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Atlas › Integer Profiles › Node 32,079,596

32,079,596

22 × 191 × 199 × 211
Deficient Even Composite

32,079,596 factors as 2^2 × 191 × 199 × 211. Its 24 positive divisors give a proper-divisor sum of 24,906,004, so this integer is deficient. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 2^2 × 191 × 199 × 211
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 56,985,600
Proper Divisor Sum 24,906,004
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #32079547 ← → #32079601

Radix Representation

Decimal 32079596
Binary 1111010010111111011101100 (25 bits)
Octal 0o172277354
Hexadecimal 0x1E97EEC

Divisor Catalog (24)

1 2 4 191 199 211 382 398 422 764 796 844 38,009 40,301 41,989 76,018 80,602 83,978 152,036 161,204 167,956 8,019,899 16,039,798 32,079,596

Collatz Trajectory (118 steps to reach 1)

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

32,079,596 16,039,798 8,019,899 24,059,698 12,029,849 36,089,548 18,044,774 9,022,387 27,067,162 13,533,581 40,600,744 20,300,372 10,150,186 5,075,093 15,225,280 7,612,640 3,806,320 1,903,160 951,580 475,790 237,895 713,686 356,843 1,070,530 535,265 1,605,796 802,898 401,449 1,204,348 602,174 301,087 903,262 451,631 1,354,894 677,447 2,032,342 1,016,171 3,048,514 1,524,257 4,572,772 2,286,386 1,143,193 3,429,580 1,714,790 857,395 2,572,186 1,286,093 3,858,280 1,929,140 964,570 482,285 1,446,856 723,428 361,714 180,857 542,572 271,286 135,643 406,930 203,465

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