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Atlas › Integer Profiles › Node 3,505,288

3,505,288

23 × 292 × 521
Deficient Even Composite

3,505,288 factors as 2^3 × 29^2 × 521. Its 24 positive divisors give a proper-divisor sum of 3,314,642, so this integer is deficient. The Collatz stopping time is 146 steps.

Prime Factor Structure

Factorization String 2^3 × 29^2 × 521
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,819,930
Proper Divisor Sum 3,314,642
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3505277 ← → #3505297

Radix Representation

Decimal 3505288
Binary 1101010111110010001000 (22 bits)
Octal 0o15276210
Hexadecimal 0x357C88

Divisor Catalog (24)

1 2 4 8 29 58 116 232 521 841 1,042 1,682 2,084 3,364 4,168 6,728 15,109 30,218 60,436 120,872 438,161 876,322 1,752,644 3,505,288

Collatz Trajectory (146 steps to reach 1)

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

3,505,288 1,752,644 876,322 438,161 1,314,484 657,242 328,621 985,864 492,932 246,466 123,233 369,700 184,850 92,425 277,276 138,638 69,319 207,958 103,979 311,938 155,969 467,908 233,954 116,977 350,932 175,466 87,733 263,200 131,600 65,800 32,900 16,450 8,225 24,676 12,338 6,169 18,508 9,254 4,627 13,882 6,941 20,824 10,412 5,206 2,603 7,810 3,905 11,716 5,858 2,929 8,788 4,394 2,197 6,592 3,296 1,648 824 412 206 103

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