λ
Sigma Notebook

4,483,375

53 × 13 × 31 × 89
Deficient Odd Composite

4,483,375 is odd and not a perfect square. Its factorization is 5^3 × 13 × 31 × 89 and its 32 divisors sum to 6,289,920.

Prime Factor Structure

Factorization String 5^3 × 13 × 31 × 89
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,289,920
Proper Divisor Sum 1,806,545
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #4483363 ← → #4483387

Radix Representation

Decimal 4483375
Binary 10001000110100100101111 (23 bits)
Octal 0o21064457
Hexadecimal 0x44692F

Divisor Catalog (32)

1 5 13 25 31 65 89 125 155 325 403 445 775 1,157 1,625 2,015 2,225 2,759 3,875 5,785 10,075 11,125 13,795 28,925 35,867 50,375 68,975 144,625 179,335 344,875 896,675 4,483,375

Collatz Trajectory (255 steps to reach 1)

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

4,483,375 13,450,126 6,725,063 20,175,190 10,087,595 30,262,786 15,131,393 45,394,180 22,697,090 11,348,545 34,045,636 17,022,818 8,511,409 25,534,228 12,767,114 6,383,557 19,150,672 9,575,336 4,787,668 2,393,834 1,196,917 3,590,752 1,795,376 897,688 448,844 224,422 112,211 336,634 168,317 504,952 252,476 126,238 63,119 189,358 94,679 284,038 142,019 426,058 213,029 639,088 319,544 159,772 79,886 39,943 119,830 59,915 179,746 89,873 269,620 134,810 67,405 202,216 101,108 50,554 25,277 75,832 37,916 18,958 9,479 28,438

More profiles

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