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Atlas › Integer Profiles › Node 2,545,191

2,545,191

32 × 11 × 47 × 547
Deficient Odd Composite

2,545,191 factors as 3^2 × 11 × 47 × 547. Its 24 positive divisors give a proper-divisor sum of 1,558,233, so this integer is deficient. The Collatz stopping time is 174 steps.

Prime Factor Structure

Factorization String 3^2 × 11 × 47 × 547
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,103,424
Proper Divisor Sum 1,558,233
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2545187 ← → #2545211

Radix Representation

Decimal 2545191
Binary 1001101101011000100111 (22 bits)
Octal 0o11553047
Hexadecimal 0x26D627

Divisor Catalog (24)

1 3 9 11 33 47 99 141 423 517 547 1,551 1,641 4,653 4,923 6,017 18,051 25,709 54,153 77,127 231,381 282,799 848,397 2,545,191

Collatz Trajectory (174 steps to reach 1)

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

2,545,191 7,635,574 3,817,787 11,453,362 5,726,681 17,180,044 8,590,022 4,295,011 12,885,034 6,442,517 19,327,552 9,663,776 4,831,888 2,415,944 1,207,972 603,986 301,993 905,980 452,990 226,495 679,486 339,743 1,019,230 509,615 1,528,846 764,423 2,293,270 1,146,635 3,439,906 1,719,953 5,159,860 2,579,930 1,289,965 3,869,896 1,934,948 967,474 483,737 1,451,212 725,606 362,803 1,088,410 544,205 1,632,616 816,308 408,154 204,077 612,232 306,116 153,058 76,529 229,588 114,794 57,397 172,192 86,096 43,048 21,524 10,762 5,381 16,144

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