λ
Sigma Notebook

7,542,637

113 × 66749
Deficient Odd Composite

7,542,637 is odd and not a perfect square. Its factorization is 113 × 66749 and its 4 divisors sum to 7,609,500.

Prime Factor Structure

Factorization String 113 × 66749
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,609,500
Proper Divisor Sum 66,863
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7542629 ← → #7542653

Radix Representation

Decimal 7542637
Binary 11100110001011101101101 (23 bits)
Octal 0o34613555
Hexadecimal 0x73176D

Divisor Catalog (4)

1 113 66,749 7,542,637

Collatz Trajectory (116 steps to reach 1)

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

7,542,637 22,627,912 11,313,956 5,656,978 2,828,489 8,485,468 4,242,734 2,121,367 6,364,102 3,182,051 9,546,154 4,773,077 14,319,232 7,159,616 3,579,808 1,789,904 894,952 447,476 223,738 111,869 335,608 167,804 83,902 41,951 125,854 62,927 188,782 94,391 283,174 141,587 424,762 212,381 637,144 318,572 159,286 79,643 238,930 119,465 358,396 179,198 89,599 268,798 134,399 403,198 201,599 604,798 302,399 907,198 453,599 1,360,798 680,399 2,041,198 1,020,599 3,061,798 1,530,899 4,592,698 2,296,349 6,889,048 3,444,524 1,722,262

More profiles

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