λ
Ratio Atlas

21,391,981

13 × 1645537
Deficient Odd Composite

21,391,981 factors as 13 × 1645537. Its 4 positive divisors give a proper-divisor sum of 1,645,551, so this integer is deficient. The Collatz stopping time is 120 steps.

Prime Factor Structure

Factorization String 13 × 1645537
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 23,037,532
Proper Divisor Sum 1,645,551
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #21391949 ← → #21391987

Radix Representation

Decimal 21391981
Binary 1010001100110101001101101 (25 bits)
Octal 0o121465155
Hexadecimal 0x1466A6D

Divisor Catalog (4)

Collatz Trajectory (120 steps to reach 1)

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

21,391,981 64,175,944 32,087,972 16,043,986 8,021,993 24,065,980 12,032,990 6,016,495 18,049,486 9,024,743 27,074,230 13,537,115 40,611,346 20,305,673 60,917,020 30,458,510 15,229,255 45,687,766 22,843,883 68,531,650 34,265,825 102,797,476 51,398,738 25,699,369 77,098,108 38,549,054 19,274,527 57,823,582 28,911,791 86,735,374 43,367,687 130,103,062 65,051,531 195,154,594 97,577,297 292,731,892 146,365,946 73,182,973 219,548,920 109,774,460 54,887,230 27,443,615 82,330,846 41,165,423 123,496,270 61,748,135 185,244,406 92,622,203 277,866,610 138,933,305 416,799,916 208,399,958 104,199,979 312,599,938 156,299,969 468,899,908 234,449,954 117,224,977 351,674,932 175,837,466

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