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Atlas › Integer Profiles › Node 52,392,016

52,392,016

24 × 439 × 7459
Deficient Even Composite

52,392,016 factors as 2^4 × 439 × 7459. Its 20 positive divisors give a proper-divisor sum of 49,362,384, so this integer is deficient. The Collatz stopping time is 212 steps.

Prime Factor Structure

Factorization String 2^4 × 439 × 7459
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 101,754,400
Proper Divisor Sum 49,362,384
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #52392001 ← → #52392023

Radix Representation

Decimal 52392016
Binary 11000111110111000001010000 (26 bits)
Octal 0o307670120
Hexadecimal 0x31F7050

Divisor Catalog (20)

1 2 4 8 16 439 878 1,756 3,512 7,024 7,459 14,918 29,836 59,672 119,344 3,274,501 6,549,002 13,098,004 26,196,008 52,392,016

Collatz Trajectory (212 steps to reach 1)

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

52,392,016 26,196,008 13,098,004 6,549,002 3,274,501 9,823,504 4,911,752 2,455,876 1,227,938 613,969 1,841,908 920,954 460,477 1,381,432 690,716 345,358 172,679 518,038 259,019 777,058 388,529 1,165,588 582,794 291,397 874,192 437,096 218,548 109,274 54,637 163,912 81,956 40,978 20,489 61,468 30,734 15,367 46,102 23,051 69,154 34,577 103,732 51,866 25,933 77,800 38,900 19,450 9,725 29,176 14,588 7,294 3,647 10,942 5,471 16,414 8,207 24,622 12,311 36,934 18,467 55,402

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