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Atlas › Integer Profiles › Node 3,212,937

3,212,937

32 × 7 × 13 × 3923
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 7 × 13 × 3923
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,713,344
Proper Divisor Sum 2,500,407
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3212927 ← → #3212947

Radix Representation

Decimal 3212937
Binary 1100010000011010001001 (22 bits)
Octal 0o14203211
Hexadecimal 0x310689

Divisor Catalog (24)

1 3 7 9 13 21 39 63 91 117 273 819 3,923 11,769 27,461 35,307 50,999 82,383 152,997 247,149 356,993 458,991 1,070,979 3,212,937

Collatz Trajectory (146 steps to reach 1)

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

3,212,937 9,638,812 4,819,406 2,409,703 7,229,110 3,614,555 10,843,666 5,421,833 16,265,500 8,132,750 4,066,375 12,199,126 6,099,563 18,298,690 9,149,345 27,448,036 13,724,018 6,862,009 20,586,028 10,293,014 5,146,507 15,439,522 7,719,761 23,159,284 11,579,642 5,789,821 17,369,464 8,684,732 4,342,366 2,171,183 6,513,550 3,256,775 9,770,326 4,885,163 14,655,490 7,327,745 21,983,236 10,991,618 5,495,809 16,487,428 8,243,714 4,121,857 12,365,572 6,182,786 3,091,393 9,274,180 4,637,090 2,318,545 6,955,636 3,477,818 1,738,909 5,216,728 2,608,364 1,304,182 652,091 1,956,274 978,137 2,934,412 1,467,206 733,603

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