λ
Ratio Atlas
Atlas › Integer Profiles › Node 20,003,067

20,003,067

32 × 7 × 17 × 19 × 983
Deficient Odd Composite

20,003,067 factors as 3^2 × 7 × 17 × 19 × 983. Its 48 positive divisors give a proper-divisor sum of 16,837,893, so this integer is deficient. The Collatz stopping time is 296 steps.

Prime Factor Structure

Factorization String 3^2 × 7 × 17 × 19 × 983
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 36,840,960
Proper Divisor Sum 16,837,893
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #20003063 ← → #20003089

Radix Representation

Decimal 20003067
Binary 1001100010011100011111011 (25 bits)
Octal 0o114234373
Hexadecimal 0x13138FB

Divisor Catalog (48)

1 3 7 9 17 19 21 51 57 63 119 133 153 171 323 357 399 969 983 1,071 1,197 2,261 2,907 2,949 6,783 6,881 8,847 16,711 18,677 20,349 20,643 50,133 56,031 61,929 116,977 130,739 150,399 168,093 317,509 350,931 392,217 952,527 1,052,793 1,176,651 2,222,563 2,857,581 6,667,689 20,003,067

Collatz Trajectory (296 steps to reach 1)

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

20,003,067 60,009,202 30,004,601 90,013,804 45,006,902 22,503,451 67,510,354 33,755,177 101,265,532 50,632,766 25,316,383 75,949,150 37,974,575 113,923,726 56,961,863 170,885,590 85,442,795 256,328,386 128,164,193 384,492,580 192,246,290 96,123,145 288,369,436 144,184,718 72,092,359 216,277,078 108,138,539 324,415,618 162,207,809 486,623,428 243,311,714 121,655,857 364,967,572 182,483,786 91,241,893 273,725,680 136,862,840 68,431,420 34,215,710 17,107,855 51,323,566 25,661,783 76,985,350 38,492,675 115,478,026 57,739,013 173,217,040 86,608,520 43,304,260 21,652,130 10,826,065 32,478,196 16,239,098 8,119,549 24,358,648 12,179,324 6,089,662 3,044,831 9,134,494 4,567,247

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #20,003,066 Browse Full Index Next Integer #20,003,068 →