λ
Sigma Notebook

700,941

3 × 31 × 7537
Deficient Odd Composite

700,941 is odd and not a perfect square. Its factorization is 3 × 31 × 7537 and its 8 divisors sum to 964,864.

Prime Factor Structure

Factorization String 3 × 31 × 7537
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 964,864
Proper Divisor Sum 263,923
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #700937 ← → #700949

Radix Representation

Decimal 700941
Binary 10101011001000001101 (20 bits)
Octal 0o2531015
Hexadecimal 0xAB20D

Divisor Catalog (8)

1 3 31 93 7,537 22,611 233,647 700,941

Collatz Trajectory (167 steps to reach 1)

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

700,941 2,102,824 1,051,412 525,706 262,853 788,560 394,280 197,140 98,570 49,285 147,856 73,928 36,964 18,482 9,241 27,724 13,862 6,931 20,794 10,397 31,192 15,596 7,798 3,899 11,698 5,849 17,548 8,774 4,387 13,162 6,581 19,744 9,872 4,936 2,468 1,234 617 1,852 926 463 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124

More profiles

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