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Atlas › Integer Profiles › Node 6,973,263

6,973,263

33 × 11 × 53 × 443
Deficient Odd Composite

6,973,263 factors as 3^3 × 11 × 53 × 443. Its 32 positive divisors give a proper-divisor sum of 4,535,217, so this integer is deficient. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 3^3 × 11 × 53 × 443
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,508,480
Proper Divisor Sum 4,535,217
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6973259 ← → #6973271

Radix Representation

Decimal 6973263
Binary 11010100110011101001111 (23 bits)
Octal 0o32463517
Hexadecimal 0x6A674F

Divisor Catalog (32)

1 3 9 11 27 33 53 99 159 297 443 477 583 1,329 1,431 1,749 3,987 4,873 5,247 11,961 14,619 15,741 23,479 43,857 70,437 131,571 211,311 258,269 633,933 774,807 2,324,421 6,973,263

Collatz Trajectory (191 steps to reach 1)

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

6,973,263 20,919,790 10,459,895 31,379,686 15,689,843 47,069,530 23,534,765 70,604,296 35,302,148 17,651,074 8,825,537 26,476,612 13,238,306 6,619,153 19,857,460 9,928,730 4,964,365 14,893,096 7,446,548 3,723,274 1,861,637 5,584,912 2,792,456 1,396,228 698,114 349,057 1,047,172 523,586 261,793 785,380 392,690 196,345 589,036 294,518 147,259 441,778 220,889 662,668 331,334 165,667 497,002 248,501 745,504 372,752 186,376 93,188 46,594 23,297 69,892 34,946 17,473 52,420 26,210 13,105 39,316 19,658 9,829 29,488 14,744 7,372

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