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Atlas › Integer Profiles › Node 21,106,962

21,106,962

2 × 32 × 17 × 23 × 2999
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 17 × 23 × 2999
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 50,544,000
Proper Divisor Sum 29,437,038
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #21106961 ← → #21106993

Radix Representation

Decimal 21106962
Binary 1010000100001000100010010 (25 bits)
Octal 0o120410422
Hexadecimal 0x1421112

Divisor Catalog (48)

1 2 3 6 9 17 18 23 34 46 51 69 102 138 153 207 306 391 414 782 1,173 2,346 2,999 3,519 5,998 7,038 8,997 17,994 26,991 50,983 53,982 68,977 101,966 137,954 152,949 206,931 305,898 413,862 458,847 620,793 917,694 1,172,609 1,241,586 2,345,218 3,517,827 7,035,654 10,553,481 21,106,962

Collatz Trajectory (296 steps to reach 1)

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

21,106,962 10,553,481 31,660,444 15,830,222 7,915,111 23,745,334 11,872,667 35,618,002 17,809,001 53,427,004 26,713,502 13,356,751 40,070,254 20,035,127 60,105,382 30,052,691 90,158,074 45,079,037 135,237,112 67,618,556 33,809,278 16,904,639 50,713,918 25,356,959 76,070,878 38,035,439 114,106,318 57,053,159 171,159,478 85,579,739 256,739,218 128,369,609 385,108,828 192,554,414 96,277,207 288,831,622 144,415,811 433,247,434 216,623,717 649,871,152 324,935,576 162,467,788 81,233,894 40,616,947 121,850,842 60,925,421 182,776,264 91,388,132 45,694,066 22,847,033 68,541,100 34,270,550 17,135,275 51,405,826 25,702,913 77,108,740 38,554,370 19,277,185 57,831,556 28,915,778

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