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Atlas › Integer Profiles › Node 5,437,775

5,437,775

52 × 72 × 23 × 193
Deficient Odd Composite

5,437,775 factors as 5^2 × 7^2 × 23 × 193. Its 36 positive divisors give a proper-divisor sum of 2,789,377, so this integer is deficient. The Collatz stopping time is 201 steps.

Prime Factor Structure

Factorization String 5^2 × 7^2 × 23 × 193
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 8,227,152
Proper Divisor Sum 2,789,377
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #5437771 ← → #5437777

Radix Representation

Decimal 5437775
Binary 10100101111100101001111 (23 bits)
Octal 0o24574517
Hexadecimal 0x52F94F

Divisor Catalog (36)

1 5 7 23 25 35 49 115 161 175 193 245 575 805 965 1,127 1,225 1,351 4,025 4,439 4,825 5,635 6,755 9,457 22,195 28,175 31,073 33,775 47,285 110,975 155,365 217,511 236,425 776,825 1,087,555 5,437,775

Collatz Trajectory (201 steps to reach 1)

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

5,437,775 16,313,326 8,156,663 24,469,990 12,234,995 36,704,986 18,352,493 55,057,480 27,528,740 13,764,370 6,882,185 20,646,556 10,323,278 5,161,639 15,484,918 7,742,459 23,227,378 11,613,689 34,841,068 17,420,534 8,710,267 26,130,802 13,065,401 39,196,204 19,598,102 9,799,051 29,397,154 14,698,577 44,095,732 22,047,866 11,023,933 33,071,800 16,535,900 8,267,950 4,133,975 12,401,926 6,200,963 18,602,890 9,301,445 27,904,336 13,952,168 6,976,084 3,488,042 1,744,021 5,232,064 2,616,032 1,308,016 654,008 327,004 163,502 81,751 245,254 122,627 367,882 183,941 551,824 275,912 137,956 68,978 34,489

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