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Atlas › Integer Profiles › Node 5,574,275

5,574,275

52 × 7 × 53 × 601
Deficient Odd Composite

5,574,275 factors as 5^2 × 7 × 53 × 601. Its 24 positive divisors give a proper-divisor sum of 2,487,709, so this integer is deficient. The Collatz stopping time is 201 steps.

Prime Factor Structure

Factorization String 5^2 × 7 × 53 × 601
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,061,984
Proper Divisor Sum 2,487,709
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #5574253 ← → #5574307

Radix Representation

Decimal 5574275
Binary 10101010000111010000011 (23 bits)
Octal 0o25207203
Hexadecimal 0x550E83

Divisor Catalog (24)

1 5 7 25 35 53 175 265 371 601 1,325 1,855 3,005 4,207 9,275 15,025 21,035 31,853 105,175 159,265 222,971 796,325 1,114,855 5,574,275

Collatz Trajectory (201 steps to reach 1)

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

5,574,275 16,722,826 8,361,413 25,084,240 12,542,120 6,271,060 3,135,530 1,567,765 4,703,296 2,351,648 1,175,824 587,912 293,956 146,978 73,489 220,468 110,234 55,117 165,352 82,676 41,338 20,669 62,008 31,004 15,502 7,751 23,254 11,627 34,882 17,441 52,324 26,162 13,081 39,244 19,622 9,811 29,434 14,717 44,152 22,076 11,038 5,519 16,558 8,279 24,838 12,419 37,258 18,629 55,888 27,944 13,972 6,986 3,493 10,480 5,240 2,620 1,310 655 1,966 983

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