λ
Sigma Notebook

1,741,739

53 × 59 × 557
Deficient Odd Composite

1,741,739 is odd and not a perfect square. Its factorization is 53 × 59 × 557 and its 8 divisors sum to 1,807,920.

Prime Factor Structure

Factorization String 53 × 59 × 557
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,807,920
Proper Divisor Sum 66,181
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #1741723 ← → #1741741

Radix Representation

Decimal 1741739
Binary 110101001001110101011 (21 bits)
Octal 0o6511653
Hexadecimal 0x1A93AB

Divisor Catalog (8)

1 53 59 557 3,127 29,521 32,863 1,741,739

Collatz Trajectory (189 steps to reach 1)

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

1,741,739 5,225,218 2,612,609 7,837,828 3,918,914 1,959,457 5,878,372 2,939,186 1,469,593 4,408,780 2,204,390 1,102,195 3,306,586 1,653,293 4,959,880 2,479,940 1,239,970 619,985 1,859,956 929,978 464,989 1,394,968 697,484 348,742 174,371 523,114 261,557 784,672 392,336 196,168 98,084 49,042 24,521 73,564 36,782 18,391 55,174 27,587 82,762 41,381 124,144 62,072 31,036 15,518 7,759 23,278 11,639 34,918 17,459 52,378 26,189 78,568 39,284 19,642 9,821 29,464 14,732 7,366 3,683 11,050

More profiles

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