λ
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Atlas › Integer Profiles › Node 20,220,105

20,220,105

3 × 5 × 23 × 29 × 43 × 47
Deficient Odd Composite

20,220,105 factors as 3 × 5 × 23 × 29 × 43 × 47. Its 64 positive divisors give a proper-divisor sum of 16,275,255, so this integer is deficient. The Collatz stopping time is 159 steps.

Prime Factor Structure

Factorization String 3 × 5 × 23 × 29 × 43 × 47
Distinct Prime Factors 6
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 36,495,360
Proper Divisor Sum 16,275,255
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #20220103 ← → #20220119

Radix Representation

Decimal 20220105
Binary 1001101001000100011001001 (25 bits)
Octal 0o115104311
Hexadecimal 0x13488C9

Divisor Catalog (60 of 64)

1 3 5 15 23 29 43 47 69 87 115 129 141 145 215 235 345 435 645 667 705 989 1,081 1,247 1,363 2,001 2,021 2,967 3,243 3,335 3,741 4,089 4,945 5,405 6,063 6,235 6,815 10,005 10,105 14,835 16,215 18,705 20,445 28,681 30,315 31,349 46,483 58,609 86,043 94,047 139,449 143,405 156,745 175,827 232,415 293,045 430,215 470,235 697,245 879,135

Collatz Trajectory (159 steps to reach 1)

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

20,220,105 60,660,316 30,330,158 15,165,079 45,495,238 22,747,619 68,242,858 34,121,429 102,364,288 51,182,144 25,591,072 12,795,536 6,397,768 3,198,884 1,599,442 799,721 2,399,164 1,199,582 599,791 1,799,374 899,687 2,699,062 1,349,531 4,048,594 2,024,297 6,072,892 3,036,446 1,518,223 4,554,670 2,277,335 6,832,006 3,416,003 10,248,010 5,124,005 15,372,016 7,686,008 3,843,004 1,921,502 960,751 2,882,254 1,441,127 4,323,382 2,161,691 6,485,074 3,242,537 9,727,612 4,863,806 2,431,903 7,295,710 3,647,855 10,943,566 5,471,783 16,415,350 8,207,675 24,623,026 12,311,513 36,934,540 18,467,270 9,233,635 27,700,906

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