λ
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Atlas › Integer Profiles › Node 5,223,335

5,223,335

5 × 13 × 17 × 29 × 163
Deficient Odd Composite

5,223,335 factors as 5 × 13 × 17 × 29 × 163. Its 32 positive divisors give a proper-divisor sum of 2,215,705, so this integer is deficient. The Collatz stopping time is 157 steps.

Prime Factor Structure

Factorization String 5 × 13 × 17 × 29 × 163
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,439,040
Proper Divisor Sum 2,215,705
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #5223299 ← → #5223343

Radix Representation

Decimal 5223335
Binary 10011111011001110100111 (23 bits)
Octal 0o23731647
Hexadecimal 0x4FB3A7

Divisor Catalog (32)

1 5 13 17 29 65 85 145 163 221 377 493 815 1,105 1,885 2,119 2,465 2,771 4,727 6,409 10,595 13,855 23,635 32,045 36,023 61,451 80,359 180,115 307,255 401,795 1,044,667 5,223,335

Collatz Trajectory (157 steps to reach 1)

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

5,223,335 15,670,006 7,835,003 23,505,010 11,752,505 35,257,516 17,628,758 8,814,379 26,443,138 13,221,569 39,664,708 19,832,354 9,916,177 29,748,532 14,874,266 7,437,133 22,311,400 11,155,700 5,577,850 2,788,925 8,366,776 4,183,388 2,091,694 1,045,847 3,137,542 1,568,771 4,706,314 2,353,157 7,059,472 3,529,736 1,764,868 882,434 441,217 1,323,652 661,826 330,913 992,740 496,370 248,185 744,556 372,278 186,139 558,418 279,209 837,628 418,814 209,407 628,222 314,111 942,334 471,167 1,413,502 706,751 2,120,254 1,060,127 3,180,382 1,590,191 4,770,574 2,385,287 7,155,862

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