λ
Math Directory

3,047,521

523 × 5827
Deficient Odd Composite

3,047,521 factors as 523 × 5827. Its 4 positive divisors give a proper-divisor sum of 6,351, so this integer is deficient. The Collatz stopping time is 270 steps.

Prime Factor Structure

Factorization String 523 × 5827
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,053,872
Proper Divisor Sum 6,351
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #3047509 ← → #3047537

Radix Representation

Decimal 3047521
Binary 1011101000000001100001 (22 bits)
Octal 0o13500141
Hexadecimal 0x2E8061

Divisor Catalog (4)

1 523 5,827 3,047,521

Collatz Trajectory (270 steps to reach 1)

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

3,047,521 9,142,564 4,571,282 2,285,641 6,856,924 3,428,462 1,714,231 5,142,694 2,571,347 7,714,042 3,857,021 11,571,064 5,785,532 2,892,766 1,446,383 4,339,150 2,169,575 6,508,726 3,254,363 9,763,090 4,881,545 14,644,636 7,322,318 3,661,159 10,983,478 5,491,739 16,475,218 8,237,609 24,712,828 12,356,414 6,178,207 18,534,622 9,267,311 27,801,934 13,900,967 41,702,902 20,851,451 62,554,354 31,277,177 93,831,532 46,915,766 23,457,883 70,373,650 35,186,825 105,560,476 52,780,238 26,390,119 79,170,358 39,585,179 118,755,538 59,377,769 178,133,308 89,066,654 44,533,327 133,599,982 66,799,991 200,399,974 100,199,987 300,599,962 150,299,981

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