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Atlas › Integer Profiles › Node 20,002,962

20,002,962

2 × 3 × 7 × 23 × 20707
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 7 × 23 × 20707
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 47,711,232
Proper Divisor Sum 27,708,270
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #20002951 ← → #20002979

Radix Representation

Decimal 20002962
Binary 1001100010011100010010010 (25 bits)
Octal 0o114234222
Hexadecimal 0x1313892

Divisor Catalog (32)

1 2 3 6 7 14 21 23 42 46 69 138 161 322 483 966 20,707 41,414 62,121 124,242 144,949 289,898 434,847 476,261 869,694 952,522 1,428,783 2,857,566 3,333,827 6,667,654 10,001,481 20,002,962

Collatz Trajectory (252 steps to reach 1)

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

20,002,962 10,001,481 30,004,444 15,002,222 7,501,111 22,503,334 11,251,667 33,755,002 16,877,501 50,632,504 25,316,252 12,658,126 6,329,063 18,987,190 9,493,595 28,480,786 14,240,393 42,721,180 21,360,590 10,680,295 32,040,886 16,020,443 48,061,330 24,030,665 72,091,996 36,045,998 18,022,999 54,068,998 27,034,499 81,103,498 40,551,749 121,655,248 60,827,624 30,413,812 15,206,906 7,603,453 22,810,360 11,405,180 5,702,590 2,851,295 8,553,886 4,276,943 12,830,830 6,415,415 19,246,246 9,623,123 28,869,370 14,434,685 43,304,056 21,652,028 10,826,014 5,413,007 16,239,022 8,119,511 24,358,534 12,179,267 36,537,802 18,268,901 54,806,704 27,403,352

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