λ
Ratio Atlas

21,033,337

13 × 1617949
Deficient Odd Composite

21,033,337 factors as 13 × 1617949. Its 4 positive divisors give a proper-divisor sum of 1,617,963, so this integer is deficient. The Collatz stopping time is 252 steps.

Prime Factor Structure

Factorization String 13 × 1617949
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 22,651,300
Proper Divisor Sum 1,617,963
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #21033329 ← → #21033343

Radix Representation

Decimal 21033337
Binary 1010000001111000101111001 (25 bits)
Octal 0o120170571
Hexadecimal 0x140F179

Divisor Catalog (4)

Collatz Trajectory (252 steps to reach 1)

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

21,033,337 63,100,012 31,550,006 15,775,003 47,325,010 23,662,505 70,987,516 35,493,758 17,746,879 53,240,638 26,620,319 79,860,958 39,930,479 119,791,438 59,895,719 179,687,158 89,843,579 269,530,738 134,765,369 404,296,108 202,148,054 101,074,027 303,222,082 151,611,041 454,833,124 227,416,562 113,708,281 341,124,844 170,562,422 85,281,211 255,843,634 127,921,817 383,765,452 191,882,726 95,941,363 287,824,090 143,912,045 431,736,136 215,868,068 107,934,034 53,967,017 161,901,052 80,950,526 40,475,263 121,425,790 60,712,895 182,138,686 91,069,343 273,208,030 136,604,015 409,812,046 204,906,023 614,718,070 307,359,035 922,077,106 461,038,553 1,383,115,660 691,557,830 345,778,915 1,037,336,746

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