λ
Sigma Notebook

937,967

31 × 79 × 383
Deficient Odd Composite

937,967 is odd and not a perfect square. Its factorization is 31 × 79 × 383 and its 8 divisors sum to 983,040.

Prime Factor Structure

Factorization String 31 × 79 × 383
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 983,040
Proper Divisor Sum 45,073
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #937949 ← → #937969

Radix Representation

Decimal 937967
Binary 11100100111111101111 (20 bits)
Octal 0o3447757
Hexadecimal 0xE4FEF

Divisor Catalog (8)

1 31 79 383 2,449 11,873 30,257 937,967

Collatz Trajectory (183 steps to reach 1)

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

937,967 2,813,902 1,406,951 4,220,854 2,110,427 6,331,282 3,165,641 9,496,924 4,748,462 2,374,231 7,122,694 3,561,347 10,684,042 5,342,021 16,026,064 8,013,032 4,006,516 2,003,258 1,001,629 3,004,888 1,502,444 751,222 375,611 1,126,834 563,417 1,690,252 845,126 422,563 1,267,690 633,845 1,901,536 950,768 475,384 237,692 118,846 59,423 178,270 89,135 267,406 133,703 401,110 200,555 601,666 300,833 902,500 451,250 225,625 676,876 338,438 169,219 507,658 253,829 761,488 380,744 190,372 95,186 47,593 142,780 71,390 35,695

More profiles

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