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Atlas › Integer Profiles › Node 6,900,575

6,900,575

52 × 11 × 23 × 1091
Deficient Odd Composite

6,900,575 factors as 5^2 × 11 × 23 × 1091. Its 24 positive divisors give a proper-divisor sum of 2,848,801, so this integer is deficient. The Collatz stopping time is 147 steps.

Prime Factor Structure

Factorization String 5^2 × 11 × 23 × 1091
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,749,376
Proper Divisor Sum 2,848,801
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #6900563 ← → #6900577

Radix Representation

Decimal 6900575
Binary 11010010100101101011111 (23 bits)
Octal 0o32245537
Hexadecimal 0x694B5F

Divisor Catalog (24)

1 5 11 23 25 55 115 253 275 575 1,091 1,265 5,455 6,325 12,001 25,093 27,275 60,005 125,465 276,023 300,025 627,325 1,380,115 6,900,575

Collatz Trajectory (147 steps to reach 1)

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

6,900,575 20,701,726 10,350,863 31,052,590 15,526,295 46,578,886 23,289,443 69,868,330 34,934,165 104,802,496 52,401,248 26,200,624 13,100,312 6,550,156 3,275,078 1,637,539 4,912,618 2,456,309 7,368,928 3,684,464 1,842,232 921,116 460,558 230,279 690,838 345,419 1,036,258 518,129 1,554,388 777,194 388,597 1,165,792 582,896 291,448 145,724 72,862 36,431 109,294 54,647 163,942 81,971 245,914 122,957 368,872 184,436 92,218 46,109 138,328 69,164 34,582 17,291 51,874 25,937 77,812 38,906 19,453 58,360 29,180 14,590 7,295

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