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Atlas › Integer Profiles › Node 20,006,829

20,006,829

32 × 19 × 79 × 1481
Deficient Odd Composite

20,006,829 factors as 3^2 × 19 × 79 × 1481. Its 24 positive divisors give a proper-divisor sum of 10,818,771, so this integer is deficient. The Collatz stopping time is 314 steps.

Prime Factor Structure

Factorization String 3^2 × 19 × 79 × 1481
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 30,825,600
Proper Divisor Sum 10,818,771
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #20006827 ← → #20006837

Radix Representation

Decimal 20006829
Binary 1001100010100011110101101 (25 bits)
Octal 0o114243655
Hexadecimal 0x13147AD

Divisor Catalog (24)

1 3 9 19 57 79 171 237 711 1,481 1,501 4,443 4,503 13,329 13,509 28,139 84,417 116,999 253,251 350,997 1,052,991 2,222,981 6,668,943 20,006,829

Collatz Trajectory (314 steps to reach 1)

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

20,006,829 60,020,488 30,010,244 15,005,122 7,502,561 22,507,684 11,253,842 5,626,921 16,880,764 8,440,382 4,220,191 12,660,574 6,330,287 18,990,862 9,495,431 28,486,294 14,243,147 42,729,442 21,364,721 64,094,164 32,047,082 16,023,541 48,070,624 24,035,312 12,017,656 6,008,828 3,004,414 1,502,207 4,506,622 2,253,311 6,759,934 3,379,967 10,139,902 5,069,951 15,209,854 7,604,927 22,814,782 11,407,391 34,222,174 17,111,087 51,333,262 25,666,631 76,999,894 38,499,947 115,499,842 57,749,921 173,249,764 86,624,882 43,312,441 129,937,324 64,968,662 32,484,331 97,452,994 48,726,497 146,179,492 73,089,746 36,544,873 109,634,620 54,817,310 27,408,655

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