λ
Sigma Notebook

1,009,365

3 × 5 × 7 × 9613
Deficient Odd Composite

1,009,365 is odd and not a perfect square. Its factorization is 3 × 5 × 7 × 9613 and its 16 divisors sum to 1,845,888.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 9613
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,845,888
Proper Divisor Sum 836,523
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1009361 ← → #1009369

Radix Representation

Decimal 1009365
Binary 11110110011011010101 (20 bits)
Octal 0o3663325
Hexadecimal 0xF66D5

Divisor Catalog (16)

1 3 5 7 15 21 35 105 9,613 28,839 48,065 67,291 144,195 201,873 336,455 1,009,365

Collatz Trajectory (90 steps to reach 1)

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

1,009,365 3,028,096 1,514,048 757,024 378,512 189,256 94,628 47,314 23,657 70,972 35,486 17,743 53,230 26,615 79,846 39,923 119,770 59,885 179,656 89,828 44,914 22,457 67,372 33,686 16,843 50,530 25,265 75,796 37,898 18,949 56,848 28,424 14,212 7,106 3,553 10,660 5,330 2,665 7,996 3,998 1,999 5,998 2,999 8,998 4,499 13,498 6,749 20,248 10,124 5,062 2,531 7,594 3,797 11,392 5,696 2,848 1,424 712 356 178

More profiles

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