λ
Sigma Notebook

7,508,937

3 × 1373 × 1823
Deficient Odd Composite

7,508,937 is odd and not a perfect square. Its factorization is 3 × 1373 × 1823 and its 8 divisors sum to 10,024,704.

Prime Factor Structure

Factorization String 3 × 1373 × 1823
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,024,704
Proper Divisor Sum 2,515,767
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #7508929 ← → #7508947

Radix Representation

Decimal 7508937
Binary 11100101001001111001001 (23 bits)
Octal 0o34511711
Hexadecimal 0x7293C9

Divisor Catalog (8)

1 3 1,373 1,823 4,119 5,469 2,502,979 7,508,937

Collatz Trajectory (279 steps to reach 1)

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

7,508,937 22,526,812 11,263,406 5,631,703 16,895,110 8,447,555 25,342,666 12,671,333 38,014,000 19,007,000 9,503,500 4,751,750 2,375,875 7,127,626 3,563,813 10,691,440 5,345,720 2,672,860 1,336,430 668,215 2,004,646 1,002,323 3,006,970 1,503,485 4,510,456 2,255,228 1,127,614 563,807 1,691,422 845,711 2,537,134 1,268,567 3,805,702 1,902,851 5,708,554 2,854,277 8,562,832 4,281,416 2,140,708 1,070,354 535,177 1,605,532 802,766 401,383 1,204,150 602,075 1,806,226 903,113 2,709,340 1,354,670 677,335 2,032,006 1,016,003 3,048,010 1,524,005 4,572,016 2,286,008 1,143,004 571,502 285,751

More profiles

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