2,729,973

3 × 29 × 31379

2,729,973 factors as 3 × 29 × 31379. Its 8 positive divisors give a proper-divisor sum of 1,035,627, so this integer is deficient. The Collatz stopping time is 200 steps.

Prime Factor Structure

Factorization String 3 × 29 × 31379

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,765,600

Proper Divisor Sum 1,035,627

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #2729959 ← → #2729983

Radix Representation

Decimal	2729973
Binary	1010011010011111110101 (22 bits)
Octal	0o12323765
Hexadecimal	0x29A7F5

Divisor Catalog (8)

1 3 29 87 31,379 94,137 909,991 2,729,973

Collatz Trajectory (200 steps to reach 1)

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

2,729,973 8,189,920 4,094,960 2,047,480 1,023,740 511,870 255,935 767,806 383,903 1,151,710 575,855 1,727,566 863,783 2,591,350 1,295,675 3,887,026 1,943,513 5,830,540 2,915,270 1,457,635 4,372,906 2,186,453 6,559,360 3,279,680 1,639,840 819,920 409,960 204,980 102,490 51,245 153,736 76,868 38,434 19,217 57,652 28,826 14,413 43,240 21,620 10,810 5,405 16,216 8,108 4,054 2,027 6,082 3,041 9,124 4,562 2,281 6,844 3,422 1,711 5,134 2,567 7,702 3,851 11,554 5,777 17,332

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