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Atlas › Integer Profiles › Node 3,301,568

3,301,568

26 × 79 × 653
Abundant Even Composite

3,301,568 factors as 2^6 × 79 × 653. Its 28 positive divisors give a proper-divisor sum of 3,343,072, so this integer is abundant. The Collatz stopping time is 71 steps.

Prime Factor Structure

Factorization String 2^6 × 79 × 653
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 6,644,640
Proper Divisor Sum 3,343,072
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #3301561 ← → #3301579

Radix Representation

Decimal 3301568
Binary 1100100110000011000000 (22 bits)
Octal 0o14460300
Hexadecimal 0x3260C0

Divisor Catalog (28)

1 2 4 8 16 32 64 79 158 316 632 653 1,264 1,306 2,528 2,612 5,056 5,224 10,448 20,896 41,792 51,587 103,174 206,348 412,696 825,392 1,650,784 3,301,568

Collatz Trajectory (71 steps to reach 1)

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

3,301,568 1,650,784 825,392 412,696 206,348 103,174 51,587 154,762 77,381 232,144 116,072 58,036 29,018 14,509 43,528 21,764 10,882 5,441 16,324 8,162 4,081 12,244 6,122 3,061 9,184 4,592 2,296 1,148 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11 34 17

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