λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,112,475

7,112,475

33 × 52 × 41 × 257
Deficient Odd Composite

7,112,475 factors as 3^3 × 5^2 × 41 × 257. Its 48 positive divisors give a proper-divisor sum of 6,324,165, so this integer is deficient. The Collatz stopping time is 235 steps.

Prime Factor Structure

Factorization String 3^3 × 5^2 × 41 × 257
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 13,436,640
Proper Divisor Sum 6,324,165
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7112467 ← → #7112503

Radix Representation

Decimal 7112475
Binary 11011001000011100011011 (23 bits)
Octal 0o33103433
Hexadecimal 0x6C871B

Divisor Catalog (48)

1 3 5 9 15 25 27 41 45 75 123 135 205 225 257 369 615 675 771 1,025 1,107 1,285 1,845 2,313 3,075 3,855 5,535 6,425 6,939 9,225 10,537 11,565 19,275 27,675 31,611 34,695 52,685 57,825 94,833 158,055 173,475 263,425 284,499 474,165 790,275 1,422,495 2,370,825 7,112,475

Collatz Trajectory (235 steps to reach 1)

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

7,112,475 21,337,426 10,668,713 32,006,140 16,003,070 8,001,535 24,004,606 12,002,303 36,006,910 18,003,455 54,010,366 27,005,183 81,015,550 40,507,775 121,523,326 60,761,663 182,284,990 91,142,495 273,427,486 136,713,743 410,141,230 205,070,615 615,211,846 307,605,923 922,817,770 461,408,885 1,384,226,656 692,113,328 346,056,664 173,028,332 86,514,166 43,257,083 129,771,250 64,885,625 194,656,876 97,328,438 48,664,219 145,992,658 72,996,329 218,988,988 109,494,494 54,747,247 164,241,742 82,120,871 246,362,614 123,181,307 369,543,922 184,771,961 554,315,884 277,157,942 138,578,971 415,736,914 207,868,457 623,605,372 311,802,686 155,901,343 467,704,030 233,852,015 701,556,046 350,778,023

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