λ
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Atlas › Integer Profiles › Node 3,357,096

3,357,096

23 × 3 × 43 × 3253
Abundant Even Composite

3,357,096 factors as 2^3 × 3 × 43 × 3253. Its 32 positive divisors give a proper-divisor sum of 5,233,464, so this integer is abundant. The Collatz stopping time is 177 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 43 × 3253
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,590,560
Proper Divisor Sum 5,233,464
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3357071 ← → #3357113

Radix Representation

Decimal 3357096
Binary 1100110011100110101000 (22 bits)
Octal 0o14634650
Hexadecimal 0x3339A8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 43 86 129 172 258 344 516 1,032 3,253 6,506 9,759 13,012 19,518 26,024 39,036 78,072 139,879 279,758 419,637 559,516 839,274 1,119,032 1,678,548 3,357,096

Collatz Trajectory (177 steps to reach 1)

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

3,357,096 1,678,548 839,274 419,637 1,258,912 629,456 314,728 157,364 78,682 39,341 118,024 59,012 29,506 14,753 44,260 22,130 11,065 33,196 16,598 8,299 24,898 12,449 37,348 18,674 9,337 28,012 14,006 7,003 21,010 10,505 31,516 15,758 7,879 23,638 11,819 35,458 17,729 53,188 26,594 13,297 39,892 19,946 9,973 29,920 14,960 7,480 3,740 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554

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