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Atlas › Integer Profiles › Node 51,736,025

51,736,025

52 × 11 × 419 × 449
Deficient Odd Composite

51,736,025 factors as 5^2 × 11 × 419 × 449. Its 24 positive divisors give a proper-divisor sum of 18,571,975, so this integer is deficient. The Collatz stopping time is 212 steps.

Prime Factor Structure

Factorization String 5^2 × 11 × 419 × 449
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 70,308,000
Proper Divisor Sum 18,571,975
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #51736021 ← → #51736043

Radix Representation

Decimal 51736025
Binary 11000101010110110111011001 (26 bits)
Octal 0o305266731
Hexadecimal 0x3156DD9

Divisor Catalog (24)

1 5 11 25 55 275 419 449 2,095 2,245 4,609 4,939 10,475 11,225 23,045 24,695 115,225 123,475 188,131 940,655 2,069,441 4,703,275 10,347,205 51,736,025

Collatz Trajectory (212 steps to reach 1)

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

51,736,025 155,208,076 77,604,038 38,802,019 116,406,058 58,203,029 174,609,088 87,304,544 43,652,272 21,826,136 10,913,068 5,456,534 2,728,267 8,184,802 4,092,401 12,277,204 6,138,602 3,069,301 9,207,904 4,603,952 2,301,976 1,150,988 575,494 287,747 863,242 431,621 1,294,864 647,432 323,716 161,858 80,929 242,788 121,394 60,697 182,092 91,046 45,523 136,570 68,285 204,856 102,428 51,214 25,607 76,822 38,411 115,234 57,617 172,852 86,426 43,213 129,640 64,820 32,410 16,205 48,616 24,308 12,154 6,077 18,232 9,116

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