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Atlas › Integer Profiles › Node 42,705,292

42,705,292

22 × 7 × 17 × 73 × 1229
Abundant Even Composite

42,705,292 factors as 2^2 × 7 × 17 × 73 × 1229. Its 48 positive divisors give a proper-divisor sum of 49,042,868, so this integer is abundant. The Collatz stopping time is 266 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 17 × 73 × 1229
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 91,748,160
Proper Divisor Sum 49,042,868
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #42705287 ← → #42705301

Radix Representation

Decimal 42705292
Binary 10100010111010000110001100 (26 bits)
Octal 0o242720614
Hexadecimal 0x28BA18C

Divisor Catalog (48)

1 2 4 7 14 17 28 34 68 73 119 146 238 292 476 511 1,022 1,229 1,241 2,044 2,458 2,482 4,916 4,964 8,603 8,687 17,206 17,374 20,893 34,412 34,748 41,786 83,572 89,717 146,251 179,434 292,502 358,868 585,004 628,019 1,256,038 1,525,189 2,512,076 3,050,378 6,100,756 10,676,323 21,352,646 42,705,292

Collatz Trajectory (266 steps to reach 1)

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

42,705,292 21,352,646 10,676,323 32,028,970 16,014,485 48,043,456 24,021,728 12,010,864 6,005,432 3,002,716 1,501,358 750,679 2,252,038 1,126,019 3,378,058 1,689,029 5,067,088 2,533,544 1,266,772 633,386 316,693 950,080 475,040 237,520 118,760 59,380 29,690 14,845 44,536 22,268 11,134 5,567 16,702 8,351 25,054 12,527 37,582 18,791 56,374 28,187 84,562 42,281 126,844 63,422 31,711 95,134 47,567 142,702 71,351 214,054 107,027 321,082 160,541 481,624 240,812 120,406 60,203 180,610 90,305 270,916

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