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Atlas › Integer Profiles › Node 3,459,584

3,459,584

29 × 29 × 233
Abundant Even Composite

3,459,584 factors as 2^9 × 29 × 233. Its 40 positive divisors give a proper-divisor sum of 3,721,876, so this integer is abundant. The Collatz stopping time is 45 steps.

Prime Factor Structure

Factorization String 2^9 × 29 × 233
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 7,181,460
Proper Divisor Sum 3,721,876
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #3459563 ← → #3459587

Radix Representation

Decimal 3459584
Binary 1101001100101000000000 (22 bits)
Octal 0o15145000
Hexadecimal 0x34CA00

Divisor Catalog (40)

1 2 4 8 16 29 32 58 64 116 128 232 233 256 464 466 512 928 932 1,856 1,864 3,712 3,728 6,757 7,424 7,456 13,514 14,848 14,912 27,028 29,824 54,056 59,648 108,112 119,296 216,224 432,448 864,896 1,729,792 3,459,584

Collatz Trajectory (45 steps to reach 1)

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

3,459,584 1,729,792 864,896 432,448 216,224 108,112 54,056 27,028 13,514 6,757 20,272 10,136 5,068 2,534 1,267 3,802 1,901 5,704 2,852 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

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