,053,550 62,526,775 187,580,326 93,790,163 281,370,490 140,685,245 422,055,736 211,027,868 105,513,934 52,756,967 158,270,902 79,135,451 237,406,354 118,703,177 356,109,532 178,054,766

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