λ
Sigma Notebook

1,165,584

24 × 3 × 7 × 3469
Abundant Even Composite

1,165,584 is even and not a perfect square. Its factorization is 2^4 × 3 × 7 × 3469 and its 40 divisors sum to 3,442,240.

Prime Factor Structure

Factorization String 2^4 × 3 × 7 × 3469
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 3,442,240
Proper Divisor Sum 2,276,656
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1165583 ← → #1165643

Radix Representation

Decimal 1165584
Binary 100011100100100010000 (21 bits)
Octal 0o4344420
Hexadecimal 0x11C910

Divisor Catalog (40)

1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 3,469 6,938 10,407 13,876 20,814 24,283 27,752 41,628 48,566 55,504 72,849 83,256 97,132 145,698 166,512 194,264 291,396 388,528 582,792 1,165,584

Collatz Trajectory (191 steps to reach 1)

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

1,165,584 582,792 291,396 145,698 72,849 218,548 109,274 54,637 163,912 81,956 40,978 20,489 61,468 30,734 15,367 46,102 23,051 69,154 34,577 103,732 51,866 25,933 77,800 38,900 19,450 9,725 29,176 14,588 7,294 3,647 10,942 5,471 16,414 8,207 24,622 12,311 36,934 18,467 55,402 27,701 83,104 41,552 20,776 10,388 5,194 2,597 7,792 3,896 1,948 974 487 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235

More profiles

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