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Atlas › Integer Profiles › Node 25,753,842

25,753,842

2 × 33 × 79 × 6037
Abundant Even Composite

25,753,842 factors as 2 × 3^3 × 79 × 6037. Its 32 positive divisors give a proper-divisor sum of 32,210,958, so this integer is abundant. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 79 × 6037
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 57,964,800
Proper Divisor Sum 32,210,958
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #25753829 ← → #25753843

Radix Representation

Decimal 25753842
Binary 1100010001111100011110010 (25 bits)
Octal 0o142174362
Hexadecimal 0x188F8F2

Divisor Catalog (32)

1 2 3 6 9 18 27 54 79 158 237 474 711 1,422 2,133 4,266 6,037 12,074 18,111 36,222 54,333 108,666 162,999 325,998 476,923 953,846 1,430,769 2,861,538 4,292,307 8,584,614 12,876,921 25,753,842

Collatz Trajectory (149 steps to reach 1)

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

25,753,842 12,876,921 38,630,764 19,315,382 9,657,691 28,973,074 14,486,537 43,459,612 21,729,806 10,864,903 32,594,710 16,297,355 48,892,066 24,446,033 73,338,100 36,669,050 18,334,525 55,003,576 27,501,788 13,750,894 6,875,447 20,626,342 10,313,171 30,939,514 15,469,757 46,409,272 23,204,636 11,602,318 5,801,159 17,403,478 8,701,739 26,105,218 13,052,609 39,157,828 19,578,914 9,789,457 29,368,372 14,684,186 7,342,093 22,026,280 11,013,140 5,506,570 2,753,285 8,259,856 4,129,928 2,064,964 1,032,482 516,241 1,548,724 774,362 387,181 1,161,544 580,772 290,386 145,193 435,580 217,790 108,895 326,686 163,343

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