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Atlas › Integer Profiles › Node 22,182,025

22,182,025

52 × 17 × 19 × 41 × 67
Deficient Odd Composite

22,182,025 factors as 5^2 × 17 × 19 × 41 × 67. Its 48 positive divisors give a proper-divisor sum of 9,690,935, so this integer is deficient. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 5^2 × 17 × 19 × 41 × 67
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 31,872,960
Proper Divisor Sum 9,690,935
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #22182001 ← → #22182029

Radix Representation

Decimal 22182025
Binary 1010100100111100010001001 (25 bits)
Octal 0o124474211
Hexadecimal 0x1527889

Divisor Catalog (48)

1 5 17 19 25 41 67 85 95 205 323 335 425 475 697 779 1,025 1,139 1,273 1,615 1,675 2,747 3,485 3,895 5,695 6,365 8,075 13,243 13,735 17,425 19,475 21,641 28,475 31,825 46,699 52,193 66,215 68,675 108,205 233,495 260,965 331,075 541,025 887,281 1,167,475 1,304,825 4,436,405 22,182,025

Collatz Trajectory (141 steps to reach 1)

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

22,182,025 66,546,076 33,273,038 16,636,519 49,909,558 24,954,779 74,864,338 37,432,169 112,296,508 56,148,254 28,074,127 84,222,382 42,111,191 126,333,574 63,166,787 189,500,362 94,750,181 284,250,544 142,125,272 71,062,636 35,531,318 17,765,659 53,296,978 26,648,489 79,945,468 39,972,734 19,986,367 59,959,102 29,979,551 89,938,654 44,969,327 134,907,982 67,453,991 202,361,974 101,180,987 303,542,962 151,771,481 455,314,444 227,657,222 113,828,611 341,485,834 170,742,917 512,228,752 256,114,376 128,057,188 64,028,594 32,014,297 96,042,892 48,021,446 24,010,723 72,032,170 36,016,085 108,048,256 54,024,128 27,012,064 13,506,032 6,753,016 3,376,508 1,688,254 844,127

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