λ
Ratio Atlas

4,967,753

7 × 709679
Deficient Odd Composite

4,967,753 factors as 7 × 709679. Its 4 positive divisors give a proper-divisor sum of 709,687, so this integer is deficient. The Collatz stopping time is 237 steps.

Prime Factor Structure

Factorization String 7 × 709679
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 5,677,440
Proper Divisor Sum 709,687
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #4967737 ← → #4967761

Radix Representation

Decimal 4967753
Binary 10010111100110101001001 (23 bits)
Octal 0o22746511
Hexadecimal 0x4BCD49

Divisor Catalog (4)

1 7 709,679 4,967,753

Collatz Trajectory (237 steps to reach 1)

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

4,967,753 14,903,260 7,451,630 3,725,815 11,177,446 5,588,723 16,766,170 8,383,085 25,149,256 12,574,628 6,287,314 3,143,657 9,430,972 4,715,486 2,357,743 7,073,230 3,536,615 10,609,846 5,304,923 15,914,770 7,957,385 23,872,156 11,936,078 5,968,039 17,904,118 8,952,059 26,856,178 13,428,089 40,284,268 20,142,134 10,071,067 30,213,202 15,106,601 45,319,804 22,659,902 11,329,951 33,989,854 16,994,927 50,984,782 25,492,391 76,477,174 38,238,587 114,715,762 57,357,881 172,073,644 86,036,822 43,018,411 129,055,234 64,527,617 193,582,852 96,791,426 48,395,713 145,187,140 72,593,570 36,296,785 108,890,356 54,445,178 27,222,589 81,667,768 40,833,884

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