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Atlas › Integer Profiles › Node 3,329,092

3,329,092

22 × 13 × 73 × 877
Deficient Even Composite

3,329,092 factors as 2^2 × 13 × 73 × 877. Its 24 positive divisors give a proper-divisor sum of 3,038,164, so this integer is deficient. The Collatz stopping time is 133 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 73 × 877
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,367,256
Proper Divisor Sum 3,038,164
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #3329087 ← → #3329101

Radix Representation

Decimal 3329092
Binary 1100101100110001000100 (22 bits)
Octal 0o14546104
Hexadecimal 0x32CC44

Divisor Catalog (24)

1 2 4 13 26 52 73 146 292 877 949 1,754 1,898 3,508 3,796 11,401 22,802 45,604 64,021 128,042 256,084 832,273 1,664,546 3,329,092

Collatz Trajectory (133 steps to reach 1)

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

3,329,092 1,664,546 832,273 2,496,820 1,248,410 624,205 1,872,616 936,308 468,154 234,077 702,232 351,116 175,558 87,779 263,338 131,669 395,008 197,504 98,752 49,376 24,688 12,344 6,172 3,086 1,543 4,630 2,315 6,946 3,473 10,420 5,210 2,605 7,816 3,908 1,954 977 2,932 1,466 733 2,200 1,100 550 275 826 413 1,240 620 310 155 466 233 700 350 175 526 263 790 395 1,186 593

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