λ
Sigma Notebook

7,564,503

3 × 2521501
Deficient Odd Composite

7,564,503 is odd and not a perfect square. Its factorization is 3 × 2521501 and its 4 divisors sum to 10,086,008.

Prime Factor Structure

Factorization String 3 × 2521501
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 10,086,008
Proper Divisor Sum 2,521,505
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #7564499 ← → #7564511

Radix Representation

Decimal 7564503
Binary 11100110110110011010111 (23 bits)
Octal 0o34666327
Hexadecimal 0x736CD7

Divisor Catalog (4)

1 3 2,521,501 7,564,503

Collatz Trajectory (204 steps to reach 1)

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

7,564,503 22,693,510 11,346,755 34,040,266 17,020,133 51,060,400 25,530,200 12,765,100 6,382,550 3,191,275 9,573,826 4,786,913 14,360,740 7,180,370 3,590,185 10,770,556 5,385,278 2,692,639 8,077,918 4,038,959 12,116,878 6,058,439 18,175,318 9,087,659 27,262,978 13,631,489 40,894,468 20,447,234 10,223,617 30,670,852 15,335,426 7,667,713 23,003,140 11,501,570 5,750,785 17,252,356 8,626,178 4,313,089 12,939,268 6,469,634 3,234,817 9,704,452 4,852,226 2,426,113 7,278,340 3,639,170 1,819,585 5,458,756 2,729,378 1,364,689 4,094,068 2,047,034 1,023,517 3,070,552 1,535,276 767,638 383,819 1,151,458 575,729 1,727,188

More profiles

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