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Atlas › Integer Profiles › Node 42,007,275

42,007,275

33 × 52 × 62233
Deficient Odd Composite

42,007,275 factors as 3^3 × 5^2 × 62233. Its 24 positive divisors give a proper-divisor sum of 35,162,885, so this integer is deficient. The Collatz stopping time is 152 steps.

Prime Factor Structure

Factorization String 3^3 × 5^2 × 62233
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 77,170,160
Proper Divisor Sum 35,162,885
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #42007267 ← → #42007279

Radix Representation

Decimal 42007275
Binary 10100000001111101011101011 (26 bits)
Octal 0o240175353
Hexadecimal 0x280FAEB

Divisor Catalog (24)

1 3 5 9 15 25 27 45 75 135 225 675 62,233 186,699 311,165 560,097 933,495 1,555,825 1,680,291 2,800,485 4,667,475 8,401,455 14,002,425 42,007,275

Collatz Trajectory (152 steps to reach 1)

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

42,007,275 126,021,826 63,010,913 189,032,740 94,516,370 47,258,185 141,774,556 70,887,278 35,443,639 106,330,918 53,165,459 159,496,378 79,748,189 239,244,568 119,622,284 59,811,142 29,905,571 89,716,714 44,858,357 134,575,072 67,287,536 33,643,768 16,821,884 8,410,942 4,205,471 12,616,414 6,308,207 18,924,622 9,462,311 28,386,934 14,193,467 42,580,402 21,290,201 63,870,604 31,935,302 15,967,651 47,902,954 23,951,477 71,854,432 35,927,216 17,963,608 8,981,804 4,490,902 2,245,451 6,736,354 3,368,177 10,104,532 5,052,266 2,526,133 7,578,400 3,789,200 1,894,600 947,300 473,650 236,825 710,476 355,238 177,619 532,858 266,429

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