λ
Sigma Notebook

7,361,595

32 × 5 × 17 × 9623
Deficient Odd Composite

7,361,595 is odd and not a perfect square. Its factorization is 3^2 × 5 × 17 × 9623 and its 24 divisors sum to 13,512,096.

Prime Factor Structure

Factorization String 3^2 × 5 × 17 × 9623
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 13,512,096
Proper Divisor Sum 6,150,501
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7361551 ← → #7361597

Radix Representation

Decimal 7361595
Binary 11100000101010000111011 (23 bits)
Octal 0o34052073
Hexadecimal 0x70543B

Divisor Catalog (24)

1 3 5 9 15 17 45 51 85 153 255 765 9,623 28,869 48,115 86,607 144,345 163,591 433,035 490,773 817,955 1,472,319 2,453,865 7,361,595

Collatz Trajectory (142 steps to reach 1)

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

7,361,595 22,084,786 11,042,393 33,127,180 16,563,590 8,281,795 24,845,386 12,422,693 37,268,080 18,634,040 9,317,020 4,658,510 2,329,255 6,987,766 3,493,883 10,481,650 5,240,825 15,722,476 7,861,238 3,930,619 11,791,858 5,895,929 17,687,788 8,843,894 4,421,947 13,265,842 6,632,921 19,898,764 9,949,382 4,974,691 14,924,074 7,462,037 22,386,112 11,193,056 5,596,528 2,798,264 1,399,132 699,566 349,783 1,049,350 524,675 1,574,026 787,013 2,361,040 1,180,520 590,260 295,130 147,565 442,696 221,348 110,674 55,337 166,012 83,006 41,503 124,510 62,255 186,766 93,383 280,150

More profiles

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