λ
Integer Codex

6,931,633

6931633
Deficient Odd Prime

For 6,931,633, the 2 positive divisors have a total of 6,931,634. Removing 6,931,633 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 6931633
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 6,931,634
Proper Divisor Sum 1
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #6931627 ← → #6931649

Radix Representation

Decimal 6931633
Binary 11010011100010010110001 (23 bits)
Octal 0o32342261
Hexadecimal 0x69C4B1

Divisor Catalog (2)

Collatz Trajectory (98 steps to reach 1)

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

6,931,633 20,794,900 10,397,450 5,198,725 15,596,176 7,798,088 3,899,044 1,949,522 974,761 2,924,284 1,462,142 731,071 2,193,214 1,096,607 3,289,822 1,644,911 4,934,734 2,467,367 7,402,102 3,701,051 11,103,154 5,551,577 16,654,732 8,327,366 4,163,683 12,491,050 6,245,525 18,736,576 9,368,288 4,684,144 2,342,072 1,171,036 585,518 292,759 878,278 439,139 1,317,418 658,709 1,976,128 988,064 494,032 247,016 123,508 61,754 30,877 92,632 46,316 23,158 11,579 34,738 17,369 52,108 26,054 13,027 39,082 19,541 58,624 29,312 14,656 7,328

More profiles

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