λ
Ratio Atlas

1,540,797

3 × 191 × 2689
Deficient Odd Composite

1,540,797 factors as 3 × 191 × 2689. Its 8 positive divisors give a proper-divisor sum of 525,123, so this integer is deficient. The Collatz stopping time is 132 steps.

Prime Factor Structure

Factorization String 3 × 191 × 2689
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,065,920
Proper Divisor Sum 525,123
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1540789 ← → #1540807

Radix Representation

Decimal 1540797
Binary 101111000001010111101 (21 bits)
Octal 0o5701275
Hexadecimal 0x1782BD

Divisor Catalog (8)

1 3 191 573 2,689 8,067 513,599 1,540,797

Collatz Trajectory (132 steps to reach 1)

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

1,540,797 4,622,392 2,311,196 1,155,598 577,799 1,733,398 866,699 2,600,098 1,300,049 3,900,148 1,950,074 975,037 2,925,112 1,462,556 731,278 365,639 1,096,918 548,459 1,645,378 822,689 2,468,068 1,234,034 617,017 1,851,052 925,526 462,763 1,388,290 694,145 2,082,436 1,041,218 520,609 1,561,828 780,914 390,457 1,171,372 585,686 292,843 878,530 439,265 1,317,796 658,898 329,449 988,348 494,174 247,087 741,262 370,631 1,111,894 555,947 1,667,842 833,921 2,501,764 1,250,882 625,441 1,876,324 938,162 469,081 1,407,244 703,622 351,811

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