λ
Ratio Atlas

52,403,308

22 × 47 × 278741
Deficient Even Composite

52,403,308 factors as 2^2 × 47 × 278741. Its 12 positive divisors give a proper-divisor sum of 41,254,004, so this integer is deficient. The Collatz stopping time is 318 steps.

Prime Factor Structure

Factorization String 2^2 × 47 × 278741
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 93,657,312
Proper Divisor Sum 41,254,004
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #52403297 ← → #52403321

Radix Representation

Decimal 52403308
Binary 11000111111001110001101100 (26 bits)
Octal 0o307716154
Hexadecimal 0x31F9C6C

Divisor Catalog (12)

Collatz Trajectory (318 steps to reach 1)

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

52,403,308 26,201,654 13,100,827 39,302,482 19,651,241 58,953,724 29,476,862 14,738,431 44,215,294 22,107,647 66,322,942 33,161,471 99,484,414 49,742,207 149,226,622 74,613,311 223,839,934 111,919,967 335,759,902 167,879,951 503,639,854 251,819,927 755,459,782 377,729,891 1,133,189,674 566,594,837 1,699,784,512 849,892,256 424,946,128 212,473,064 106,236,532 53,118,266 26,559,133 79,677,400 39,838,700 19,919,350 9,959,675 29,879,026 14,939,513 44,818,540 22,409,270 11,204,635 33,613,906 16,806,953 50,420,860 25,210,430 12,605,215 37,815,646 18,907,823 56,723,470 28,361,735 85,085,206 42,542,603 127,627,810 63,813,905 191,441,716 95,720,858 47,860,429 143,581,288 71,790,644

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