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Atlas › Integer Profiles › Node 5,418,875

5,418,875

53 × 7 × 11 × 563
Deficient Odd Composite

5,418,875 factors as 5^3 × 7 × 11 × 563. Its 32 positive divisors give a proper-divisor sum of 3,027,589, so this integer is deficient. The Collatz stopping time is 139 steps.

Prime Factor Structure

Factorization String 5^3 × 7 × 11 × 563
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,446,464
Proper Divisor Sum 3,027,589
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #5418859 ← → #5418877

Radix Representation

Decimal 5418875
Binary 10100101010111101111011 (23 bits)
Octal 0o24527573
Hexadecimal 0x52AF7B

Divisor Catalog (32)

1 5 7 11 25 35 55 77 125 175 275 385 563 875 1,375 1,925 2,815 3,941 6,193 9,625 14,075 19,705 30,965 43,351 70,375 98,525 154,825 216,755 492,625 774,125 1,083,775 5,418,875

Collatz Trajectory (139 steps to reach 1)

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

5,418,875 16,256,626 8,128,313 24,384,940 12,192,470 6,096,235 18,288,706 9,144,353 27,433,060 13,716,530 6,858,265 20,574,796 10,287,398 5,143,699 15,431,098 7,715,549 23,146,648 11,573,324 5,786,662 2,893,331 8,679,994 4,339,997 13,019,992 6,509,996 3,254,998 1,627,499 4,882,498 2,441,249 7,323,748 3,661,874 1,830,937 5,492,812 2,746,406 1,373,203 4,119,610 2,059,805 6,179,416 3,089,708 1,544,854 772,427 2,317,282 1,158,641 3,475,924 1,737,962 868,981 2,606,944 1,303,472 651,736 325,868 162,934 81,467 244,402 122,201 366,604 183,302 91,651 274,954 137,477 412,432 206,216

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