λ
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Atlas › Integer Profiles › Node 7,433,335

7,433,335

5 × 7 × 13 × 17 × 312
Deficient Odd Composite

7,433,335 factors as 5 × 7 × 13 × 17 × 31^2. Its 48 positive divisors give a proper-divisor sum of 4,577,993, so this integer is deficient. The Collatz stopping time is 204 steps.

Prime Factor Structure

Factorization String 5 × 7 × 13 × 17 × 31^2
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 12,011,328
Proper Divisor Sum 4,577,993
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #7433323 ← → #7433339

Radix Representation

Decimal 7433335
Binary 11100010110110001110111 (23 bits)
Octal 0o34266167
Hexadecimal 0x716C77

Divisor Catalog (48)

1 5 7 13 17 31 35 65 85 91 119 155 217 221 403 455 527 595 961 1,085 1,105 1,547 2,015 2,635 2,821 3,689 4,805 6,727 6,851 7,735 12,493 14,105 16,337 18,445 33,635 34,255 47,957 62,465 81,685 87,451 114,359 212,381 239,785 437,255 571,795 1,061,905 1,486,667 7,433,335

Collatz Trajectory (204 steps to reach 1)

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

7,433,335 22,300,006 11,150,003 33,450,010 16,725,005 50,175,016 25,087,508 12,543,754 6,271,877 18,815,632 9,407,816 4,703,908 2,351,954 1,175,977 3,527,932 1,763,966 881,983 2,645,950 1,322,975 3,968,926 1,984,463 5,953,390 2,976,695 8,930,086 4,465,043 13,395,130 6,697,565 20,092,696 10,046,348 5,023,174 2,511,587 7,534,762 3,767,381 11,302,144 5,651,072 2,825,536 1,412,768 706,384 353,192 176,596 88,298 44,149 132,448 66,224 33,112 16,556 8,278 4,139 12,418 6,209 18,628 9,314 4,657 13,972 6,986 3,493 10,480 5,240 2,620 1,310

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