λ
Sigma Notebook

1,461,635

5 × 7 × 41761
Deficient Odd Composite

1,461,635 is odd and not a perfect square. Its factorization is 5 × 7 × 41761 and its 8 divisors sum to 2,004,576.

Prime Factor Structure

Factorization String 5 × 7 × 41761
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,004,576
Proper Divisor Sum 542,941
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #1461631 ← → #1461637

Radix Representation

Decimal 1461635
Binary 101100100110110000011 (21 bits)
Octal 0o5446603
Hexadecimal 0x164D83

Divisor Catalog (8)

1 5 7 35 41,761 208,805 292,327 1,461,635

Collatz Trajectory (62 steps to reach 1)

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

1,461,635 4,384,906 2,192,453 6,577,360 3,288,680 1,644,340 822,170 411,085 1,233,256 616,628 308,314 154,157 462,472 231,236 115,618 57,809 173,428 86,714 43,357 130,072 65,036 32,518 16,259 48,778 24,389 73,168 36,584 18,292 9,146 4,573 13,720 6,860 3,430 1,715 5,146 2,573 7,720 3,860 1,930 965 2,896 1,448 724 362 181 544 272 136 68 34 17 52 26 13 40 20 10 5 16 8

More profiles

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